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Essentials of Statistics for the B...

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

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Section
BuyFindarrow_forward

Essentials of Statistics for the B...

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

For the following sample of n = 4 scores: 82, 88, 82, and 86:

  1. a. Simplify the arithmetic by first subtracting 80 points from each score to obtain a new sample of 2, 8, 2, and 6. Then, compute the mean and standared deviation for the new sample.
  2. 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 simplified mean and standard deviation for the sample scores subtracting 80 points to each of the sample scores.

Explanation

Given info:

The data represents the original sample scores 82,88,82and86. and 4 is the sample size.

Calculation:

New sample scores:

The sample scores subtracting 80 points to each of the sample scores the new sample is 2, 8, 2 and 6.

The formula of mean for the sample of scores is,

M=xin

The simplified mean for the new sample scores

M=xin=2+8+2+64=184=4.5

Thus, the simplified mean is 4.5

b.

To determine

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

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