Question

answer the questions below.

(a) a reporter has recorded the rating (g, pg, pg-13, or r) of each movie played in a theater over the past year.
which measure gives the most common rating?
mean
median
mode

(b) at a certain company, the 9 employees have the following weekly salaries:
\\$830, \\$860, \\$870, \\$880, \\$890, \\$900, \\$910, \\$920, \\$940.
which measure should be used to summarize the data?
mean
median
mode

(c) the last 9 calls to a customer support line had the following lengths (in minutes):
22, 25, 26, 27, 28, 29, 30, 31, 62.
which measure should be used to summarize the data?
mean
median
mode

Explanation:

Analyze part (a)

The data consists of qualitative (nominal) categories: G, PG, PG-13, R.
The only measure of center applicable to qualitative data to find the most common category is the mode.

Analyze part (b)

The weekly salaries are: \$830, \$860, \$870, \$880, \$890, \$900, \$910, \$920, \$940.
The data is quantitative, symmetric, and contains no extreme outliers.
The mean is the most appropriate measure to summarize symmetric data without outliers.

Analyze part (c)

The call lengths are: 22, 25, 26, 27, 28, 29, 30, 31, 62.
The value 62 is an outlier compared to the rest of the data.
The median is the best measure of center when a data set contains outliers, as it is not affected by extreme values.

Answer:

Question 1

• (A) Mean
• (B) Median
• (C) Mode (Correct answer)

Question 2

• (A) Mean (Correct answer)
• (B) Median
• (C) Mode

Question 3

• (A) Mean
• (B) Median (Correct answer)
• (C) Mode