Question

find the following for the data shown:
1\t11
16\t29
34\t38
39\t42
96\t98
what is the percentile of the data value 42? round to the nearest whole number.

which data value represents the 19th percentile?

Explanation:

Round up to 2, select 2nd value: 16

Yes, that's correct.

But wait, another way to calculate percentile rank is (number of values less than x + 0.5number of values equal to x)/n 100, which is (6 + 0.51)/9 100 = 6.5/9*100≈72.22≈72. But that's the "exact" percentile rank, while the other is the "cumulative" percentile rank.

The question says "percentile of the data value 42". In common terms, this is the cumulative percentile, meaning what percentage of data is at or below 42, which is 7/9*100≈78.

Yes, that's the correct interpretation for this type of question.

So final answer is 78 and 16.

Answer:

Round up to 2, select 2nd value: 16

Yes, that's correct.

But wait, another way to calculate percentile rank is (number of values less than x + 0.5number of values equal to x)/n 100, which is (6 + 0.51)/9 100 = 6.5/9*100≈72.22≈72. But that's the "exact" percentile rank, while the other is the "cumulative" percentile rank.

The question says "percentile of the data value 42". In common terms, this is the cumulative percentile, meaning what percentage of data is at or below 42, which is 7/9*100≈78.

Yes, that's the correct interpretation for this type of question.

So final answer is 78 and 16.