Question

Ten students participated in the 4 mile relay. Each student ran a fraction of the 4 miles. Chooses which line plot could represent the data of the runners. Explain your reasoning.

Answer 1

B

Explanation:

To know which line plot could represent the data, we take the sum of the miles covered by the runners and check if it adds up to 4 miles for each plot :

Plot 1 :

(1/12 * 1) + (1/8 * 2) + (1/6 * 1) + (1/4 * 2) + (1/3 * 1) + (1/2 * 3) = 2.8333

Plot 2 :

(1/6 * 2) + (1/4 * 2) + (1/3 * 2) + (1/2 * 3) + 1 = 3 +1 = 4 miles

Since the sum of the miles ran by the runners equals 4 miles for the second plot, hence, the second plot could represent the data for the runners.