Box Plot Statistics Example 3
Follow the full solution, then compare it with the other examples linked below.
Example 3
mediumData: 3, 5, 6, 8, 10, 12, 14. Find the five-number summary.
Solution
- 1 Step 1: Min = 3, Max = 14, Median = 8 (4th of 7 values).
- 2 Step 2: Q1 = 5 (median of {3, 5, 6}), Q3 = 12 (median of {10, 12, 14}).
Answer
Min = 3, Q1 = 5, Median = 8, Q3 = 12, Max = 14.
The five-number summary divides data into quarters, giving a concise picture of the distribution's centre and spread.
About Box Plot
A visual display of the five-number summary: minimum, first quartile (Q1), median, third quartile (Q3), and maximum.
Learn more about Box Plot →More Box Plot Examples
Example 1 medium
Data: 2, 4, 5, 7, 8, 9, 11, 13, 15. Find the five-number summary and describe how to draw a box plot
Example 2 mediumA box plot shows: Min = 10, Q1 = 20, Median = 35, Q3 = 50, Max = 90. Calculate the IQR and determine
Example 4 mediumA box plot has Min = 4, Q1 = 9, Median = 12, Q3 = 18, Max = 21. Find the interquartile range and sta