   Chapter 8, Problem 13RE ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Find the mean, variance, and standard deviation of the following sample data: 3, 2, 1, 5, 1, 4, 0, 2, 1, 1.

To determine

To Calculate: The mean, standard deviation and variance of the data 3,2,1,5,1,4,0,2,1,1.

Explanation

Given Information:

The data is, 3,2,1,5,1,4,0,2,1,1.

Formula Used:

The mean of the data is, x¯=xn.

The variance of the data is, s2=(xx¯)2n1.

The standard deviation of the data is, s=s2=(xx¯)2n1.

Where, n is the total number of data and x is a random variable.

Calculation:

Consider the data 3,2,1,5,1,4,0,2,1,1.

The total number of the data is 10.

Therefore, the mean of the score is,

x¯=xn=3+2+1+5+1+4+0+2+1+110=2010=2

Therefore, the variance of the data is,

s2=(xx¯)2n1={(32)2+(22)2+(12)2

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