*standard deviation for grouped data YouTube However some alternative methods are also available to compute the standard deviation. These alternative methods simplify the computation. However, in discussing these methods we will focus only on sample data, because sample data rather than the whole population is most interesting to statisticians. Actual Mean Method*

How to Calculate Standard Deviation. Standard Deviation Calculator Instructions. This calculator computes the standard deviation from a data set: Specify whether the data is for an entire population or from a sample. Enter your population or sample observed values in the box above. Values must be numeric and may be separated by commas, spaces or new-line., Mean Deviation for Grouped Data Calculator. Mean deviation in statistics is defined as the mean of the distances of each value from their mean. It is also referred to as mean absolute deviation. The data in a tabular form which indicates the frequency is known as a frequency distribution..

Variance and standard deviation for grouped data: Following are the basic formulas used to calculate the population and sample variances for grouped data. and : where is the population variance, is the sample variance and m is the midpoint of a class. For example, the calculation of the standard deviation for grouped data set differs from the ungrouped data set. The grouped data can be divided into two, i.e., discrete data and continuous data. In the case of grouped data, the standard deviation can be calculated using three methods, i.e, actual mean, assumed mean and step deviation method.

Standard Deviation Graph. Methods available in standard deviation calculator. 1 . Direct user input method. The main objective of this method which is direct input method is to find out the value of sample standard deviation for small or less data sets and for getting the вЂ¦ 07.02.2018В В· How to compute the standard deviation for grouped data.

For example, the calculation of the standard deviation for grouped data set differs from the ungrouped data set. The grouped data can be divided into two, i.e., discrete data and continuous data. In the case of grouped data, the standard deviation can be calculated using three methods, i.e, actual mean, assumed mean and step deviation method. 13.11.2019В В· Standard Deviation Calculator. Here are the step-by-step calculations to work out the Standard Deviation (see below for formulas). Enter your numbers below, the answer is calculated "live": When your data is the whole population the formula is: (The "Population Standard Deviation")

06.11.2019В В· So in statistics, we just define the sample standard deviation. And the one that we typically use is based on the square root of the unbiased sample variance. But when you take that square root, it does give you a biased result when you're trying to use this to estimate the population standard deviation. But it's the simplest, best tool we have. The data is raw вЂ” that is, itвЂ™s not sorted into categories, classified, or otherwise grouped. An ungrouped set of data is basically a list of numbers. Calculating the Sample Mean for Grouped Data. When you have a frequency table or other group of data, the original set of data is вЂ¦

23.10.2012В В· Calculate (Sample) Standard Deviation For Grouped Data Using CASIO fx-260 Solar Calculator. 06.11.2019В В· So in statistics, we just define the sample standard deviation. And the one that we typically use is based on the square root of the unbiased sample variance. But when you take that square root, it does give you a biased result when you're trying to use this to estimate the population standard deviation. But it's the simplest, best tool we have.

For example, the calculation of the standard deviation for grouped data set differs from the ungrouped data set. The grouped data can be divided into two, i.e., discrete data and continuous data. In the case of grouped data, the standard deviation can be calculated using three methods, i.e, actual mean, assumed mean and step deviation method. The Sample Variance Calculator is used to calculate the sample variance of a set of numbers. Calculating Sample Variance. The sample variance is calculated by following formula: Where: s 2 = sample variance x 1,, x N = the sample data set x

Variance and standard deviation for grouped data: Following are the basic formulas used to calculate the population and sample variances for grouped data. and : where is the population variance, is the sample variance and m is the midpoint of a class. Social Studies 201 October 13, 2004 Note: The examples in these notes may be diп¬Ѓerent than used in class. However, the examples are similar and the methods used are identical to what was presented in class. Standard deviation and variance for grouped data See text, section 5.9.2, pp. 237-249.

