Based on the box-and-whisker plot shown below, what value is the 75th percentile?
a) 17
b) 18
c) 20
Answer:
The correct option is c.
Step-by-step explanation:
From the given box-and-whisker plot it is clear that the five number summary is:
Minimum value = 15
First quartile,Q₁ = 17
Median = 18
Third quartile, Q₃ = 20
Maximum value = 21
We need to find the 75th percentile. We know that
25th percentile = Q₁ = 17
50th percentile = Median = 18
75th percentile = Q₃ = 20
The 75th percentile of the given data is 20. Therefore the correct option is c.