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Find the midrange of the data set:

[tex]
\begin{array}{lllllll}
31.2 & 48.6 & 54.8 & 47.6 & 51.5 & 35.8 & 37.3 & 42.8
\end{array}
[/tex]

A. 43.7
B. 45.2
C. 43.0
D. 44.1

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].

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