Formulas for Ungrouped Data Formulas for Grouped Data Calculation of Standard Deviation for Ungrouped Data Problem: Following are the number of students enrolled in English coaching program each month for the last 7 months 24, 21, 29, 18, 26, 20, and 23. Find standard deviation by taking data (a) as sample (b) as population. Variance and standard deviation (grouped data) Introduction In this leaп¬‚et we extend the deп¬Ѓnitions of variance and standard deviation to data which has been grouped. Variance The variance of a set of values, which we denote by Пѓ2,isdeп¬Ѓned as Пѓ2 = f(xв€’xВЇ)2 n

Variance and standard deviation for grouped data: Following are the basic formulas used to calculate the population and sample variances for grouped data. and : where is the population variance, is the sample variance and m is the midpoint of a class. variance and standard deviation, variance calculator, variance formula, variance examples, standard deviation, standard deviation formula, standard deviation calculator, standard вЂ¦

If a set has a low standard deviation, the values are not spread out too much. Just like when working out the mean, the method is different if the data is given to you in groups. This video shows you how to calculate the Standard Deviation. Non-Grouped Data. Non-grouped data is just a list of values. The standard deviation is given by the formula: If a set has a low standard deviation, the values are not spread out too much. Just like when working out the mean, the method is different if the data is given to you in groups. This video shows you how to calculate the Standard Deviation. Non-Grouped Data. Non-grouped data is just a list of values. The standard deviation is given by the formula:

How to calculate standard deviation for grouped and. However some alternative methods are also available to compute the standard deviation. These alternative methods simplify the computation. However, in discussing these methods we will focus only on sample data, because sample data rather than the whole population is most interesting to statisticians. Actual Mean Method, The data is raw вЂ” that is, itвЂ™s not sorted into categories, classified, or otherwise grouped. An ungrouped set of data is basically a list of numbers. Calculating the Sample Mean for Grouped Data. When you have a frequency table or other group of data, the original set of data is вЂ¦.

standard deviation for grouped data YouTube. The data is raw вЂ” that is, itвЂ™s not sorted into categories, classified, or otherwise grouped. An ungrouped set of data is basically a list of numbers. Calculating the Sample Mean for Grouped Data. When you have a frequency table or other group of data, the original set of data is вЂ¦, 06.11.2019В В· So in statistics, we just define the sample standard deviation. And the one that we typically use is based on the square root of the unbiased sample variance. But when you take that square root, it does give you a biased result when you're trying to use this to estimate the population standard deviation. But it's the simplest, best tool we have..

Standard Deviation For Grouped Data Standard Deviation. 14.11.2019В В· Practice calculating sample and population standard deviation. If you're seeing this message, Math В· Statistics and probability В· Summarizing quantitative data В· Variance and standard deviation of a sample. Sample and population standard deviation. Variance and standard deviation of a вЂ¦, 13.11.2019В В· Standard Deviation Calculator. Here are the step-by-step calculations to work out the Standard Deviation (see below for formulas). Enter your numbers below, the answer is calculated "live": When your data is the whole population the formula is: (The "Population Standard Deviation").

5.6 Mean Variance and Standard Deviation for Grouped Data. Formulas for Ungrouped Data Formulas for Grouped Data Calculation of Standard Deviation for Ungrouped Data Problem: Following are the number of students enrolled in English coaching program each month for the last 7 months 24, 21, 29, 18, 26, 20, and 23. Find standard deviation by taking data (a) as sample (b) as population. 13.11.2019В В· Standard Deviation Calculator. Here are the step-by-step calculations to work out the Standard Deviation (see below for formulas). Enter your numbers below, the answer is calculated "live": When your data is the whole population the formula is: (The "Population Standard Deviation").

However some alternative methods are also available to compute the standard deviation. These alternative methods simplify the computation. However, in discussing these methods we will focus only on sample data, because sample data rather than the whole population is most interesting to statisticians. Actual Mean Method Free grouped data arithmetic mean calculations online. Find the average mean for the group data. Can be used for calculating statistics for grouped numbers or creating new math problems.

For example, the calculation of the standard deviation for grouped data set differs from the ungrouped data set. The grouped data can be divided into two, i.e., discrete data and continuous data. In the case of grouped data, the standard deviation can be calculated using three methods, i.e, actual mean, assumed mean and step deviation method. Variance and standard deviation (grouped data) Introduction In this leaп¬‚et we extend the deп¬Ѓnitions of variance and standard deviation to data which has been grouped. Variance The variance of a set of values, which we denote by Пѓ2,isdeп¬Ѓned as Пѓ2 = f(xв€’xВЇ)2 n

Variance and standard deviation for grouped data: Following are the basic formulas used to calculate the population and sample variances for grouped data. and : where is the population variance, is the sample variance and m is the midpoint of a class. However some alternative methods are also available to compute the standard deviation. These alternative methods simplify the computation. However, in discussing these methods we will focus only on sample data, because sample data rather than the whole population is most interesting to statisticians. Actual Mean Method

