How to find the percentiles for a data set

Practice Questions

AP Statistics › How to find the percentiles for a data set

Questions

The 70th and 80th percentiles of a set of scores are 78 and 86, respectively; the interquartile range of the scores is 41. Which of these scores is more likely than the others to be at the 25th percentile?

Your class' scores on a recent quiz was listed on the board.

Calculate the $85^{th}$ percentile.

Your gym class' shot put distances are listed in the set below.

Which score is the $95^{th}$ percentile?

The following data set represents Mr. Marigold's students' scores on the final. If you got a 90 on the final, what percentile does that place you in?

$\small \small \small 66, 69, 71, 71, 72, 73.5, 74, 74, 76.5, 76.5, 77.5, 78, 81$
$\small 81, 85, 86, 86, 86, 87, 87.5, 88.5, 89, 90, 92, 92, 100$

The following data set represents Mr. Marigold's students' scores on the final. If you are in the 46th percentile, what did you score?

$\small \small \small 66, 69, 71, 71, 72, 73.5, 74, 74, 76.5, 76.5, 77.5, 78, 81$
$\small 81, 85, 86, 86, 86, 87, 87.5, 88.5, 89, 90, 92, 92, 100$

The following data set represents Mr. Marigold's students' scores on the final. If you are in the 96th percentile, what did you score?

$\small \small \small 66, 69, 71, 71, 72, 73.5, 74, 74, 76.5, 76.5, 77.5, 78, 81$
$\small 81, 85, 86, 86, 86, 87, 87.5, 88.5, 89, 90, 92, 92, 100$

The following data set represents Mr. Marigold's students' scores on the final. If you got a 74 on the final, what percentile does that place you in?

$\small \small \small 66, 69, 71, 71, 72, 73.5, 74, 74, 76.5, 76.5, 77.5, 78, 81$
$\small 81, 85, 86, 86, 86, 87, 87.5, 88.5, 89, 90, 92, 92, 100$

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