Questions: c) If you ended up with an IQ score of 111, what would be your percentile rank?

Transcript text: c) If you ended up with an IQ score of 111, what would be your percentile rank?

Solution

Step 1: Arrange the data in ascending order

First, we need to arrange the given IQ scores in ascending order:

47, 49, 50, 54, 55, 65, 69, 71, 73, 75, 77, 88, 89, 90, 90, 96, 98, 100, 102, 108, 120, 121, 122, 133, 136

Step 2: Determine the number of scores below 111

Count the number of scores in the ordered dataset that are less than 111. There are 19 such scores.

Step 3: Calculate the percentile rank

The percentile rank is calculated as follows:

Percentile Rank = (Number of scores below 111 / Total number of scores) * 100

Percentile Rank = (19 / 25) * 100 = 76

The percentile rank of an IQ score of 111 is 76.

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