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Mathematics · May / June 2025 · Paper 41 · Question 15

0580

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The question as text

The height of each of 140 basketball players is recorded. The table shows the results. Height ( cm)  0 0 16 18 Ĝ ė  0 18 185 Ĝ ė  0 185 19 Ĝ ė  0 2 0 19 0 Ĝ ė  200 210 Ĝ ė Frequency 7 12 31 70 20

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  • 15(a)[4]

    192 or 192.4… nfww [4]

    M1 for midpoints soi (170, 182.5, 187.5, 195, 205)

    M1 for use of Σfm with m in correct interval including both boundaries M1 (dep on second M1) for Σfm ‣ 140

  • 15(b)[2]

    69 278 oe [2]

    M1 for 70 69 × 140 139

  • 15(c)[3]

    Correct histogram [3]

    B2 for three correct blocks

    or B1 for two correct blocks If 0 scored,

    SC1 for three of 7 12 31 70 , , 5 10 or 0.35, 2.4, 6.2, 7 , 20 5

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