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4 marksMeasures of Central Tendency

CSEC Mathematics · January 2004 · Paper 2 · Question 7(a)

A table shows a grouped frequency distribution of marks scored by 40 students on a test, with an incomplete column of cumulative frequencies. Intervals: 1-5 (Freq 4, Cum Freq 4), 6-10 (Freq 5, Cum Freq 9), 11-15 (Freq 9), 16-20 (Freq 14), 21-25 (Freq 5), 26-30 (Freq 3).

Calculate the mean of the frequency distribution assuming that each mark within each interval has a value equal to the midpoint of the interval.

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Other parts of this question

  1. 7(b)Copy and complete the cumulative frequency table.[2 marks]
  2. 7(c)(i)Using the cumulative frequency curve on the answer sheet provided, find the median mark scored.[6 marks]
  3. 7(c)(ii)Using the cumulative frequency curve on the answer sheet provided, find the number of students who scored no more than 12 marks.[6 marks]
  4. 7(c)(iii)Using the cumulative frequency curve on the answer sheet provided, find the number of students who scored more than 8 but less than 18 marks.[6 marks]
  5. 7(c)(iv)Using the cumulative frequency curve on the answer sheet provided, find the probability that a student chosen at random would score no more than 24 marks.[6 marks]

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