Statistics - Median

Statistics - Median

IP 1
6 marks

The table shows the recorded number of laps completed by \(20\) students during a swimming session.

Number of laps\(1\)\(2\)\(3\)\(4\)\(5\)
Number of students\(3\)\(4\)\(6\)\(5\)\(2\)

  1. Calculate the mean and median of the recorded numbers of laps.

    [3]

  2. A recording error is discovered. One of the two students recorded as completing \(5\) laps actually completed \(15\) laps.

    Find the corrected mean and median. Explain why the correction affects one measure but leaves the other unchanged.

    [3]

Solution:

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Answer:(a) Mean \(=2.95\) laps, median \(=3\) laps (b) Mean \(=3.45\) laps, median \(=3\) laps

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