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Chapter 3: Q 3.35 (page 103)

a) Determine the mode of the data.
b) Decide whether it would be appropriate to use either the mean or median as a measure of center. Explain your answer.

NCAA Wrestling Champ. From NCAA. com the official Web site for NCAA sports we obtained the National Collegiate Athletic Association wrestling champions for the years 1989-2013in the document "Championship History". They are displayed in the following table.

Short Answer

Expert verified

a) Champion lowa.

b) The mode would be appropriate to use for given data.

Reason: The data set below is based on NCAA Wrestling Champion institutions by year, which is not numerical. That is, the data set is made up of qualitative information. As a result, the mean and median for non-numerical data cannot be calculated. As a result, the mean and median would be inappropriate for the data. In addition, the approach would be excellent for qualitative data.

Step by step solution

01

Step 1. Given information.

We have given data for Championship History" from year1989-2013.

02

Step 2. To find mode. 

The greatest frequency is the mode of the data set.

The mode of the data is Champion Iowa.

03

Step 3. Decide either the mean or median as a measure of center.  

For the given data the mode would be appropriate to use for given data.

Reason: The data collection is based on NCAA Wrestling Champion institutions with a year that is not numerical. That is to say, the data set is made up entirely of qualitative information. As a result, for non-numerical data, the mean and median cannot be calculated. As a result, for the supplied data, the mean and median would be inappropriate. In addition, for qualitative data, the approach would be acceptable.

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