# 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

### Essentials Of Statistics

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

### Essentials Of Statistics

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

#### Solutions

Chapter
Section
Chapter 3, Problem 3.5P
Textbook Problem
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## 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

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