The Essentials of Statistics: A Tool for Social Research

4th Edition

ISBN: 9781305802698

Author: Joseph F. Healey

Publisher: Cengage Learning US

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Textbook Question

Chapter 3, Problem 3.12P

SW Compute the median and mean for both the pretest and posttest for the test scores first presented in problem 2.6 and reproduced here. Interpret these statistics.

Case	Pretest	Posttest
A	8	12
B	7	13
C	10	12
D	15	19
E	10	8
F	10	17
G	3	12
H	10	11
I	5	7
J	15	12
K	13	20
L	4	5
M	10	15
N	8	11
O	12	20

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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Chapter 3 Solutions

The Essentials of Statistics: A Tool for Social Research

Ch. 3 - SOCA variety of information has been gathered from...Ch. 3 - A variety of information has been collected for...Ch. 3 - You have been observing the local Democratic Party...Ch. 3 - The following table presents the annual...Ch. 3 - SOC Data have been gathered on four variables for...Ch. 3 - SOC The following tables list the median family...Ch. 3 - Find the appropriate measure of central tendency...Ch. 3 - SOC The accompanying table gives scores on four...Ch. 3 - SOC The college administration is considering a...Ch. 3 - SOC As the head of a social services agency, you...

Ch. 3 - SOC The following table lists the approximate...Ch. 3 - SW Compute the median and mean for both the...Ch. 3 - SOC A sample of 25 freshmen at a major university...Ch. 3 - You have compiled the following information on...Ch. 3 - Professional athletes are threatening to strike...

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SW Compute the median and mean for both the pretest and posttest for the test scores first presented in problem 2.6 and reproduced here. Interpret these statistics. Case Pretest Posttest A 8 12 B 7 13 C 10 12 D 15 19 E 10 8 F 10 17 G 3 12 H 10 11 I 5 7 J 15 12 K 13 20 L 4 5 M 10 15 N 8 11 O 12 20

Solution Summary: The author calculates the mean and median of pretest and posttest scores. The median for odd terms is given by stackrel.

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