The following data represent the amount of time (in minutes) a random sample of eight students took to complete the online portion of an exam in a particular statistics course:

67.7, 75.9, 88.3, 107.8, 128.4, 100.2, 94.7, 116.1

Compute the mean exam time.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The mean exam time is ___. (Round to two decimal places as needed.)
B. The mean does not exist.

Compute the median exam time.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The median exam time is _. (Round to two decimal places as needed.)
B. The median does not exist.

Compute the mode exam time.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The mode is ___. (Round to two decimal places as needed. Use a comma to separate answers as needed.)
B. The mode does not exist.

To calculate the mean, we add up all the values and divide by the total number of values. The sum of the given exam times is 67.7 + 75.9 + 68.3 + 107.8 + 128.4 + 1002 + 94.7 + 116.1 = 1650.9. Since there are 8 values, we divide the sum by 8 to get the mean: 1650.9 / 8 = 206.36.

The median exam time for the given data is A. 96.8 minutes.

To find the median, we arrange the data in ascending order: 67.7, 75.9, 88.3, 107.8, 128.4, 100.2, 94.7, 116.1. Since we have an even number of values, the median is the average of the two middle values. In this case, the middle values are 88.3 and 107.8. Adding them together and dividing by 2, we get (88.3 + 107.8) / 2 = 96.8.

The mode exam time for the given data is B. The mode does not exist.

The mode is the value that appears most frequently in the dataset. In this case, there is no value that appears more than once, so there is no mode.

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