Zoe checked the floor plan of 7 rooms in the school dormitory. They measured:

83 square feet84 square feet84 square feet80 square feet84 square feet81 square feet80 square feet
What was the median square footage?

square feet

1 answer

To find the median of the given square footage measurements, we first need to arrange the values in ascending order.

The measurements are:

  • 83 square feet
  • 84 square feet
  • 84 square feet
  • 80 square feet
  • 84 square feet
  • 81 square feet
  • 80 square feet

Sorting these values, we get:

  • 80 square feet
  • 80 square feet
  • 81 square feet
  • 83 square feet
  • 84 square feet
  • 84 square feet
  • 84 square feet

Now, since there are 7 measurements (which is an odd number), the median will be the middle value in the sorted list. The middle value is the 4th number.

Counting to the 4th number in the sorted list:

  1. 80
  2. 80
  3. 81
  4. 83

Thus, the median square footage is 83 square feet.