Ten teachers each had a jar of jelly beans. The jars had this number of jelly beans in each respective jar: 50, 60, 80, 80, 100, 100, 100, 120, 120, and 140. What is the mean of these data?

Rationale

The mean of the jelly beans in the jars is 90.

To find the mean, we sum all the jelly beans and divide by the number of jars. The total number of jelly beans is 900, and dividing this by 10 jars gives a mean of 90.

A (90) CORRECT

This choice is correct because the mean is calculated by adding all values (50 + 60 + 80 + 80 + 100 + 100 + 100 + 120 + 120 + 140 = 900) and dividing by the number of values (10), resulting in 900 / 10 = 90.

B (100) YOUR ANSWER

This choice is incorrect because it misrepresents the calculated mean. While 100 is one of the values present in the data set, it does not reflect the average when all values are summed and divided appropriately.

C (120) YOUR ANSWER

This option is incorrect as it overestimates the mean. Although 120 is the maximum value present in the data set, the mean is derived from the total jelly beans divided by the number of jars, which results in a lower average.

D (80) YOUR ANSWER

This choice is also incorrect, as it underestimates the mean. While 80 appears twice in the data set, the overall average calculated from all jars is significantly higher than this value, leading to a mean of 90.

Conclusion

The mean jelly bean count across the jars is determined by the sum of all jars divided by the total number of jars. With a total of 900 jelly beans across 10 jars, the mean is correctly calculated as 90. This average effectively summarizes the data set, highlighting the central tendency of the jelly bean quantities among the teachers.

Ten teachers each had a jar of jelly beans. The jars had this number of jelly beans in each respective jar: 50, 60, 80, 80, 100, 100, 100, 120, 120, and 140. What is the mean of these data?

The mean of the jelly beans in the jars is 90.

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