Question

What would be a good estimate of the mean for the data shown below?

Test Scores
Stem Leaves
6 8
7 0
8 0, 6, 8, 8,
9 6, 6, 7, 7, 8, 8, 9
10 0, 0, 0, 0, 0
60 = 60 years old

a. 68
b. 100
c. 90
d. 80

Answer 1

To estimate the mean of the provided test scores, all scores were added and then divided by the total number of scores, resulting in a mean of approximately 81.5. The closest estimate among the given options is 80. The correct option is (d).

Step-by-step explanation:

The student asked for a good estimate of the mean for a set of test scores represented in a stem and leaf plot. To find the mean, we add all the scores together and then divide by the number of scores. For the provided data, we calculate the mean as follows:

• Add all the test scores together: 60 + 70 + 80 + 80 + 86 + 86 + 87 + 87 + 88 + 88 + 89 + 100 + 100 + 100 + 100 + 100 = 1304
• Count the number of test scores: 16
• Divide the total by the number of scores to get the mean: 1304 / 16 = 81.5

Therefore, a good estimate for the mean of the data would be around 80, which is the closest estimate to 81.5 among the provided choices.