Using the median concept, it is found that the median is of 87, the first quartile is of 84 and the third percentile is of 92.
What is the median of a data-set?
It is the value that separates the bottom 50% of the data-set from the upper 50%.
Additionally, we have that:
- The first quartile is the median of the bottom 50%, hence the 25th percentile.
- The third quartile is the median of the upper 50%, hence the 75th percentile.
In this problem, the ordered data-set is:
75, 76, 84, 85, 87, 88, 90, 91, 92, 94, 99.
There are 11 elements, hence the median is the 6th element, which is 87. Then:
- The bottom 50% has 5 elements, hence the first percentile is the third element, which is of 84.
- The upper 50% has 5 elements, hence the third percentile is the ninth element(3rd of the upper 50%), which is of 92.
More can be learned about the median concept at https://brainly.com/question/23923146
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