We are interested in the number of years students in a particular elementary statistics class have lived in Maryland. The information in the following table is from the entire class. Number of Number of Frequency Frequency years years 7 1 22 1 14 23 1 15 1 26 1 18 40 2 19 4 42 2 20 3 Total = 20 Calculate the variance and report to 2 decimal places. 1.

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We are interested in the number of years students in
a particular elementary statistics class have lived in
Maryland. The information in the following table is
from the entire class.
Number of
Number of
Frequency
Frequency
years
years
7
1
22
1
14
23
1
15
1
26
1
18
1
40
2
19
4
42
2
20
3
Total = 20
Calculate the variance and report to 2 decimal
places.
Transcribed Image Text:We are interested in the number of years students in a particular elementary statistics class have lived in Maryland. The information in the following table is from the entire class. Number of Number of Frequency Frequency years years 7 1 22 1 14 23 1 15 1 26 1 18 1 40 2 19 4 42 2 20 3 Total = 20 Calculate the variance and report to 2 decimal places.
Expert Solution
Introduction

Dispersion is used to measure the deviation of observation from the central measures. Variation is the measure of dispersion, which used to measure the spread of the data set. It is calculated by taking the squared deviation from the mean. For the discrete frequency distribution, the variance is defined as :

σ2=fi×xi2f-fi×xif2

 

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