Question

answer the questions below. (a) the 9 members of the swim team completed the following numbers of laps at todays practice: 77, 78, 80, 82, 83, 86, 87, 88, 150. which measure should be used to summarize the data? mean median mode (b) in prof. browns class, the 9 students had the following scores on the last mid - term: 125, 128, 129, 132, 134, 135, 137, 138, 141. which measure should be used to summarize the data? mean median mode (c) on a test, each student is given a grade of a, b, c, d, or f. which measure tells the grade given most often? mean median mode

Explanation:

Step1: Analyze data in (a)

The data set 77, 78, 80, 82, 83, 86, 87, 88, 150 has an out - lier (150). Mean is affected by outliers, mode doesn't exist as no value repeats, so median is a better measure.

Step2: Analyze data in (b)

The data set 125, 128, 129, 132, 134, 135, 137, 138, 141 is a symmetric data set without outliers. Mean, median and mode are all valid, but mean is commonly used for symmetric data.

Step3: Analyze data in (c)

The data (grades A, B, C, D, F) is categorical. Mean and median are not applicable for categorical data, mode is used to find the most frequent category.

Answer:

(a) Median
(b) Mean
(c) Mode