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Drawing a box plot from five summary values

Drawing a box plot from five summary values.

  • 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

Draw a box plot from the five summary values.

Given information
MinimumQ₁MedianQ₃Maximum
2581217
RangeSubtract 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.
Box plot024681012141618Data

Example 2

Draw a box plot from the five summary values.

Given information
MinimumQ₁MedianQ₃Maximum
3691318
RangeSubtract 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.
Box plot135791113151719Data

Your turn

Question 1

Draw a box plot from the five summary values.

Given information
MinimumQ₁MedianQ₃Maximum
47101419
Check answer
RangeSubtract 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.
Box plot2468101214161820Data
Question 2

Draw a box plot from the five summary values.

Given information
MinimumQ₁MedianQ₃Maximum
58111520
Check answer
RangeSubtract 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.
Box plot3579111315171921Data
Question 3

Draw a box plot from the five summary values.

Given information
MinimumQ₁MedianQ₃Maximum
69121621
Check answer
RangeSubtract 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.
Box plot46810121416182022Data
Question 4

Draw a box plot from the five summary values.

Given information
MinimumQ₁MedianQ₃Maximum
710131722
Check answer
RangeSubtract 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.
Box plot57911131517192123Data
Question 5

Draw a box plot from the five summary values.

Given information
MinimumQ₁MedianQ₃Maximum
811141823
Check answer
RangeSubtract 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.
Box plot681012141618202224Data
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