Chapter 13.1, Problem 33ES

Use the following information about another measure of central tendency for a set of data, called the midrange. The midrange is defined as the value that is halfway between the minimum data value and the maximum data value. That is.

$\text{Midrange}=\frac{\text{minimum value}+\text{maximum value}}{2}$

The midrange is often stated as the average of a set of data in situations in which there are a large amount of data and the data are constantly changing. Many weather reports state the average daily temperature of a city as the midrange of the temperatures achieved during that day. For instance, if the minimum daily temperature of a city was 600 and the maximum daily temperature was 90°, then the midrange of the temperatures is $\frac{60°+90°}{2}=75°$.

During a 24-hour period on January 23-24, 1916, the temperature in Browning, Montana, decreased from a high of 44°F to a low of -56°F. Find the midrange of the temperatures during this 24-hour period. (Source: National Oceanic and Atmospheric Administration)