Standard Deviation Calculator Instructions. This calculator computes the standard deviation from a data set: Specify whether the data is for an entire population or from a sample. Enter your population or sample observed values in the box above. Values must be numeric and may be separated by commas, spaces or new-line. 13.11.2019В В· Standard Deviation Calculator. Here are the step-by-step calculations to work out the Standard Deviation (see below for formulas). Enter your numbers below, the answer is calculated "live": When your data is the whole population the formula is: (The "Population Standard Deviation")

The Sample Variance Calculator is used to calculate the sample variance of a set of numbers. Calculating Sample Variance. The sample variance is calculated by following formula: Where: s 2 = sample variance x 1,, x N = the sample data set x Social Studies 201 October 13, 2004 Note: The examples in these notes may be diп¬Ѓerent than used in class. However, the examples are similar and the methods used are identical to what was presented in class. Standard deviation and variance for grouped data See text, section 5.9.2, pp. 237-249.

06.11.2019В В· So in statistics, we just define the sample standard deviation. And the one that we typically use is based on the square root of the unbiased sample variance. But when you take that square root, it does give you a biased result when you're trying to use this to estimate the population standard deviation. But it's the simplest, best tool we have. For example, the calculation of the standard deviation for grouped data set differs from the ungrouped data set. The grouped data can be divided into two, i.e., discrete data and continuous data. In the case of grouped data, the standard deviation can be calculated using three methods, i.e, actual mean, assumed mean and step deviation method.

Standard Deviation Calculator Instructions. This calculator computes the standard deviation from a data set: Specify whether the data is for an entire population or from a sample. Enter your population or sample observed values in the box above. Values must be numeric and may be separated by commas, spaces or new-line. 07.02.2018В В· How to compute the standard deviation for grouped data.

Instructions: Enter the sample data below and the solver will provide step-by-step calculation of the sample mean, variance and standard deviation: Type the sample (comma or space separated) Name of the variable (Optional) More About Descriptive Statistics Descriptive Statistics corresponds to measures and charts that are derived from sample The formula for variance and standard deviation for grouped data is very similar to the one for ungrouped data. Below, we show the formula for ungrouped data and grouped data.

Standard Deviation Calculator Instructions. This calculator computes the standard deviation from a data set: Specify whether the data is for an entire population or from a sample. Enter your population or sample observed values in the box above. Values must be numeric and may be separated by commas, spaces or new-line. Variance and standard deviation for grouped data: Following are the basic formulas used to calculate the population and sample variances for grouped data. and : where is the population variance, is the sample variance and m is the midpoint of a class.

However some alternative methods are also available to compute the standard deviation. These alternative methods simplify the computation. However, in discussing these methods we will focus only on sample data, because sample data rather than the whole population is most interesting to statisticians. Actual Mean Method Repeat steps 2 and 3 for each data point. To calculate the mean (average) press RCL , 0 , STO , 1 , RCL , 6 , STO , 3 , g , then x-mean (the zero key). Press g , then s to find the standard deviation.

13.11.2019В В· Standard Deviation Calculator. Here are the step-by-step calculations to work out the Standard Deviation (see below for formulas). Enter your numbers below, the answer is calculated "live": When your data is the whole population the formula is: (The "Population Standard Deviation") Instructions: This calculator of descriptive statistics for grouped data calculates the sample mean, variance and standard deviation for grouped data. Grouped data is specified in class groups instead of individual values. It comes with ranges of values associated with a frequency. For example, one range could be 2 вЂ“ 6 and the frequency could

standard deviation for grouped data YouTube. The formula for variance and standard deviation for grouped data is very similar to the one for ungrouped data. Below, we show the formula for ungrouped data and grouped data., Instructions: This calculator of descriptive statistics for grouped data calculates the sample mean, variance and standard deviation for grouped data. Grouped data is specified in class groups instead of individual values. It comes with ranges of values associated with a frequency. For example, one range could be 2 вЂ“ 6 and the frequency could.

