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StatisticsEssentials Of StatisticsSOC 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 9BuyFind*arrow_forward*

4th Edition

HEALEY + 1 other

Publisher: Cengage Learning,

ISBN: 9781305093836

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.

**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,

The mean is given by,

Substitute 15 for

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

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