# EBook Problems EDA Center

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## EBook Problems Set - Measures of Central Tendency Problems

### Problem 1

Suppose that in a certain country, the average yearly income for 75% of the population is below average, what would you use as the measure of center and spread?

• Choose one answer.
(a) Mean and interquartile range
(b) Mean and standard deviation
(c) Median and interquartile range
(d) Mean and standard deviation

### Problem 2

According to a story in the Guardian newspaper in the U.K., the mean wage for a Premiership player in 2001-2002 in the U.K. was 600,000 pounds. Which of the following is most likely true?

• Choose one answer.
(a) About as many Premiership players make more than 600,000 pounds as make less.
(b) Most Premiership players make close to 600,000 pounds.
(c) Most Premiership players make less than 600,000 pounds.
(d) Most Premiership players make more than 600,000 pounds.

### Problem 3

Statisticians often use the term "robust" when referring to a statistical measure or test. Which of the following is an example of a robust measure of center?

• Choose one answer.
(a) Median, because it is resistant to outliers
(b) Mean, because it is the most commonly used measure of center
(c) Mode, because it can be used with observational or quantitative data

### Problem 4

Five students were asked how many credits they are taking this semester. They answered 18 credits, 15 credits, 17 credits, 12 credits, and 16 credits. What is the median number of credits taken?

• Choose one answer.
(a) 16
(b) 17
(c) 12
(d) 15

### Problem 5

Seven students each studied different amounts for an exam. In hours, their study times were 3 hours, 5 hours, 11 hours, 6 hours, 4 hours, 2 hours, and 4 hours. What is the median number of study hours?

• Choose one answer.
(a) 4.5
(b) 6
(c) 11
(d) 5
(e) 4

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