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The given values represent data for a population. Find the variance and the standard deviation for each set of data.$\begin{array}{|c|c|}\hline x_{i} & {f_{i}} \\ \hline 20 & {21} \\ {25} & {10} \\ {30} & {1} \\ {35} & {2} \\ {40} & {2} \\ {40} & {2} \\ {50} & {4} \\ {50} & {5} \\ {55} & {3} \\ {60} & {7} \\ \hline\end{array}$

$233.36,15.28$

Intro Stats / AP Statistics

Chapter 15

STATISTICS

Section 5

Variance and Standard Deviation

Sampling and Data

The Normal Distribution

Linear Regression and Correlation

Mutmainnah A.

April 5, 2022

For these pieces of data (ages 21, 20, 24, 25, 40, 29, 28), the variance is

University of North Carolina at Chapel Hill

Cairn University

Boston College

Lectures

0:00

01:22

The given values represent…

04:28

01:16

04:47

00:45

04:07

04:14

Find the variance and stan…

01:29

Find the mean and the stan…

00:52

01:00

05:50

05:01

00:36

01:03

the given values represent…

07:42

03:53

A sample has a mean of 120…

04:22

01:54

we begin by putting the data and its frequency into a list in spreadsheet table, Um, notice that we've entered all of the data with their corresponding frequencies and actually in any cell. Well, I'm going to put a period here so that we get decimal results. But we can ask for the variance of the population and we have to ask for data and also for its frequency, which we labelled frequency 233.36 roughly. And we can also ask for the standard deviation with a population of this data given these frequencies and we get 15.28 roughly.

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