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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

A sample has a mean of M = 30 and a standard deviation of s = 8.

  1. a. Would a score of X = 36 be considered a central score or an extreme soon the sample?
  2. b. If the standard deviation were s = 2, would X = 36 be central or extreme

(a)

To determine

To Find: Would a score of X=36 is considered to be Central score or Extreme score in a sample.

Explanation

Given info:

The sample has the mean of M=30 and standard deviation of s=8.

The X score is, 36.

Calculation:

The z-score 0 indicates that the score is close to population mean and it is known as central score. The z-score beyond –2.00 and +2.00 indicates that the score is extreme score.

The z-score for X=36 can be obtained as follows:

The formula for calculating the z-score is,

z=XMs

Substitute M=30, s=8

(b)

To determine

To check: Whether the score of X=36 is considered to be Central score or Extreme score.

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