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Essentials of Statistics for the B...

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

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Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

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

For each of the following populations, would a score of X = 50 be considered a central score (near the middle of the distribution) or an extreme score (far out in the tail of the distribution)?

a.    μ = 45 and σ = 10

b. μ = 45 and σ = 2

c. μ = 90 and σ = 20

d. μ = 60 and σ = 20

a.

To determine

To find: Whether a score of X=50 is considered to be Central score or Extreme score.

Explanation

Given info:

The data represents the mean, standard deviation and x-score for the population. The population mean is μ=45, standard deviation is σ=10 and X score is 50.

Calculation:

The general formula for calculating the z-score is,

z=Xμσ

The z-score for X=50 is,

z

b.

To determine

To check: Whether the score of X=50 is considered to be Central score or Extreme score.

c.

To determine

To check: Whether a score of X=50 is considered to be Central score or Extreme score.

d.

To determine

To check: Whether a score of X=50 is considered to be Central score or Extreme score.

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