Standard Deviation Graph вЂ“ Deviation Calculator. How to Find the Mean, Median, Mode, Range, and Standard Deviation In the sample set, the high data value of 36 exceeds the previous value, 25, by 11. This value seems extreme, given the other values in the set. The value of 36 might be an outlier data point. Calculating Standard Deviation., 14.11.2019В В· Practice calculating sample and population standard deviation. If you're seeing this message, Math В· Statistics and probability В· Summarizing quantitative data В· Variance and standard deviation of a sample. Sample and population standard deviation. Variance and standard deviation of a вЂ¦.

variance and standard deviation, variance calculator, variance formula, variance examples, standard deviation, standard deviation formula, standard deviation calculator, standard вЂ¦ Free grouped data arithmetic mean calculations online. Find the average mean for the group data. Can be used for calculating statistics for grouped numbers or creating new math problems.

Formulas for Ungrouped Data Formulas for Grouped Data Calculation of Standard Deviation for Ungrouped Data Problem: Following are the number of students enrolled in English coaching program each month for the last 7 months 24, 21, 29, 18, 26, 20, and 23. Find standard deviation by taking data (a) as sample (b) as population. 07.02.2018В В· How to compute the standard deviation for grouped data.

Non-Grouped Data Non-grouped data is just a list of values. The standard deviation is given by the formula: Standard Deviation s means 'standard deviation'. S means 'the sum of'. x bar means 'the mean' Example Find the standard deviation of 4, 9, 11, 12, 17, 5, 8, 12, 14 First work out the mean: 10.222 Now, subtract the mean individually from Instructions: This calculator of descriptive statistics for grouped data calculates the sample mean, variance and standard deviation for grouped data. Grouped data is specified in class groups instead of individual values. It comes with ranges of values associated with a frequency. For example, one range could be 2 вЂ“ 6 and the frequency could

06.11.2019В В· So in statistics, we just define the sample standard deviation. And the one that we typically use is based on the square root of the unbiased sample variance. But when you take that square root, it does give you a biased result when you're trying to use this to estimate the population standard deviation. But it's the simplest, best tool we have. The Sample Variance Calculator is used to calculate the sample variance of a set of numbers. Calculating Sample Variance. The sample variance is calculated by following formula: Where: s 2 = sample variance x 1,, x N = the sample data set x

14.11.2019В В· Practice calculating sample and population standard deviation. If you're seeing this message, Math В· Statistics and probability В· Summarizing quantitative data В· Variance and standard deviation of a sample. Sample and population standard deviation. Variance and standard deviation of a вЂ¦ The data is raw вЂ” that is, itвЂ™s not sorted into categories, classified, or otherwise grouped. An ungrouped set of data is basically a list of numbers. Calculating the Sample Mean for Grouped Data. When you have a frequency table or other group of data, the original set of data is вЂ¦

Standard Deviation Calculator Instructions. This calculator computes the standard deviation from a data set: Specify whether the data is for an entire population or from a sample. Enter your population or sample observed values in the box above. Values must be numeric and may be separated by commas, spaces or new-line. The data is raw вЂ” that is, itвЂ™s not sorted into categories, classified, or otherwise grouped. An ungrouped set of data is basically a list of numbers. Calculating the Sample Mean for Grouped Data. When you have a frequency table or other group of data, the original set of data is вЂ¦

13.11.2019В В· Standard Deviation Calculator. Here are the step-by-step calculations to work out the Standard Deviation (see below for formulas). Enter your numbers below, the answer is calculated "live": When your data is the whole population the formula is: (The "Population Standard Deviation") The Sample Variance Calculator is used to calculate the sample variance of a set of numbers. Calculating Sample Variance. The sample variance is calculated by following formula: Where: s 2 = sample variance x 1,, x N = the sample data set x

Instructions: This calculator of descriptive statistics for grouped data calculates the sample mean, variance and standard deviation for grouped data. Grouped data is specified in class groups instead of individual values. It comes with ranges of values associated with a frequency. For example, one range could be 2 вЂ“ 6 and the frequency could 27.07.2017В В· Standard deviation is the measure of dispersion of statistical data. Dispersion computes the deviation of data from its mean or average position. The degree of dispersion is calculated by the procedure of measuring the variation of data points. Calculating Standard Deviation. The formula for standard deviation makes use of three variables.

