Question

8students 16, 6, 10, 7, 20, 11, 9, 16 mean and median round to nearest tenth

Answer 1

The mean is 11.9 while the median is 10.5

Here, we want to calculate the mean and the median

Mathematically, the mean is the average of the numbers

We proceed as follows to find the mean;

$\begin{gathered} \operatorname{mean}\text{ = }\frac{16+6+10+7+20+11+9+16}{8} \\ \\ \operatorname{mean}\text{ = }\frac{95}{8}\text{ = 11.875} \\ \\ \text{which is 11.9 to the nearest tenth} \end{gathered}$

To get the median, we simply re-arrange the values in the data set from the lowest to the highest

That will be;

6,7,9,10,11,16,16,20

The median term refers to the middle number

Since the number of terms here is even, then the median would be the average of the two 4th terms counting from both ends

Thus, the median is;

$\frac{10+11}{2}\text{ = }\frac{21}{2}\text{ = 10.5}$

The median is 10.5