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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 population of N = 6 scores: 11 0 2 9 9 5

  1. a. Calculate the range and the standard deviation. (Use either definition for the range.)
  2. b. Add 2 Point to each score and compute the range and standard deviation again. Describe how adding a constant to each score influences measures of variability.

a.

To determine

To find: The range and standard deviation for the population of scores.

Explanation

Given info:

The data represents the population of scores. The scores are 11, 0, 2, 9, 9, and 5.

Calculation:

First case of range:

The general formula for range is,

Range=XmaxXmin

The range for the population of scores is,

From the population of scores it can be observed that the maximum and minimum values of scores are 11 and 0.

Range=XmaxXmin=110=11

Thus, the range for the population of scores is 11.

Second case of range:

The second case for range is used, in case of whole numbers.

The general formula for range of whole numbers is,

Range=XmaxXmin+1

If the scores are whole numbers the range is,

Range=XmaxXmin+1=110+1=12

Thus, the range for the population of scores is 12

(b)

To determine

To find: The range and standard deviation for the population scores adding 2 points to each of the population scores.

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