close solutoin list

SOC Data have been gathered on four variables for 15 respondents (see the following table). Find and report the appropriate measure of central tendency for each variable. (On the “Attitude on Abortion” scale, a high score indicates strong oppostiton.) Respondent Marital Status Racial/Ethnic Group Age Attitude on Abortion A Single White 18 10 B Single Hispanic 20 9 C Widowed White 21 8 D Married White 30 10 E Married Hispanic 25 7 F Married White 26 7 G Divorced Black 19 9 H Widowed White 29 6 I Divorced White 31 10 J Married Black 55 5 K Widowed Asian American 32 4 L Married Native American 28 3 M Divorced White 23 2 N Married White 24 1 O Divorced Black 32 9

BuyFind

Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836
BuyFind

Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

Solutions

Chapter
Section
Chapter 3, Problem 3.5P
Textbook Problem
175 views

SOC Data have been gathered on four variables for 15 respondents (see the following table). Find and report the appropriate measure of central tendency for each variable. (On the “Attitude on Abortion” scale, a high score indicates strong oppostiton.)

Respondent Marital Status Racial/Ethnic Group Age Attitude on Abortion
A Single White 18 10
B Single Hispanic 20 9
C Widowed White 21 8
D Married White 30 10
E Married Hispanic 25 7
F Married White 26 7
G Divorced Black 19 9
H Widowed White 29 6
I Divorced White 31 10
J Married Black 55 5
K Widowed Asian American 32 4
L Married Native American 28 3
M Divorced White 23 2
N Married White 24 1
O Divorced Black 32 9

Expert Solution
To determine

To find:

The most appropriate measures of central tendency for each variable.

Explanation of Solution

Description:

When the variables measured have non-numerical scores or categories, they are said to have a nominal level of measurement.

When the variables measured have non-numerical scores or categories that could be ranked from high to low, they are said to have an ordinal level of measurement.

When the variables measured have numerical scores and can be used for further statistical analysis, they are said to have an interval ratio level of measurement.

From the given information, there are four variables Marital Status, Racial/Ethnic Group, Age, and Attitude on Abortion. Here, the variable Age has a numeric value; therefore, the level of measurement of this variable is interval-ratio. The variables Marital Status and Racial/Ethnic Group can be classified into categories; therefore, the level of measurement of these variables is Nominal. Further, the variable Attitude on Abortion can be classified into categories and can be ranked; therefore, the level of measurement is Ordinal.

Choosing a Measures of Central Tendency:

When the data is Nominal type — Mode

When the data is Ordinal type — Median

When the data is Interval ratio type — Mean

For the variable Age, the measure of central tendency is Mean.

Formula Used:

The formula to calculate mean is given by,

X¯=i=1NXiN

The mean is given by,

X¯=i=1NXiN

Substitute 15 for N, 18 for X1, 20 for X2 and so on in the above mentioned formula,

X¯=18+20+...+24+3215=41315=27.53

For the variable Racial/Ethnic Group, the measure of central tendency is Mode

Want to see this answer and more?

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

See solution

Additional Math Textbook Solutions

Find more solutions based on key concepts
Show solutions
Solve the equations in Exercises 126. 10x(x2+1)4(x3+1)510x2(x2+1)5(x3+1)4=0

Finite Mathematics and Applied Calculus (MindTap Course List)

Factoring Completely Factor the expression completely. 101. 2x2 + 5x + 3

Precalculus: Mathematics for Calculus (Standalone Book)

Find the limit or show that it does not exist. limxx+3x24x1

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 1-6, match the statement with one of the graphs (a)(f). 4. The slope of the line is positive, and ...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Construct an angle that measures 75.

Elementary Geometry For College Students, 7e

The graph of x = 2 + 3t, y = 4 − t is a: circle ellipse line parabola

Study Guide for Stewart's Multivariable Calculus, 8th

For f(x) = x3 + 7x, df = _____. a) (x3 + 7x) dx b) (3x2 + 7) dx c) 3x2 + 7 d) x3 + 7x + dx

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Explain how the enforcement of confidentiality benefits both the participants and the researcher.

Research Methods for the Behavioral Sciences (MindTap Course List)

Describe the relationship between the alpha level and the likelihood of making a Type I error.

Research Methods for the Behavioral Sciences (MindTap Course List)

Reminder Round all answers to two decimal places unless otherwise indicated. Solving an Equation of ChangeSolve...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

10. With a smoothing constant of α = .2, equation (17.2) shows that the forecast for week 13 of the gasoline sa...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

In Problems 1116 use an appropriate series in (2) to find the Maclaurin series of the given function. Write you...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)