Question

A data set has these values: 8, 10, 10, 12, 12, 12, 12, 14, 14, 16. The histogramof the distribution is shownWhich statement does not describe the data set?O A. It has a mode of 12.O B. It is symmetricO c. It has a range of 17OD. It has a mean of 12.

Answer 1

Given a data set has these values: 8, 10, 10, 12, 12, 12, 12, 14, 14, 16.

It is clear that the frequency of 12 is the greatest of all. So, the mode of the data is 12.

From the graph it is clear that, it is symmetric.

The range of the data is Max - Min = 16 - 8 = 8. Thus, range is 8.

The mean of a data is:

`\text{Mean}=\frac{\text{ sum of all observation}}{\text{ total number of observation}}`

For the given data:

`\begin{gathered} \text{Mean}=(8+10+10+12+12+12+12+14+14+16)/(10) \\ =(120)/(10) \\ =12 \end{gathered}`

Thus, the mean of the data is 12.

Thus, the statement that does not describe the data set is c.