ECZ · Paper 1 — Statistics

The table shows the distances, in km, cycled by 40 members of a cycling club in one week. Distance d km | 0 < d ≤ 20 | 20 < d ≤ 40 | 40 < d ≤ 60 | 60 < d ≤ 80Frequency | 6 | 18 | 12 | 4 Calculate an estimate of the mean distance cycled.

  • A. 30 km
  • B. 34 km
  • C. 37 km
  • D. 40 km

Verified working — step 1

Use the mid-value of each class: 10, 30, 50 and 70. Then the total is 10×6 + 30×18 + 50×12 + 70×4 = 60 + 540 + 600 + 280 = 1480, and the estimated mean is 1480 ÷ 40 = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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