Calculate an estimate of the mean height of the students. Give your answer in centimetres (cm). Bight(5) \( 120

Ask by Carter Rodriquez. in Spain

Feb 03,2025

To calculate the estimated mean height of the students, we need to find the midpoint for each height interval, multiply it by the frequency of students in that interval, and then divide by the total number of students. 1. **Calculate Midpoints**: - For \( 120 < x \leq 130 \): Midpoint = \( (120 + 130) / 2 = 125 \) cm - For \( 130 < x \leq 140 \): Midpoint = \( (130 + 140) / 2 = 135 \) cm - For \( 140 < x \leq 150 \): Midpoint = \( (140 + 150) / 2 = 145 \) cm 2. **Multiply Midpoints by Frequencies**: - \( 125 \times 2 = 250 \) - \( 135 \times 12 = 1620 \) - \( 145 \times 6 = 870 \) 3. **Calculate Total**: - Sum of products = \( 250 + 1620 + 870 = 2740 \) 4. **Calculate Total Frequency**: - Total students = \( 2 + 12 + 6 = 20 \) 5. **Estimate Mean Height**: - Mean height = \( 2740 / 20 = 137 \) cm Thus, the estimated mean height of the students is **137 cm**!