Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
9th Edition
ISBN: 9781337098120
Author: Frederick J Gravetter, Larry B. Wallnau, Lori-Ann B. Forzano
Publisher: Cengage Learning
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Chapter 4, Problem 22P

The range is completely determined by the two extreme scores in a distribution. The standard deviation, on the other hand, uses every score.

  1. a. Compute the range (choose either definition), the variance, and the standard deviation for the following sample of n = 4 scores. Note that there are two scores located in the center of the distribution and two extreme values. Scores: 0, 6, 6, 12
  2. b. Now we will increase the variability by moving the two central scores out to the extremes. Once again compute the range, the variance, and the standard deviation. New scores: 0, 0, 12, 12
  3. c. According to the range, how do the two distributions compare in variability? How do they compare according to the variance and standard deviation?
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Chapter 4 Solutions

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Ch. 4.4 - Under what circumstances is the computational...Ch. 4.4 - Prob. 3LCCh. 4.5 - A researcher takes a sample from a population and...Ch. 4.5 - A researcher takes all of the possible samples of...Ch. 4.5 - All the possible samples of n = 3 scores are...Ch. 4.6 - If a normal-shaped population with y. 40 and o 5...Ch. 4.6 - If 5 points are added to every score in a...Ch. 4.6 - A research study obtains a mean of 12.7 and a...Ch. 4.6 - For which of the following distributions would X =...Ch. 4 - Briefly explain the goal for defining and...Ch. 4 - What is the range for the following set of scores?...Ch. 4 - In words, explain what is measured by variance and...Ch. 4 - Is it possible to obtain a negative value for...Ch. 4 - Describe the scores in a sample that has a...Ch. 4 - There are two different formulas or methods that...Ch. 4 - Calculate the mean and SS (sum of squared...Ch. 4 - For the following population of N = 9 scores: 4,...Ch. 4 - Calculate SS, variance, and standard deviation for...Ch. 4 - Calculate SS. variance, and standard deviation for...Ch. 4 - Calculate SS. variance, and standard deviation for...Ch. 4 - For the following set of scores; 6, 2, 3, 0, 4 a....Ch. 4 - Explain why the formula for sample variance is...Ch. 4 - For the following sample or n = 6 scores: 0, 11,...Ch. 4 - Calculate SS, variance, and standard deviation for...Ch. 4 - Calculate SS, variance, and standard deviation for...Ch. 4 - A population has a mean of = 50 and a standard...Ch. 4 - Solve the following problems. a. After 6 points...Ch. 4 - Compute the mean and standard deviation for the...Ch. 4 - For the following sample of n = 8 scores: 0, 1,12,...Ch. 4 - For the following population of N = 6 scores: 2,...Ch. 4 - The range is completely determined by the two...Ch. 4 - For the data in the following sample: 1, 1, 9, 1...Ch. 4 - Arden and Plomin (2006) published a study...Ch. 4 - A population has a mean of = 50 and a standard...Ch. 4 - On an exam with a mean of M = 39, you obtain a...
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