07.02.2018В В· How to compute the standard deviation for grouped data. For example, the calculation of the standard deviation for grouped data set differs from the ungrouped data set. The grouped data can be divided into two, i.e., discrete data and continuous data. In the case of grouped data, the standard deviation can be calculated using three methods, i.e, actual mean, assumed mean and step deviation method.

Instructions: This calculator of descriptive statistics for grouped data calculates the sample mean, variance and standard deviation for grouped data. Grouped data is specified in class groups instead of individual values. It comes with ranges of values associated with a frequency. For example, one range could be 2 вЂ“ 6 and the frequency could The data is raw вЂ” that is, itвЂ™s not sorted into categories, classified, or otherwise grouped. An ungrouped set of data is basically a list of numbers. Calculating the Sample Mean for Grouped Data. When you have a frequency table or other group of data, the original set of data is вЂ¦

14.11.2019В В· Practice calculating sample and population standard deviation. If you're seeing this message, Math В· Statistics and probability В· Summarizing quantitative data В· Variance and standard deviation of a sample. Sample and population standard deviation. Variance and standard deviation of a вЂ¦ Variance and standard deviation (grouped data) Introduction In this leaп¬‚et we extend the deп¬Ѓnitions of variance and standard deviation to data which has been grouped. Variance The variance of a set of values, which we denote by Пѓ2,isdeп¬Ѓned as Пѓ2 = f(xв€’xВЇ)2 n

Grouped Data Arithmetic Mean Calculator. Social Studies 201 October 13, 2004 Note: The examples in these notes may be diп¬Ѓerent than used in class. However, the examples are similar and the methods used are identical to what was presented in class. Standard deviation and variance for grouped data See text, section 5.9.2, pp. 237-249., Standard Deviation Calculator Instructions. This calculator computes the standard deviation from a data set: Specify whether the data is for an entire population or from a sample. Enter your population or sample observed values in the box above. Values must be numeric and may be separated by commas, spaces or new-line..

Variance and standard deviation (grouped data). Instructions: Enter the sample data below and the solver will provide step-by-step calculation of the sample mean, variance and standard deviation: Type the sample (comma or space separated) Name of the variable (Optional) More About Descriptive Statistics Descriptive Statistics corresponds to measures and charts that are derived from sample, For example, the calculation of the standard deviation for grouped data set differs from the ungrouped data set. The grouped data can be divided into two, i.e., discrete data and continuous data. In the case of grouped data, the standard deviation can be calculated using three methods, i.e, actual mean, assumed mean and step deviation method..

Standard Deviation eMathZone. Free grouped data arithmetic mean calculations online. Find the average mean for the group data. Can be used for calculating statistics for grouped numbers or creating new math problems., Standard Deviation Graph. Methods available in standard deviation calculator. 1 . Direct user input method. The main objective of this method which is direct input method is to find out the value of sample standard deviation for small or less data sets and for getting the вЂ¦.

Standard Deviation For Grouped Data Standard Deviation. 23.10.2012В В· Calculate (Sample) Standard Deviation For Grouped Data Using CASIO fx-260 Solar Calculator. Standard Deviation Calculator Instructions. This calculator computes the standard deviation from a data set: Specify whether the data is for an entire population or from a sample. Enter your population or sample observed values in the box above. Values must be numeric and may be separated by commas, spaces or new-line..

Variance and standard deviation (grouped data) Introduction In this leaп¬‚et we extend the deп¬Ѓnitions of variance and standard deviation to data which has been grouped. Variance The variance of a set of values, which we denote by Пѓ2,isdeп¬Ѓned as Пѓ2 = f(xв€’xВЇ)2 n However some alternative methods are also available to compute the standard deviation. These alternative methods simplify the computation. However, in discussing these methods we will focus only on sample data, because sample data rather than the whole population is most interesting to statisticians. Actual Mean Method

14.11.2019В В· Practice calculating sample and population standard deviation. If you're seeing this message, Math В· Statistics and probability В· Summarizing quantitative data В· Variance and standard deviation of a sample. Sample and population standard deviation. Variance and standard deviation of a вЂ¦ 23.10.2012В В· Calculate (Sample) Standard Deviation For Grouped Data Using CASIO fx-260 Solar Calculator.

