Q: A distribution is right-skewed (positively skewed). Which of the following is most likely true?

$$\text{Mean} \u003e \text{Median}$$

Question 1

Given the following pulse rates (beats per minute) for nine students: 76, 60, 60, 81, 72, 80, 80, 68, 73. What is the population mean pulse rate?

$$	ext{Mean} = \frac{\sum x_i}{N}$$

Accepted Answer

$$	ext{Mean} = 72.2$$

Question 2

For the same pulse rate data set: 76, 60, 60, 81, 72, 80, 80, 68, 73. What is the median pulse rate?

Accepted Answer

$$	ext{Median} = 73$$

Question 3

A data set contains the following exam scores: 82, 77, 90, 71, 62, 68, 74, 84, 94, 88. What is the mode of this data set?

Accepted Answer

There is no mode

Question 4

Consider the following data set: 32, 35, 35, 36, 37, 37, 38, 38, 39, 39, 39, 39, 40, 40, 40, 41, 41, 42, 42, 43, 44, 44, 46, 51. What is the mode?

Accepted Answer

39

Question 5

A survey of 30 voters records their political views as Liberal, Conservative, or Moderate. Which measure of central tendency is most appropriate to summarize this data?

Accepted Answer

Mode

Question 6

Which of the following statements about the mean is TRUE?

Accepted Answer

The mean is not resistant to outliers.

Question 7

A distribution is right-skewed (positively skewed). Which of the following is most likely true?

Accepted Answer

$$	ext{Mean} \u003e 	ext{Median}$$

Question 8

In the NFL, three players earn more than $$20 million, while most earn much less. The mean salary is 1.87$ million and the median is 838$$,000$. Which measure would NFL owners likely use in salary negotiations and why?

Accepted Answer

The mean, because it is higher and makes salaries appear larger.

Question 9

A data set is symmetric. Which measure of central tendency should you use to describe the center?

Accepted Answer

Mean

Question 10

A histogram of Disney wait times is right-skewed. Which measure of central tendency best describes the typical wait time?

Accepted Answer

Median

Question 11

Which of the following is a disadvantage of using the mean as a measure of central tendency?

Accepted Answer

It is greatly affected by outliers.

Question 12

Given the wait times: 6, 31, 8, 20, 21, 16, 7, 7, 15, 4, 6, 14, 27, 27, 3, 5, 24, 10, 9, 12, 8, 4, 8, 39, 5, 28, 30, 15. If the mean is much greater than the median, what does this indicate about the distribution?

Accepted Answer

The distribution is right-skewed.

Question 13

Which measure of central tendency can be used for nominal (categorical) data?

Accepted Answer

Mode

Question 14

A data set has the following values: 10, 12, 14, 16, 18. If a new value, 100, is added, which measure of central tendency will be most affected?

Accepted Answer

Mean

Question 15

Which of the following best describes the median?

Accepted Answer

The value that divides an ordered data set into two equal parts.

Question 16

If a data set has two values that occur with the same highest frequency, what is the mode called?

Accepted Answer

Bimodal

Question 17

Which of the following is the formula for the sample mean?

Accepted Answer

$$\bar{x} = \frac{\sum x_i}{n}$$

Question 18

A data set is left-skewed. Which measure of central tendency is most appropriate to use?

Accepted Answer

Median

Numerically Summarizing Data: Measures of Central Tendency

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