Question

Lily bought 22.17 pounds of grapefruit. The lightest grapefruit weighed 1.3 pounds. The heaviest grapefruit weighed 1.7 pounds. Which is the best estimate of how many grapefruits she purchased?

Answer 1

Answer:

Approximately 15 grapefruits

Step-by-step explanation:

Average Value

The mean or average of a sample is a number that represents the whole set by the center value of them. The formula to compute the average is

$\displaystyle \bar x=\frac{\sum x_i}{n}$

Where xi is the value of the element i and n is the number of elements in the set

We need to find an estimate of how many grapefruits Lily purchased knowing the heaviest and the lightest weight of the set. We can find the average value by using the two extreme values:

$\displaystyle \bar x=\frac{1.3+1.7}{2}=1.5$

If each grapefruit weighed 1.5 pounds, then we can estimate the 22.17 pounds of them will contain

$22.17/1.5\approx 15\ \text{grapefruits}$