# Mean and the standard deviation for frequency distribution

Determine the mean and the standard deviation of the following frequency distribution.

Class Frequency

0 up to 5 2

5 up to 10 7

10 up to 15 12

15 up to 20 6

20 up to 25 3

© BrainMass Inc. brainmass.com June 3, 2020, 7:18 pm ad1c9bdddfhttps://brainmass.com/statistics/dispersion-and-spread-of-data/mean-and-the-standard-deviation-for-frequency-distribution-93131

#### Solution Preview

Hello!

In order to solve this, you have to use the midpoints of the histogram classes. For example, we're told that there are 7 observations from 5 up to 10. Using the midpoint, we'll assume that there were 7 observations of 7.5, which is the midpoint between 5 and 10.

So we get the frequency table:

Midpoint ...

#### Solution Summary

The solution shows how to calculate the mean and standard deviation for a discrete frequency distribution of data given..

$2.19