3. Pearls are graded by their diameters in mm to the nearest whole number in handicraft shops. Zoey's mother planned to make a pearl necklace and asked Zoey to buy some 8 mm pearls. Zoey bought some pearls and measured their diameters with a rule (Figure 7). She measures the diameter of ten pearls in a row because it is hard to meas the diameter of one pearl accurately.
a) Write down the estimated leftmost and rightmost readings for this array of pearls on the rule.
b) What is the diameter of one pearl? Did Zoey buy pearls of the correct size

Answer: In this case, the average diameter of the pearls is 8.26 mm, which is slightly larger than 8 mm. Zoey did not buy pearls of the correct size based on these measurements.

Explanation:

a) The estimated leftmost reading on the rule for the array of pearls would be the smallest measurement, which is likely the diameter of the smallest pearl in the set.

- The estimated rightmost reading on the rule for the array of pearls would be the largest measurement, which is likely the diameter of the largest pearl in the set.

b)

- To find the diameter of one pearl, Zoey can calculate the average diameter of the ten pearls she measured.

- She can add up all the measured diameters and then divide by 10 (the number of pearls measured) to get the average diameter.

- If the average diameter matches 8 mm, then Zoey bought pearls of the correct size. If it differs significantly, then she did not buy pearls of the correct size.

The estimated leftmost reading could be 7.7 mm and the estimated rightmost reading could be 8.4 mm.