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Mathematics · May / June 2022 · Paper 42 · Question 7

0580

As printed in the paper

The question as text

Information about the mass, m kg, of each of 150 children is recorded in the frequency table. Mass (m kg) m 0 10 1 G m 10 20 1 G m 20 25 1 G m 0 25 4 1 G m 40 0 5 1 G Frequency 12 38 32 50 18

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

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

    25.2 or 25.23… [4]

    M1 for midpoints soi

    M1 for use of ∑fx with x in correct interval including both boundaries M1 (dep on 2nd M1) for ∑fx ÷ 150

  • 7(b)[4]

    5 correct blocks [4]

    B3 for 4 correct blocks

    or B2 for 3 correct blocks

    or B1 for 2 correct blocks or block widths 10, 10, 5, 15, 10 If 0 scored

    SC1 for 4 correct frequency densities from 1.2, 3.8, 6.4, 3.33[3…] and 1.8 oe soi

  • 7(c)(i)[2]

    12, 50, 82, 132, 150 [2]

    B1 for 3 or 4 correct

  • 7(c)(ii)[2]

    92 [2]

    M1 for 150 −12 oe seen If 0 scored,

    SC1 for answer 8[%]

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