Question

the range of the weights, in pounds, of all the goats on a farm is 180. which statement about the weights of the goats is most likely true?
a. the heaviest goat on the farm weighs 180 pounds.
b. exactly 50% of the goats on the farm weigh less than 90 pounds.
c. exactly 50% of the goats on the farm weigh within 180 pounds of each other.
d. there is a goat on the farm that weighs 180 pounds more than another goat on the farm.

Explanation:

Range is defined as the difference between the maximum and minimum values in a dataset. A range of 180 means the heaviest goat minus the lightest goat equals 180 pounds, so one goat is 180 pounds more than another. Option A is false because range is a difference, not the maximum weight. Option B is false because 90 is half the range, not the median (which relates to 50% distribution). Option C is false because range does not imply 50% of values are within the range of each other.

Answer:

D. There is a goat on the farm that weighs 180 pounds more than another goat on the farm.