Talar has a bag with 80 colored marbles. She randomly draws 15 marbles, counts the number of purple marbles, and then replaces the marbles. She repeats this process 10 times. The following list shows the number of purple marbles Talar drew on each attempt.
9 5 10 8 13 11 9 7 8 10
What is the best estimate for the total number of purple marbles in the bag?
Responses
A 99
B 2424
C 4848
D 72
To find the best estimate for the total number of purple marbles in the bag, we can find the average number of purple marbles drawn per attempt and then multiply by the total number of attempts.
Average number of purple marbles drawn per attempt = (9 + 5 + 10 + 8 + 13 + 11 + 9 + 7 + 8 + 10) / 10 = 80 / 10 = 8
Total number of attempts = 10
Therefore, best estimate for the total number of purple marbles in the bag = 8 * 10 = 80
Answer: D) 72