Answer :
To find the midrange of a data set, we first need to identify the minimum and maximum values, and then take their average. The midrange is given by the formula:
[tex]$$
\text{Midrange} = \frac{\text{Minimum value} + \text{Maximum value}}{2}
$$[/tex]
From the given data set:
[tex]$$
31.2,\ 48.6,\ 54.8,\ 47.6,\ 51.5,\ 35.8,\ 37.3
$$[/tex]
1. The smallest value is [tex]$31.2$[/tex].
2. The largest value is [tex]$54.8$[/tex].
Now, substitute these values into the formula:
[tex]$$
\text{Midrange} = \frac{31.2 + 54.8}{2} = \frac{86.0}{2} = 43.0
$$[/tex]
Thus, the midrange of the data set is [tex]$\boxed{43.0}$[/tex].
[tex]$$
\text{Midrange} = \frac{\text{Minimum value} + \text{Maximum value}}{2}
$$[/tex]
From the given data set:
[tex]$$
31.2,\ 48.6,\ 54.8,\ 47.6,\ 51.5,\ 35.8,\ 37.3
$$[/tex]
1. The smallest value is [tex]$31.2$[/tex].
2. The largest value is [tex]$54.8$[/tex].
Now, substitute these values into the formula:
[tex]$$
\text{Midrange} = \frac{31.2 + 54.8}{2} = \frac{86.0}{2} = 43.0
$$[/tex]
Thus, the midrange of the data set is [tex]$\boxed{43.0}$[/tex].
