SOLUTION
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.
[tex]\begin{gathered} \text{Mean}=\text{ }\frac{1}{7}(\text{ }5+10+11+11+12+40+48) \\ \text{ = }\frac{1}{7}\text{ x 137} \\ \text{ = 19.57} \end{gathered}[/tex]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.