Question

James needs to clock a minimum of 9 hours per day at work. The data set records his daily work hours, which vary between 9 hours and 12 hours, for a certain number of days.

{9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}.

The median number of hours James worked is . The skew of the distribution is

Answer 1

The median is the 11
as median is the middle value

and it will be a negative skew
hope it helps

Answer 2

Explanation:

The given data set is:

{9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}.

Now, the mean of the data set is given as:

`Mean=(9+9.5+10+10.5+10.5+11+11+11.5+11.5+11.5+12+12)/(12)`

`Mean=(130)/(12)=10.83`

Also, the median of the given data is given as:

`Median=(11+11)/(2)=(22)/(2)=11`

Thus, the median number of hours James worked will be 11.

Since, the mean of the given data set is less than the median of the given data, therefore the skew of the distribution will be negative as when the mean of the data set is smaller than the median then the data set is negatively skewed.