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Mathematics · Oct / Nov 2023 · Paper 41 · Question 7

0580

As printed in the paper

The question as text

The frequency table shows the time of each of 42 athletes in a race. Time (t seconds) Number of athletes 216 t 1 G 219 9 219 t 1 G 224 14 224 t 1 G 234 14 234 t 1 G 244 2 244 t 1 G 264 3

Read automatically from the paper; the printed page above is exact.

Show the answer and mark scheme
  • 7(a)[4]

    226 nfww or 226.2 to 226.3[0] nfww [4]

    M1 for mid-points soi (217.5, 221.5, 229, 239, 254)

    M1 for use of Σfm with m in correct interval including both boundaries M1 (dep on 2nd M1) for Σfm ÷ (9 + 14 + 14 + 2 + 3)

  • 7(b)[3]

    Blocks with heights 2.8, 1.4, 0.2 and with correct widths [3]

    B1 for each correct block If 0 scored,

    SC1 for two correct frequency densities soi

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