Question 1

Which of the following best describes the purpose of a stem-and-leaf diagram in statistics?

Accepted Answer

To organize quantitative data by separating each value into a stem and a leaf, allowing for visualization of the data's distribution.

Question 2

Given the data set: 18, 10, 37, 36, 61, which of the following is the correct stem-and-leaf representation for these values?

Accepted Answer

$$1 \vert 0, 8$$ 
$$3 \vert 6, 7$$ 
$$6 \vert 1$$

Question 3

When constructing a stem-and-leaf diagram, what is the correct order of steps?

Accepted Answer

Sort the data, write the stems vertically, write each leaf to the right of its stem, arrange leaves in ascending order.

Question 4

Suppose you have the following data: 39, 41, 49, 50, 52. What is the correct stem-and-leaf diagram for these values?

Accepted Answer

$$3 \vert 9$$ 
$$4 \vert 1, 9$$ 
$$5 \vert 0, 2$$

Question 5

What is a key advantage of using a stem-and-leaf diagram over a histogram for small data sets?

Accepted Answer

It preserves the original data values while showing the distribution.

Question 6

Given the data: 57, 53, 51, 57, 39, what is the correct stem-and-leaf diagram?

Accepted Answer

$$3 \vert 9$$ 
$$5 \vert 1, 3, 7, 7$$

Question 7

If a stem-and-leaf diagram for a data set has the following row: $$6 \vert 0, 1$$, what does this represent?

Accepted Answer

The data values 60 and 61.

Question 8

A researcher wants to display the growth (in centimeters) of seedlings over 30 days using a stem-and-leaf diagram. What type of data is most appropriate for this diagram?

Accepted Answer

Quantitative data

Question 9

Which of the following is NOT a correct step in constructing a stem-and-leaf diagram?

Accepted Answer

Write each leaf to the left of the vertical rule.

Question 10

Given the data: 33, 36, 19, what is the correct stem-and-leaf diagram?

Accepted Answer

$$1 \vert 9$$ 
$$3 \vert 3, 6$$

Question 11

If a stem-and-leaf diagram has the following stems: 3, 4, 5, 6, what is the range of the data values represented?

Accepted Answer

$$30 to$$ $$69$$

Question 12

Why is it important to arrange the leaves in ascending order in a stem-and-leaf diagram?

Accepted Answer

It makes it easier to identify the mode and observe the distribution.

Question 13

A stem-and-leaf diagram for the data set: 48, 56, 33, 36, 19 would have which of the following stems?

Accepted Answer

$$1, 3, 4, 5$$

Question 14

If a stem-and-leaf diagram for a data set shows the following: $$5 \vert 1, 3, 7, 7$$, what is the median of these values?

Accepted Answer

Question 15

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

Accepted Answer

They are best used for categorical data.

Question 16

A stem-and-leaf diagram is constructed for the following data: 51, 38, 60. Which of the following is the correct representation?

Accepted Answer

$$3 \vert 8$$ 
$$5 \vert 1$$ 
$$6 \vert 0$$

Question 17

Which of the following is a common error when constructing a stem-and-leaf diagram?

Accepted Answer

Placing leaves in descending order.

Question 18

In a real-world scenario, a financial analyst uses a stem-and-leaf diagram to display the time to maturity (in days) for 40 short-term investments. What insight can the analyst gain from this diagram?

Accepted Answer

The distribution and clustering of maturity times, as well as any outliers.

Organizing Quantitative Data: Stem-and-Leaf Diagrams

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