Answer:
7.8 hours.
Step-by-step explanation:
We have been given a a data set, which represents the number of hours Bill spent exercising each week. We are asked to find the mid-range of our given data set.
Our data set is: 7.4, 6.7, 7.4, 7.4, 7.6, 8.0, 6.6, 8.0, 8.4, 7.4, 8.8, 6.7, 8.0, 9.0, 7.6
Let us arrange our given data in ascending order.
6.6, 6.7, 6.7, 7.4, 7.4, 7.4, 7.4, 7.6, 7.6, 8.0, 8.0, 8.0, 8.4, 8.8, 9
Since we know that mid-range is the mid-way between the least value and the greatest value of the data set or it is average of least and greatest data points.
[tex]\text{Mid-range}=\frac{\text{The least value of data set+Greatest value of data set}}{2}[/tex]
We can see that 6.6 is the least data point and 9.0 is the greatest data point of our given data set.
[tex]\text{Mid-range}=\frac{6.6+9}{2}[/tex]
[tex]\text{Mid-range}=\frac{15.6}{2}[/tex]
[tex]\text{Mid-range}=7.8[/tex]
Therefore, the mid-range of our given data set is 7.8 hours.
