Grouped sprint times with an unknown parameter

Grouped sprint times with an unknown parameter

Secondary 2
7 marks
TGM Original Questions

Sprint-time classes \(12.0\le t<12.5,12.5\le t<13.0,13.0\le t<13.5,13.5\le t<14.0,14.0\le t<14.5\) have frequencies \(8,2w+1,16,11,w\). There are 60 times. Find

  1. \(w\),[2]
  2. the modal class,[1]
  3. the estimated mean,[3]
  4. the pie angle for the second class.[1]

Solution:

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Answer:(a) \(w=8\) (b) \(12.5\le t<13.0\) (c) \(13.2\) s (d) \(102^\circ\).

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