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A group of 15 pupils received school shoes sponsored by the Parent-Teacher Association (PTA) of the school. The number of pupils that received sizes 3 and 4 shoes are 4 pupils and 6 pupils respectively. Size 5 shoes were given to 3 pupils and the rest received size 6 shoes.
Find the mode, range, median, mean.
| SIZE |
Number of Pupils |
| 3 |
4 |
| 4 |
6 |
| 5 |
3 |
| 6 |
2 |
MODE:
The highest frequency is 6.
Therefore, the mode is size 4.
RANGE:
Range = Maximum value - Minimum value
= 6 - 3
= 3
The range of the shoe size is 3.
MEDIAN:
There are 15 pieces of data. Median is the value of the data that is in the middle.
3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6
Therefore, the median is size 4.
MEAN:
4 x 3 = 12
6 x 4 = 24
3 x 5 = 15
2 x 6 = 12
\(\text{Mean} = \dfrac{12+24+15+12}{15}\\ \quad\quad\quad=\dfrac{63}{15}\\ \quad\quad\quad=4.2\)
The mean is size 4.2. 
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