Question

jacqueline practiced drums four times last week for sessions of 40 minutes, 35 minutes, 45 minutes, and 30 minutes. cassie practiced five times last week for sessions of 15 minutes, 30 minutes, 15 minutes, 15 minutes, and 50 minutes. which statement is true based on the data above? the two girls practiced for the same total amount of time last week. the average length of time cassie spent practicing is greater than the average length of time jacqueline spent practicing. the difference in length between cassies longest and shortest practice sessions was greater than the difference in length between jacquelines longest and shortest sessions. the greatest amount of time either girl spent practicing was one of jacquelines practice sessions.

Explanation:

Step1: Calculate Jacqueline's total practice time

$40 + 35+45 + 30=150$ minutes

Step2: Calculate Jacqueline's average practice time

$\frac{150}{4}=37.5$ minutes

Step3: Calculate Cassie's total practice time

$15+30 + 15+15+50 = 125$ minutes

Step4: Calculate Cassie's average practice time

$\frac{125}{5}=25$ minutes

Step5: Calculate the difference in Jacqueline's longest - shortest sessions

$45 - 30=15$ minutes

Step6: Calculate the difference in Cassie's longest - shortest sessions

$50 - 15 = 35$ minutes

Answer:

The difference in length between Cassie's longest and shortest practice sessions was greater than the difference in length between Jacqueline's longest and shortest sessions.