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What fraction of members were between 150 and 160 cm tall?

Mathematics

ScanSolve AI Answer

Answer

18115\dfrac{18}{115}

Step-by-step solution

5 steps
  1. Identify the frequency table from the graph.

    Height (cm) | Frequency (members)
    150–160 & 18 \
    160–170 & 39 \
    170–180 & 58 \

  2. Calculate the total number of members.

    Formula: total frequency = sum of all frequencies

    18+39+5818 + 39 + 58

    Substitute:

    18+39=5718 + 39 = 57 57+58=11557 + 58 = 115

    Total number of members = 115 members.

  3. Identify the frequency for members between 150 cm and 160 cm tall.

    Frequency = 18 members.

  4. Calculate the fraction.

    Formula: fraction = frequency in intervaltotal frequency\frac{\text{frequency in interval}}{\text{total frequency}}

    18115\frac{18}{115}
  5. Simplify the fraction.

    Check common factors:
    18 = 2×322 \times 3^2
    115 = 5×235 \times 23
    GCD(18, 115) = 1

    The fraction 18115\frac{18}{115} is already in its simplest form.

    \dfrac{18}{115}

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