Measures of central tendency — A/L Combined Mathematics

How do I practise Measures of central tendency?

1 question with a worked solution

Check before you answer: Assumed Mean Method Application: Correctly setting up columns for midpoints x_i, deviations d_i (or u_i), and products f_i d_i.

1. In a moderately skewed unimodal frequency distribution, the mean is 24 and the median is 22. Using the empirical Pearson relationship between central tendency measures, what is the estimated mode?
   1. A) 20
   2. B) 16
   3. C) 26
   4. D) 18
   Check my answer

   Correct answer: D) 18

   Pearson's empirical formula relating the three measures of central tendency is: Mode ≈ 3 × Median - 2 × Mean. Substituting the given values: Mode ≈ 3(22) - 2(24) = 66 - 48 = 18.

   Show worked solution

   Step 1: Empirical formula: Mode ≈ 3 · Median - 2 · Mean. Step 2: Mode ≈ 3(22) - 2(24) = 66 - 48 = 18. Answer: 18.
   Modelled on: the A/L Combined Mathematics examination pattern

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Where does Measures of central tendency fit in the syllabus?

Year 2 · Term 3