Question 1

Which of the following best describes the three main features to consider when summarizing a numerical distribution?

Accepted Answer

Shape, center, and spread

Question 2

A histogram of household incomes in the USA is most likely to have which shape?

Accepted Answer

Skewed right

Question 3

Which of the following is NOT a recommended way to describe the center of a numerical distribution based on a histogram?

Accepted Answer

Mode

Question 4

A distribution with one main mound is called:

Accepted Answer

Unimodal

Question 5

If a histogram has a long tail to the left, how would you describe its shape?

Accepted Answer

Skewed left

Question 6

Which of the following is a possible reason for the presence of an outlier in a data set?

Accepted Answer

All of the above

Question 7

A histogram of SAT scores for a large group of students is most likely to be:

Accepted Answer

Symmetric and unimodal

Question 8

Which of the following best describes a distribution with two main mounds?

Accepted Answer

Bimodal

Question 9

If all data values in a histogram are very similar, what can you say about the spread?

Accepted Answer

The spread is narrow

Question 10

A histogram of the last digit of Social Security numbers for a random sample of students is most likely to be:

Accepted Answer

Symmetric and uniform

Question 11

Which of the following is the best definition of an outlier?

Accepted Answer

A value so large or small that it does not fit the pattern of the distribution

Question 12

A histogram of the number of goals scored by Division III first-year women soccer players is shown to have a typical value of 16. What does this typical value represent?

Accepted Answer

The center of the distribution

Question 13

Which of the following statements about modes is TRUE for numerical data?

Accepted Answer

The mode can change radically with minor changes in the data

Question 14

A distribution is described as symmetric, unimodal, and bell-shaped. Which of the following is most likely true?

Accepted Answer

The mean and median are approximately equal

Question 15

Which of the following is NOT a characteristic used to describe the shape of a distribution?

Accepted Answer

The typical value

Question 16

A histogram of grades on a difficult exam shows a long tail to the left. Which of the following best describes the distribution?

Accepted Answer

Skewed left

Question 17

If a histogram shows two main peaks, what might this suggest about the data?

Accepted Answer

There may be two different groups within the data

Question 18

Which of the following is the best way to describe the spread of a distribution?

Accepted Answer

By looking at the horizontal spread in the histogram or dotplot

Question 19

A histogram of the weights of a group of animals shows one bar far away from the rest of the data. What should you do?

Accepted Answer

Report the value and consider if it is a source of error or a genuine outlier

Question 20

Which of the following is a correct summary statement for describing a numerical distribution?

Accepted Answer

Always describe the shape, center, and variability

Summarizing Numerical Distributions: Shape, Center, and Spread

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