Chapter 4, Problem 16P

### Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Chapter
Section

### Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

# For the following sample of n = 8 scores: 0, 1, 1/2, 0, 3, 1/2, 0, and 1: a. Simplify the arithmetic by first multiplying each score by 2 to obtain a new sample of 0, 2, 1, 0, 6, 1, 0, and 2. Then, compute the mean and standard deviation for the new sample. b. Using the values you obtained in part a, what are the values for the mean and standard deviation for the original sample?

(a)

To determine

To Find: The mean and standard deviation for the new sample.

Explanation

Given info:

The original sample scores are 0,1, 12,0, 3,12, 0, 1.

Calculation:

The formula for calculating the mean is,

M=xin

The formula for calculating the standard deviation is,

s=SSn1=Σ(xiM)2n1

New sample scores:

First, multiply each score by 2, the new sample is 0, 2, 1, 0, 6, 1, 0, and 2.

The mean of the new sample is,

M=xin=0+2+1+0+6+1+0+28=1

(b)

To determine

To Find: The mean and standard deviation for original sample.

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