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Lesson Worksheet: Percentiles and Quartiles Mathematics

In this worksheet, we will practice computing percentiles and quartiles from a given data set.

Q1:

A ski jump event tracked the distance jumped by skiers in the grouped frequency table shown.

Time Taken (Minutes)160𝑚<180180𝑚<200200𝑚<220220𝑚<240240𝑚<260
Frequency22345161

Estimate the value of the 55th percentile of the distance jumped by skiers in the event. Give your answer to one decimal place.

A claim is made that at least 90% of the skiers jumped less than 231 m. By estimating a suitable percentile, is this claim valid?

  • ANo, we can estimate that the 90th percentile is 232 m to one decimal place, and this would imply that too many skiers jumped further than 231 m.
  • BYes, we can estimate that the 90th percentile is 230.6 m to one decimal place, so 90% of the data will lie below this value.
  • CNo, we can estimate that the 89th percentile is 231.1 m to one decimal place, so 89% of the data will lie below this value. Therefore, the claim is incorrect.
  • DYes, we can estimate that the 90th percentile is 230.4 m to one decimal place, so 90% of the data will lie below this value.

This lesson includes 9 additional question variations for subscribers.

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