2025 CCHY PRELIMS P1 Q21

2025 CCHY PRELIMS P1 Q21

Secondary 4
3 marks

The table shows the quiz scores for a group of 30 students.

Quiz score, \(m\)Frequency
\(0<m\leq5\)\(2\)
\(5<m\leq10\)\(5\)
\(10<m\leq15\)\(15\)
\(15<m\leq20\)\(8\)
  1. Calculate an estimate for
    1. the mean score of the students.[1]
    2. the standard deviation of the quiz scores.[1]
  2. A student who was sick did a make-up for the quiz. The new mean mark was 13. Given that the original median was 12, what can be deduced about the new median?[1]

Solution:

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Answer:(a)(i) \(12.33\) (ii) \(4.18\) (b) new median is at least \(12\)

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