Question

Which choice below is most likely the value of the median of the data set shown in the histogram above?

Answer 1

The median of the data is given by the middle value.

We need to find the whole values

then

for 1-7 = 10 values

7-13 = 10 values

13-19= 10 values

19-25= 2 values

25-31 = 2 values

Total of data: 34

We need to find the media for an even number:

The median is given by:

$\text{median}=\frac{(\frac{n}{2})+(\frac{n}{2}+1)}{2}$

Where n=34

$\text{median}=\frac{(\frac{34}{2})+(\frac{34}{2}+1)}{2}$

Then

$\operatorname{median}=17.5$

The median is the 17.5 th term.

Now, the median should be in the range 7-13.

Hence, the most likely to be median is 10.