Question

Which measurement BEST describes the center of the data set shown below?RangeMeanModeMedian

Answer 1

In this question, we need to get the term that describes the center of the data set shown below:

11, 5 10 11 12 40 48

Re-arranging the numbers, we have:

5, 10, 11, 11, 12, 40, 48

We can get the value of the mean.

`\begin{gathered} \text{Mean}=\text{ }(1)/(7)(\text{ }5+10+11+11+12+40+48) \\ \text{ = }(1)/(7)\text{ x 137} \\ \text{ = 19.57} \end{gathered}`

Getting the value of the mode,

Mode = 11

Getting the value of the median

Median = 11

Range = Highest number minus Smallest number

= 48 - 5

= 43

CONCLUSION: The mean describes the center of the data set shown above.

The center is Median = 11.