Question 1

Which of the following best describes a stem-and-leaf plot?

Accepted Answer

A graphical method that displays both the overall shape and specific values in a dataset.

Question 2

Given the stem-and-leaf plot below, which data value is NOT represented?

Stem | Leaf
6    | 7 8 8 9
7    | 2 3 5 5 7 9
8    | 2 2 4 5 6 8
9    | 0 3 5 5 6 8 9

Which of the following values is missing from the plot?

Accepted Answer

$$74$$

Question 3

What is the main advantage of using a stem-and-leaf plot over a histogram when analyzing a small dataset?

Accepted Answer

It preserves the original data values while showing the distribution.

Question 4

A stem-and-leaf plot is constructed for the following weekly study times (in minutes): $$20, 25, 32, 35, 41, 47, 55, 62, 68, 75, 83, 90, 105. $$What is the correct stem for the value $$105$$?

Accepted Answer

$$10$$

Question 5

If a stem-and-leaf plot has the following row: $$7 \,|\, 2\, 3\, 5\, 5\, 7\, 9$$, what is the median value for this row?

Accepted Answer

$$75$$

Question 6

In a stem-and-leaf plot, what does each 'leaf' represent?

Accepted Answer

A single data value within a given interval.

Question 7

Suppose you have the following stem-and-leaf plot for test scores:

Class A: $$6 \,|\, 7\, 8\, 8\, 9$$
Class B: $$6 \,|\, 3\, 4\, 4\, 5\, 9$$

Which class has the higher maximum score?

Accepted Answer

Class A

Question 8

A stem-and-leaf plot is constructed for the dataset $$70, 72, 75, 78, 81, 84, 85, 88, 90. $$How many students scored between $$70$$ and $$79$$?

Accepted Answer

$$4$$

Question 9

When constructing a stem-and-leaf plot, which of the following steps is performed FIRST?

Accepted Answer

Write the data in increasing order.

Question 10

Given the stem-and-leaf plot below, what is the range of the dataset?

Stem | Leaf
6    | 7 8 8 9
7    | 2 3 5 5 7 9
8    | 2 2 4 5 6 8
9    | 0 3 5 5 6 8 9

Calculate the range.

Accepted Answer

$$99 - 67 = 32$$

Question 11

A stem-and-leaf plot for exam scores shows the following:

Stem | Leaf
8    | 2 4 5 6 8
9    | 0 3 5 5 6 8 9

If a student scored $$95$$, what is the stem and leaf for this score?

Accepted Answer

Stem: $$9$$, Leaf: $$5$$

Question 12

Which of the following is a correct interpretation of a stem-and-leaf plot with a long tail on the right side?

Accepted Answer

The data is positively skewed.

Question 13

If you want to compare the distributions of test scores between two classes using stem-and-leaf plots, which feature should you focus on?

Accepted Answer

The spread and clustering of leaves in each stem.

Question 14

A stem-and-leaf plot for weekly study times is given as:

Stem | Leaf
2    | 0 5
3    | 2 5
4    | 1 7
5    | 5
6    | 2 8
7    | 5
8    | 3
9    | 0
10   | 5

What is the mean study time? (Round to the nearest whole number.)

Accepted Answer

$$55$$

Question 15

Which of the following statements about stem-and-leaf plots is FALSE?

Accepted Answer

They can be used to display both small and large datasets equally well.

Question 16

A stem-and-leaf plot is constructed for the dataset $$32, 35, 41, 47, 55, 62, 68, 75, 83, 90, 105. $$What is the mode of the dataset?

Accepted Answer

There is no mode.

Question 17

If a stem-and-leaf plot for test scores has the following stems: $$6, 7, 8, 9$$, and the leaves for stem $$8$$ are $$2, 2, 4, 5, 6, 8$$, what is the frequency of scores in the $$80$$'s?

Accepted Answer

$$6$$

Question 18

Which of the following is a key step when labeling a stem-and-leaf plot?

Accepted Answer

Include a key that explains how to read the stems and leaves.

Question 19

A stem-and-leaf plot for exam scores is given as:

Stem | Leaf
7    | 2 3 5 5 7 9
8    | 2 2 4 5 6 8

What is the interquartile range (IQR) of the dataset?

Accepted Answer

$$85 - 73 = 12$$

Question 20

If a stem-and-leaf plot shows a cluster of leaves in the lower stems and fewer leaves in the higher stems, what does this indicate about the distribution?

Accepted Answer

The data is negatively skewed.

Stem-and-Leaf Plots: Displaying Quantitative Data

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