Question

answer the questions below.

(a) the 10 members of the swim team completed the following numbers of laps at todays practice:
77, 78, 80, 82, 83, 84, 85, 86, 89, 91.
which measure should be used to summarize the data?
mean
median
mode

(b) in a survey, 9 people reported how many soft drinks they drank in the last month. here are their responses:
29, 30, 33, 35, 36, 37, 38, 39, 88.
which measure should be used to summarize the data?
mean
median
mode

(c) michael has recorded his golf score for each round hes played this year.
which measure gives the score he shot the most often?
mean
median
mode

Explanation:

Analyze part (a)

The data set \(77, 78, 80, 82, 83, 84, 85, 86, 89, 91\) is symmetric and contains no extreme outliers. For symmetric numerical data without outliers, the mean is the most appropriate measure of central tendency to summarize the data.

Analyze part (b)

The data set \(29, 30, 33, 35, 36, 37, 38, 39, 88\) contains a significant outlier, \(88\), which is much larger than the other values. Since the mean is highly sensitive to outliers, the median is the most appropriate measure to summarize skewed data or data with outliers.

Analyze part (c)

The question asks for the score that Michael shot "the most often." By definition, the measure of central tendency that represents the most frequently occurring value in a data set is the mode.

Answer:

Question 1

• Mean (Correct answer)
• Median
• Mode

Question 2

• Mean
• Median (Correct answer)
• Mode

Question 3

• Mean
• Median
• Mode (Correct answer)