Practice Stem-and-Leaf Plot in Statistics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

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Quick Recap

A stem-and-leaf plot displays numerical data by splitting each value into a stem and a leaf. It shows the distribution of the data while keeping the original values visible.

A stem-and-leaf plot is like a sorted list and a graph at the same time. You can see clusters, gaps, and repeated values without losing the exact numbers.

Showing a random 20 of 50 problems.

Example 1

challenge
A stem-and-leaf plot of 8 values has IQR 20. The values are 2|2 5; 3|0 8; 4|1 7; 5|3 6 (key 2|2 = 22). Verify the IQR.

Example 2

hard
In the plot 2 ∣ 3 82\,|\,3\ 8; 3 ∣ 1 5 93\,|\,1\ 5\ 9; 4 ∣ 2 6 7 74\,|\,2\ 6\ 7\ 7; 5 ∣ 05\,|\,0 (key 2∣3=232|3 = 23), what percent of values are at least 4040?

Example 3

medium
Plot: 1 ∣ 11\,|\,1; 2 ∣ 4 72\,|\,4\ 7; 3 ∣ 2 5 5 83\,|\,2\ 5\ 5\ 8; 4 ∣ 1 64\,|\,1\ 6 (key 1∣1=111|1 = 11). What is the mode?

Example 4

medium
Plot: 1 ∣ 0 51\,|\,0\ 5; 2 ∣ 2 4 92\,|\,2\ 4\ 9; 3 ∣ 1 83\,|\,1\ 8 (key 1∣0=101|0 = 10). What is the range?

Example 5

hard
Plot: 0 ∣ 50\,|\,5; 1 ∣ 0 3 91\,|\,0\ 3\ 9; 2 ∣ 22\,|\,2 (key 0∣5=0.50|5 = 0.5, decimals). What is the mean?

Example 6

easy
Is a stem-and-leaf plot best for (A) two-digit test scores of 20 students, or (B) the favorite colors of a class?

Example 7

hard
A back-to-back stem-and-leaf for two classes shows that Class A leaves are mostly on stem 77–88 while Class B's are spread across stems 55–99. What does this say about the two distributions?

Example 8

medium
Plot: 2 ∣ 1 3 62\,|\,1\ 3\ 6; 3 ∣ 2 53\,|\,2\ 5; 4 ∣ 0 74\,|\,0\ 7 (key 2∣1=212|1 = 21). What is the mode?

Example 9

hard
Plot: 4 ∣ 1 34\,|\,1\ 3; 5 ∣ 0 5 8 85\,|\,0\ 5\ 8\ 8; 6 ∣ 2 76\,|\,2\ 7; 7 ∣ 17\,|\,1 (key 4∣1=414|1 = 41). Find Q1Q_1 and Q3Q_3.

Example 10

medium
Plot: 1 ∣ 2 4 4 81\,|\,2\ 4\ 4\ 8; 2 ∣ 1 3 72\,|\,1\ 3\ 7; 3 ∣ 0 53\,|\,0\ 5 (key 1∣2=121|2 = 12). Find the mean.

Example 11

medium
A stem-and-leaf plot has 12 values. Stems 1,2,3 hold 5, 4, 3 leaves. The 7th value when ordered is 24. Which stem contains the median position values for an even count, and what is needed to find the median?

Example 12

medium
A stem-and-leaf plot: 4|1 1 6; 5|2 9; 6|0 (key 4|1 = 41). What is the mean of all values?

Example 13

easy
A stem-and-leaf plot has stem 4 with leaves 2 2 2 5 (key 4|2 = 42). Which value appears most often in this row?

Example 14

medium
A stem-and-leaf plot: 2|3 7; 3|1 1 4 8; 4|2 (key 2|3 = 23). What is the mode?

Example 15

medium
In a stem-and-leaf plot, what does an unusually long row indicate about the data?

Example 16

easy
True or false: a stem-and-leaf plot preserves every original data value.

Example 17

medium
A back-to-back stem-and-leaf plot compares two groups. Group A leaves are read right-to-left from the stem, group B left-to-right. Why is this layout useful?

Example 18

easy
What is the largest value in this plot? 4 ∣ 2 64\,|\,2\ 6; 5 ∣ 1 3 85\,|\,1\ 3\ 8; 6 ∣ 06\,|\,0 (key 4∣2=424|2 = 42).

Example 19

easy
A stem-and-leaf plot's smallest value is in stem 2 with leaf 1 (key 2|1 = 21) and largest in stem 6 with leaf 5. What is the range?

Example 20

easy
A stem-and-leaf plot keeps original values visible. Stem 7 has leaves 0 4 (key 7|0 = 70). What are the exact values?
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