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.
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
Substitute:
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 =
Step 5: Simplify the fraction.
Check common factors:
18 =
115 =
GCD(18, 115) = 1
The fraction is already in its simplest form.
\dfrac{18{115}}
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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.