We are interested in the number of years students ina particular elementary statistics class have lived inMaryland. The information in the following table isfrom the entire class.Number ofNumber ofFrequencyFrequencyyearsyears7122114231151261181402194422203Total = 20Calculate the variance and report to 2 decimalplaces.

Answered: We are interested in the number of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Related questions

Question

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 :

$\begin{array}{rcl} σ^{2} & = & \frac{\sum_{}^{} f_{i} \times {x_{i}}^{2}}{\sum_{}^{} f} - {(\frac{\sum_{}^{} f_{i} \times x_{i}}{\sum_{}^{} f})}^{2} \end{array}$