College

Find the midrange of the data set.

31.2, 48.6, 54.8, 47.6, 51.5, 35.8, 37.3, 42.8, 44.1, 45.2, 43.7, 43.0

Answer :

Final answer:

The midrange of the data set is calculated by finding the smallest and largest numbers, adding them together, and dividing by two. For the given set, the midrange is 43.

Explanation:

Finding the Midrange of a Data Set

To find the midrange of a data set, you must first identify the smallest and largest numbers in the set. Then, you add these two numbers together and divide by two to get the midrange. The midrange is a measure of central tendency that indicates the middle value of the range of data.

In the provided data set, the smallest value is 31.2 and the largest value is 54.8. To find the midrange:

Add the smallest and largest values: 31.2 + 54.8 = 86.

Divide the sum by two: 86 / 2 = 43.

Therefore, the midrange of the data set is 43.