Grouped Distribution Frequency, Variance, Standard Deviation

For the following data find the SAMPLE standard Deviation by Calculator

• 20.2

• 13

• 14.1

• 13.99

For the following data find the POPULATION VARIANCE by calculator

• 199.078341

• 195.9183673

• 14.1

• 13.99

For the following data find the SAMPLE VARIANCE using the calculator

• 199.078341

• 195.9183673

• 14.1

• 13.99

Subtract the mean from each midpoint, then square each difference.Multiply each square by the frequency, then find the sum and divide by (n - 1).

• How to calculate the mean of a grouped frequency distribution

• How to calculate the sample variance of grouped frequency distribution

• How to calculate ANY standard deviation

• How to calculate ANY mean

shows how spread out data is; square of standard deviation

• Definition of variance

• Definition of Standard Deviation

• Definition of Range

• Definition of Mean

shows how far from the mean data is spread out

• Definition of variance

• Definition of Standard Deviation

• Definition of Range

• Definition of Mean

σ²

• Symbol for population variance

• symbol for sample variance

• symbol for population standard deviation

• symbol for sample standard deviation

s²

• Symbol for population variance

• symbol for sample variance

• symbol for population standard deviation

• symbol for sample standard deviation

Multiply the midpoints by the frequencies; find the sum, then divide by n.

• How to calculate the mean of a grouped frequency distribution

• How to calculate the sample variance of grouped frequency distribution

• How to calculate ANY standard deviation

• How to calculate ANY mean

If the variance of a set of data is 25, and the number of observations is 5, what is the standard deviation?

• 5

• 5√5

• 25

• 125