Question

FIND THE MEAN, MEDIAN, MODE, AND MIDRANGE OF THE FOLLOWING SET OF DATA17,11,15,17,12,22,15,10

Answer 1

Mean = 14.875

Median = 15

Mode = 15 and 17

Midrange = 16

Explanations:

Given the following data shown below;

17,11,15,17,12,22,15,10

Determine the mean

Mean is the average of the set of data. Mathematically;

`\begin{gathered} Mean=\frac{sum\text{ of data}}{sample\text{ size}} \\ Mean=(17+11+15+17+12+22+15+10)/(8) \\ Mean=(119)/(8) \\ Mean=14.875 \end{gathered}`

Determine the median

Median is the middle value of the data after rearrangement. On rearranging in ascending order;

10, 11, 12, (15, 15,) 17, 17, 22

Since there two values in the middle, the average of the two values will be the median.

`\begin{gathered} Medain=(15+15)/(2) \\ Median=(30)/(2) \\ Median=15 \end{gathered}`

Determine the mode

The mode is the number of that occur the most in the given data.

From the data, you can see that 15 and 17 occurs twice, hence the mode of the data is 15 and 17.

Determine the midrange

`\begin{gathered} Midrange=(min+max)/(2) \\ Midrange=(10+22)/(2) \\ Midrange=(32)/(2) \\ Midrange=16 \end{gathered}`

Hence the midrange of the data is 16