Analyzing Data Distributions Quiz

A stemplot is given with stems 1, 2, and 3, and leaves 2, 5, 7 for stem 1; leaves 0, 3, 8 for stem 2; and leaves 1, 4 for stem 3. What is the median value of the data represented by this stemplot?

• 21

• 23

• 25

• 27

Which feature of a boxplot indicates the interquartile range (IQR)?

• The length of the whiskers

• The distance between the minimum and maximum values

• The length of the box

• The position of the median line

In a boxplot, if the median is closer to the lower quartile than the upper quartile, what can be inferred about the distribution?

• The distribution is symmetric

• The distribution is skewed to the right

• The distribution is skewed to the left

• The distribution is uniform

Given a boxplot with a lower quartile of 10, an upper quartile of 20, and a median of 15, what is the interquartile range (IQR)?

• 5

• 10

• 15

• 20

Which of the following values is considered an outlier in a dataset with a lower quartile of 15, an upper quartile of 25, and an IQR of 10?

• 5

• 10

• 30

• 35

A stemplot is constructed with the following data: 12, 15, 17, 20, 23, 25, 28. What is the stem for the number 23?

• 1

• 2

• 3

• 4

In a boxplot, which part represents the median of the dataset?

• The left whisker

• The right whisker

• The line inside the box

• The entire box

How can you identify an outlier using a boxplot?

• It is a value within the box

• It is a value outside the whiskers

• It is the median value

• It is the maximum value

Which of the following statements is true about a symmetric boxplot?

• The median is closer to the lower quartile

• The median is closer to the upper quartile

• The median is equidistant from both quartiles

• The whiskers are of unequal length

A dataset has the following values: 5, 7, 8, 12, 15, 18, 22. Construct a stemplot. What is the leaf for the stem 1?

• 2

• 5

• 8

• 0