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Answer :
The percentile for the data value 125 in the given data set is 37.5. This means that 37.5% of the data values in the data set are less than or equal to 125.
The percentile of a data set can be found by first arranging the data set from least to greatest and then using the formula:
P = (B/N) × 100
Where:
P is the percentile, B is the number of scores below the data value in question and N is the total number of scores.
In the given data set, we have to find the percentile for the data value 125. There are six data values that are less than 125. This data set includes 16 values in total therefore;
P = (6/16) ×100 = 37.5
So, the data value 125 is in the 37.5th percentile of this data set. Thus our conclusion is that 37.5% of the data values in the data set are less than or equal to 125.
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