Question

The following dataset represents the number of minutes a student listens to music in a week for 50 students, sorted and
arranged in rows of 5. What is the 80th percentile of the data?

Answer 1

Using the percentile relation, the 80th percentile of the data is 77.

The 80th percentile of a data can be defined as :

• 80th percentile = 80% × (n+1)th term
• n = sample size = 50

Hence, we have ;

80th percentile = 0.8 × (50 + 1)th term

80th percentile = 40.8 term = 41th term

Since, the days is sorted, the 80th percentile is the value at index 41.

Hence, the 80th percentile of the data is 77.

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