Question

Hi can you help me to find the Mean, Medium, Mode, and Range please !

Answer 1

The given data set is:

`12,12,18,19,19,21,23,23,23,23,32,32,41,50,50,50,82,82`

a) The Mean:

`\bar{x}=\frac{sum\text{ of observations}}{\text{number of observations}}`

Thus,

`\bar{x}=(12+12+18+19+19+21+23+23+23+23+32+32+41+50+50+50+82+82)/(18)`

b) The median;

The median is the middle number or the average of the numbers if there are two(2) middle numbers.

However, the observations have to be arranged in ascending order.

In this case, the observations are already arranged from the lowest to the highest.

Thus, we have:

`\begin{gathered} \text{middle numbers are 23 and 23} \\ \text{Median}=(23+23)/(2) \\ \text{Median}=(46)/(2)=23 \end{gathered}`

c) The Mode;

The mode is the most occuring observation.

Thus, the Mode is 4

d) The Range:

`\begin{gathered} \text{Range}=\text{highest number -lowest number} \\ \text{Range}=82-12=70 \end{gathered}`