High School

Find the midrange for the group of data items:

99, 99, 92, 45, 79, 99.

Answer :

To find the midrange of a set of numbers, you need to calculate the average of the smallest and largest numbers in the set. The midrange is a measure of central tendency that represents the midpoint between the maximum and minimum values in a dataset.

Here's how you can calculate the midrange step-by-step for the data items: 99, 99, 92, 45, 79, 99.

  1. Identify the smallest and largest values in the dataset.

    • The smallest value is 45.
    • The largest value is 99.
  2. Add these two values together.

    • [tex]45 + 99 = 144[/tex]
  3. Divide the sum by 2 to find the midrange.

    • [tex]\frac{144}{2} = 72[/tex]

Therefore, the midrange for this group of data items is 72. This means the midpoint between the lowest and highest observations is 72, offering a simple measure of the dataset's center.