Based on the box-and-whisker plot shown below, what value is the 75th percentile?
a) 17
b) 18
c) 20

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.

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step-by-step explanation: