   Chapter 8, Problem 12RE ### 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: 4, 3, 4, 6, 8, 0, 2.

To determine

To calculate: The mean, standard deviation and variance of the data 4,3,4,6,8,0,2.

Explanation

Given Information:

The given data is 4,3,4,6,8,0,2.

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

Calculation:

Consider the data 4,3,4,6,8,0,2.

Then the mean of the score is x¯=xn.

x=4+3+4+6+8+0+2=27

Thus, the mean is,

x¯=xn=277=3.86

Now the variance of the data is s2=(xx¯)2n1

(xx¯)2=((43.86)2+(33.86)2+(43.86)2+(63

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