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StatisticsEssentials Of StatisticsSOC The college administration is considering a total ban on student automobiles. You have conducted a poll on this issue of 20 fellow students and 20 of the neighbors who live around the campus and have calculated scores for your respondents. One the scale you used, a high score indicates strong opposition to the proposed ban. The scores are presented here for both groups. Calculate an appropriate measure of central tendency. Students Neighbors 10 11 0 7 10 9 1 6 10 8 0 0 10 11 1 3 9 8 7 4 10 11 11 0 9 7 0 0 5 1 1 10 5 2 10 9 0 10 10 0BuyFind*arrow_forward*

4th Edition

HEALEY + 1 other

Publisher: Cengage Learning,

ISBN: 9781305093836

Chapter 3, Problem 3.9P

Textbook Problem

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** SOC** The college administration is considering a total ban on student automobiles. You have conducted a poll on this issue of 20 fellow students and 20 of the neighbors who live around the campus and have calculated scores for your respondents. One the scale you used, a high score indicates strong opposition to the proposed ban. The scores are presented here for both groups. Calculate an appropriate measure of central tendency.

Students | Neighbors | ||

10 | 11 | 0 | 7 |

10 | 9 | 1 | 6 |

10 | 8 | 0 | 0 |

10 | 11 | 1 | 3 |

9 | 8 | 7 | 4 |

10 | 11 | 11 | 0 |

9 | 7 | 0 | 0 |

5 | 1 | 1 | 10 |

5 | 2 | 10 | 9 |

0 | 10 | 10 | 0 |

Expert Solution

To determine

**To find:**

The most appropriate measures of central tendency and compare the two groups in a sentence or two.

**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, the variables **Students** and **Neighbors** 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,**Students and Neighbors, the measure of central tendency is: Median.**

**Median of Students:**

Arrange the data from high to low.

The ordered data is:

11 | 11 | 11 | 10 | 10 | 10 | 10 | 10 | 10 | 9 |

9 | 9 | 9 | 8 | 8 | 7 | 5 | 5 | 1 | 0 |

The number of terms is 20, which is even.

The median for the even number of terms is average of the middle two terms.

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