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

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

ScanSolve AI Answer

Answer

\dfrac{18}{115}

Step 1: Identify the frequency table from the graph.

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

Step 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.

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

Frequency = 18 members.

Step 4: Calculate the fraction.

Formula: fraction = frequencyinintervaltotalfrequency\frac{frequency in interval}{total frequency}
18115\frac{18}{115}

Step 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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Quick Answer

Identify the frequency table from the graph. Height (cm) | Frequency (members) 150–160 & 18 \\ 160–170 & 39 \\ 170–180 & 58 \\ Step 2: Calculate the total number of members.

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

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Identify the frequency table from the graph. Height (cm) | Frequency (members) 150–160 & 18 \\ 160–170 & 39 \\ 170–180 & 58 \\ Step 2: Calculate the total number of members. Formula: total frequency = sum of all frequencies 18 + 39 + 58 Substitute: 18 + 39 = 57 57 + 58 = 115 Total number of members = 115 members. Step 3: Identify the frequency for members between 150 cm and 160 cm tall. Frequency = 18 members. Step 4: Calculate the fraction. Formula: fraction = frequency in intervaltotal frequency (18)/(115) Step 5: Simplify the fraction. Check common factors: 18 = 2 × 3^2 115 = 5 × 23 GCD(18, 115) = 1 The fraction (18)/(115) is already in its simplest form. (18)/(115)