Box Plot (Box and Whisker Plot) Worksheets - Free Printable

Let’s solve each problem step by step. We’ll find the 5-number summary (Min, Q1, Median, Q3, Max) for each data set.

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Problem ①: Data = {1, 7, 18, 14, 19, 21, 12, 5, 2}

Step 1: Sort the numbers in order from smallest to largest.

Sorted:
1, 2, 5, 7, 12, 14, 18, 19, 21

There are 9 numbers → odd number of values.

- Min = smallest = 1
- Max = largest = 21
- Median = middle value → 5th number = 12

Now split into lower half and upper half (excluding median):

Lower half (first 4): 1, 2, 5, 7 → Q1 = average of 2nd and 3rd = (2 + 5)/2 = 3.5

Upper half (last 4): 14, 18, 19, 21 → Q3 = average of 2nd and 3rd = (18 + 19)/2 = 18.5

✔ So for Problem ①:
- Min = 1
- Q1 = 3.5
- Median = 12
- Q3 = 18.5
- Max = 21

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Problem ②: Data = {10, 5, 20, 12, 4, 25, 29, 25, 30}

Sort them:

4, 5, 10, 12, 20, 25, 25, 29, 30

Again, 9 numbers → odd.

- Min = 4
- Max = 30
- Median = 5th number = 20

Lower half (first 4): 4, 5, 10, 12 → Q1 = (5 + 10)/2 = 7.5

Upper half (last 4): 25, 25, 29, 30 → Q3 = (25 + 29)/2 = 27

✔ So for Problem ②:
- Min = 4
- Q1 = 7.5
- Median = 20
- Q3 = 27
- Max = 30

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Problem ③: Data = {76, 71, 72, 66, 75, 72, 62, 69, 77}

Sort them:

62, 66, 69, 71, 72, 72, 75, 76, 77

9 numbers again.

- Min = 62
- Max = 77
- Median = 5th number = 72

Lower half (first 4): 62, 66, 69, 71 → Q1 = (66 + 69)/2 = 67.5

Upper half (last 4): 72, 75, 76, 77 → Q3 = (75 + 76)/2 = 75.5

✔ So for Problem ③:
- Min = 62
- Q1 = 67.5
- Median = 72
- Q3 = 75.5
- Max = 77

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Final Answer:

①
Min = 1
Q1 = 3.5
Median = 12
Q3 = 18.5
Max = 21

②
Min = 4
Q1 = 7.5
Median = 20
Q3 = 27
Max = 30

③
Min = 62
Q1 = 67.5
Median = 72
Q3 = 75.5
Max = 77