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Chapter 3: Q. 3.201 (page 147)

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

(a) Population mean

(b) Population standard deviation

Data is4,0,5

Short Answer

Expert verified

(a) Population Mean(μ)=3

(b) Population Standard deviation(σ)=2.16

Step by step solution

01

Part(a) Step 1: Given information 

We are given simple data set of 4,0,5

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)=∑xi/N

xidenotes individual value

N denotes total population

=4+0+53=3

Hence, mean of given data is 3.

03

Part (b) Step 1:Given Information

We are provided simple data having 4,0,5

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 μdenotes population mean

xidenotes ithvalue

Ndenotes total number of population

σ=(4-3)2+(0-3)2+(5-3)23=4.667=2.16

Hence, population standard deviation of given data is2.16.

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