ECZ 2014 · O-Level Paper 1 — Statistics

A sweet manufacturing company intends to start manufacturing lolly pops under the following brand names: IYALOWA, YONZUNA, YATOWALA, YEMUNATI, YATOBALA, ILWEELA and CHINAYEME. The frequency table below shows the occurrence of letters in these words, with three entries missing. Letter | A | B | C | E | H | I | L | M | N | O | T | U | W | Y | ZFrequency | 12 | 1 | 1 | 5 | 1 | 4 | 5 | ? | 4 | 4 | ? | 2 | 3 | ? | 1 Find the missing frequencies for M, T and Y.

  • A. M = 2, T = 3, Y = 5
  • B. M = 1, T = 3, Y = 6
  • C. M = 2, T = 3, Y = 6
  • D. M = 2, T = 2, Y = 6

Verified working — step 1

M appears in YEMUNATI and CHINAYEME: 2. T appears in YATOWALA, YEMUNATI and YATOBALA: 3. Y appears in IYALOWA, YONZUNA, YATOWALA, YEMUNATI, YATOBALA and CHINAYEME: 6. Check: the frequencies now total 54, matching 7 + 7 + 8 + 8 + 8 + 7 + 9 = …

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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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