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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22

Problem 9 Hard Difficulty

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

Answer

$233.36,15.28$

Related Courses

Intro Stats / AP Statistics

Algebra 2 and Trigonometry

Chapter 15

STATISTICS

Section 5

Variance and Standard Deviation

Related Topics

Sampling and Data

The Normal Distribution

Linear Regression and Correlation

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Mutmainnah A.

April 5, 2022

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

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Watch More Solved Questions in Chapter 15

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
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Problem 22

Video Transcript

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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Ann Xavier Gantert

Algebra 2 and Trigonometry

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Related Topics

Sampling and Data

The Normal Distribution

Linear Regression and Correlation

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