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Chapter 3: Q. 3.202 (page 147)

We have provided simple data sets for you to practice the basics of finding

(a) Population mean

(b) Population standard deviation

Data is3,5,7

Short Answer

Expert verified

(a) Population Mean(μ)=5

(b) Population Standard deviation(σ)= 1.663

Step by step solution

01

Part(a) Step 1: Given information 

We are given simple data set of3,5,7

We need to find population mean of given data

02

Part(a) Step 2: Simplify 

A population in statistics is a group of similar items or events that relate to a query or experiment.

Population Mean(μ)=∑xiN

xidenotes individual value

Ndenotes total population

μ=3+5+73

Hence, mean of given data is 5.

03

Part (b) Step 1:Given Information

We are provided simple data having3,5,7

We need to find standard deviation of given population.

04

Part(b) Step 2:Simplify

We know standard deviation is square root of variance.

Variance(σ2)=(x1-μ)2+.........+(xN-μ)2N

Where xidenotes ithvalue

μ denotes population mean

Ndenotes total population

Using above formula,

σ=(5-3)2+(5-5)2+(5-7)23=2.667=1.663

Hence, population standard deviation of given sample data is 1.663

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