Question

Calculate the Mean, Median, Mode of the following data: 5,10,10,12, 13

Are these three equal? [3 MARKS]

Answer 1

Mean, Median, Mode: Each 1 Mark

$Mean=\frac{\text{Sum of all observation}}{\text{Total number of observation}}$

$\Rightarrow \text{Mean}=\frac{5+10+10+12+13}{5}=\frac{50}{5}=10$

Median is the middle most observation of the given observations.

$\Rightarrow \text{Median}=10$

The mode is the most repeated observation of the given observations.

$\Rightarrow \text{Mode}=10$

Hence, for this observation, Mean, Median, Mode are equal.