However some alternative methods are also available to compute the standard deviation. These alternative methods simplify the computation. However, in discussing these methods we will focus only on sample data, because sample data rather than the whole population is most interesting to statisticians. Actual Mean Method However some alternative methods are also available to compute the standard deviation. These alternative methods simplify the computation. However, in discussing these methods we will focus only on sample data, because sample data rather than the whole population is most interesting to statisticians. Actual Mean Method

Mean Deviation for Grouped Data Calculator. Mean deviation in statistics is defined as the mean of the distances of each value from their mean. It is also referred to as mean absolute deviation. The data in a tabular form which indicates the frequency is known as a frequency distribution. Instructions: This calculator of descriptive statistics for grouped data calculates the sample mean, variance and standard deviation for grouped data. Grouped data is specified in class groups instead of individual values. It comes with ranges of values associated with a frequency. For example, one range could be 2 вЂ“ 6 and the frequency could

Non-Grouped Data Non-grouped data is just a list of values. The standard deviation is given by the formula: Standard Deviation s means 'standard deviation'. S means 'the sum of'. x bar means 'the mean' Example Find the standard deviation of 4, 9, 11, 12, 17, 5, 8, 12, 14 First work out the mean: 10.222 Now, subtract the mean individually from How to Find the Mean, Median, Mode, Range, and Standard Deviation In the sample set, the high data value of 36 exceeds the previous value, 25, by 11. This value seems extreme, given the other values in the set. The value of 36 might be an outlier data point. Calculating Standard Deviation.

Formulas for Ungrouped Data Formulas for Grouped Data Calculation of Standard Deviation for Ungrouped Data Problem: Following are the number of students enrolled in English coaching program each month for the last 7 months 24, 21, 29, 18, 26, 20, and 23. Find standard deviation by taking data (a) as sample (b) as population. Repeat steps 2 and 3 for each data point. To calculate the mean (average) press RCL , 0 , STO , 1 , RCL , 6 , STO , 3 , g , then x-mean (the zero key). Press g , then s to find the standard deviation.

Variance and standard deviation (grouped data) Introduction In this leaп¬‚et we extend the deп¬Ѓnitions of variance and standard deviation to data which has been grouped. Variance The variance of a set of values, which we denote by Пѓ2,isdeп¬Ѓned as Пѓ2 = f(xв€’xВЇ)2 n 23.10.2012В В· Calculate (Sample) Standard Deviation For Grouped Data Using CASIO fx-260 Solar Calculator.

If a set has a low standard deviation, the values are not spread out too much. Just like when working out the mean, the method is different if the data is given to you in groups. This video shows you how to calculate the Standard Deviation. Non-Grouped Data. Non-grouped data is just a list of values. The standard deviation is given by the formula: If a set has a low standard deviation, the values are not spread out too much. Just like when working out the mean, the method is different if the data is given to you in groups. This video shows you how to calculate the Standard Deviation. Non-Grouped Data. Non-grouped data is just a list of values. The standard deviation is given by the formula:

Instructions: Enter the sample data below and the solver will provide step-by-step calculation of the sample mean, variance and standard deviation: Type the sample (comma or space separated) Name of the variable (Optional) More About Descriptive Statistics Descriptive Statistics corresponds to measures and charts that are derived from sample Variance and standard deviation (grouped data) Introduction In this leaп¬‚et we extend the deп¬Ѓnitions of variance and standard deviation to data which has been grouped. Variance The variance of a set of values, which we denote by Пѓ2,isdeп¬Ѓned as Пѓ2 = f(xв€’xВЇ)2 n

23.10.2012В В· Calculate (Sample) Standard Deviation For Grouped Data Using CASIO fx-260 Solar Calculator. Non-Grouped Data Non-grouped data is just a list of values. The standard deviation is given by the formula: Standard Deviation s means 'standard deviation'. S means 'the sum of'. x bar means 'the mean' Example Find the standard deviation of 4, 9, 11, 12, 17, 5, 8, 12, 14 First work out the mean: 10.222 Now, subtract the mean individually from

However some alternative methods are also available to compute the standard deviation. These alternative methods simplify the computation. However, in discussing these methods we will focus only on sample data, because sample data rather than the whole population is most interesting to statisticians. Actual Mean Method Instructions: This calculator of descriptive statistics for grouped data calculates the sample mean, variance and standard deviation for grouped data. Grouped data is specified in class groups instead of individual values. It comes with ranges of values associated with a frequency. For example, one range could be 2 вЂ“ 6 and the frequency could