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)