AP Stats CP Section 1.3

Which of the following histograms best represents a data set with a normal distribution?

• A histogram with a single peak in the center and symmetrical tails.

• A histogram with two peaks.

• A histogram with a peak on the left and a long tail on the right.

• A histogram with a peak on the right and a long tail on the left.

Which of the following is NOT a component of a boxplot?

• Median

• Quartiles

• Mean

• Whiskers

Identify the outlier in the data set: 5, 7, 8, 6, 100, 9, 10.

• 5

• 7

• 100

• 10

Calculate the range of the data set: 3, 7, 8, 5, 12, 10, 15.

• 8

• 10

• 12

• 15

Which measure of central tendency is most affected by outliers?

• Mean

• Median

• Mode

• Range

In a boxplot, what does the length of the box represent?

• The range of the data

• The interquartile range (IQR)

• The standard deviation

• The mean

Given a histogram with a right-skewed distribution, which of the following is true?

• Mean < Median

• Mean = Median

• Mean > Median

• Mean = Mode

Which of the following data sets has the highest variability?

• 2, 2, 2, 2, 2

• 1, 3, 5, 7, 9

• 4, 4, 4, 4, 4

• 6, 6, 6, 6, 6

If the interquartile range (IQR) of a data set is 10 and the lower quartile (Q1) is 20, what is the upper quartile (Q3)?

• 10

• 20

• 30

• 40

Which of the following statements is true about the standard deviation?

• It measures the central tendency of the data.

• It measures the spread of the data around the mean.

• It is the same as the range.

• It is unaffected by outliers.