Question

The lengths of the electical extension cords in a workshop are 6 ft, 8 ft, 25 ft, 8 ft, 12 ft, 50 ft, and 25 ft. what are the mean, median, mode, and range of the lengths of the cords in inches?

Answer 1

Mean.

We determine first the sum of the given lengths. Then, divide the sum by the total number of items. That is,
mean = (6 ft + 8 ft + 25 ft + 8 ft + 12 ft + 50 ft + 25 ft) / 7
mean = 19.14 ft

Median.

We arrange the items from least to lowest. Then, determine the middle term.
6 ft, 8 ft, 8 ft, 12 ft, 25 ft, 25 ft, 50 ft
The middle term (which is the median term) is 12 ft.

Mode.

We count how many times a certain item appears in the set and the highest count, will be the mode. From the given set of numbers, the mode is 8 ft and 25 ft.

Range.

We subtract the shortest length from the longest length. The answer will then be 50 ft - 8 ft equal to 42 ft.