The ages of students in a small primary school were recorded in the table below.Age
Source: JAMB · 2023

The ages of students in a small primary school were recorded in the table below.

Age 5 – 6 7 – 8 9 – 10
Frequency 29 40 38

Estimate the median.

The ages of students in a small primary school were recorded in the table below.

Age 5 – 6 7 – 8 9 – 10
Frequency 29 40 38

Estimate the mean.

  1. 7.5
  2. 7.6
  3. 7.7 ✓
  4. 7.8
Explanation

Find the midpoint of each age group to represent that group. For 5-6, the midpoint is 5.5. For 7-8, the midpoint is 7.5. For 9-10, the midpoint is 9.5. These midpoints estimate the average age in each group.

Multiply each midpoint by its frequency: 5.5 × 29 equals 159.5, then 7.5 × 40 equals 300, then 9.5 × 38 equals 361. Add these products: 159.5 plus 300 plus 361 equals 820.5.

Divide the sum by the total number of students. Total frequency is 29 plus 40 plus 38 equals 107 students. Mean equals 820.5 divided by 107 equals 7.67, which rounds to 7.7 years.

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