Reading values from a box plot Revision Card

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Reading values from a box plot.

Mark the minimum, Q₁, median, Q₃ and maximum on one consistent scale.
The box shows the middle 50%; the whiskers reach the extremes.
Compare medians for typical value and IQRs for spread.

Example 1

Read the five summary values, then find the range and IQR.

Range

Subtract the minimum from the maximum.

The box runs from Q₁ to Q₃; the line inside it marks the median.

Minimum 2, Q₁ 5, median 8, Q₃ 12, maximum 17.

Example 2

Read the five summary values, then find the range and IQR.

Range

Subtract the minimum from the maximum.

The box runs from Q₁ to Q₃; the line inside it marks the median.

Minimum 3, Q₁ 6, median 9, Q₃ 13, maximum 18.

Your turn

Question 1

Read the five summary values, then find the range and IQR.

Check answer

Range

Subtract the minimum from the maximum.

The box runs from Q₁ to Q₃; the line inside it marks the median.

Minimum 4, Q₁ 7, median 10, Q₃ 14, maximum 19.

Question 2

Read the five summary values, then find the range and IQR.

Check answer

Range

Subtract the minimum from the maximum.

The box runs from Q₁ to Q₃; the line inside it marks the median.

Minimum 5, Q₁ 8, median 11, Q₃ 15, maximum 20.

Question 3

Read the five summary values, then find the range and IQR.

Check answer

Range

Subtract the minimum from the maximum.

The box runs from Q₁ to Q₃; the line inside it marks the median.

Minimum 6, Q₁ 9, median 12, Q₃ 16, maximum 21.

Question 4

Read the five summary values, then find the range and IQR.

Check answer

Range

Subtract the minimum from the maximum.

The box runs from Q₁ to Q₃; the line inside it marks the median.

Minimum 7, Q₁ 10, median 13, Q₃ 17, maximum 22.

Question 5

Read the five summary values, then find the range and IQR.

Check answer

Range

Subtract the minimum from the maximum.

The box runs from Q₁ to Q₃; the line inside it marks the median.

Minimum 8, Q₁ 11, median 14, Q₃ 18, maximum 23.