Page 265 - SK Year 5 Mathematics DLP

Recycled Materials
4 The pie chart shows the mass of Gathered
recycled materials gathered by 16 kg
10 pupils. 10%
State the: 10 kg
20%
a mode. 14 kg
b median. 40% 12 kg
30%
c mean.

a Mass 10 kg 12 kg 14 kg 16 kg
Percentage 20% 30% 40% 10%

20 30 40 10
Number of × 10 × 10 × 10 × 10
pupils 100 100 100 100
= 2 = 3 = 4 = 1
The number of pupils that gathered 14 kg of recycled
materials is the most.

The mode is 14 kg.

b Arrange the data in ascending order.
10, 10, 12, 12, 12, 14, 14, 14, 14, 16

12 kg + 14 kg
Median =
2
= 13 kg

The median is 13 kg.

Total mass 2 other pupils
c Mean = managed to gather
Total of pupils
10 kg of recycled
= (2 × 10) + (3 × 12) + (4 × 14) + (1 × 16) materials. Is the
2 + 3 + 4 + 1 median of the current
= 20 + 36 + 56 + 16 data equal to 12 kg?
Discuss.
10
128
=
10
= 12.8
The mean is 12.8 kg.

257
• Guide pupils to obtain important information from the pie chart
8.2.1
before calculating the range, mode, median, and mean.