Question

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. Compute the​ mean, median, and mode time. 66.2, 71.7, 92.5, 109.4, 128.4, 94.1, 94.7, 117.8

Answer 1

To find the mean, median, and mode of the given data, let's organize the data in ascending order first:

66.2, 71.7, 92.5, 94.1, 94.7, 109.4, 117.8, 128.4

Mean:
To find the mean, we sum up all the numbers and divide by the total count. Adding the numbers:
66.2 + 71.7 + 92.5 + 94.1 + 94.7 + 109.4 + 117.8 + 128.4 = 775.8

Dividing by the count (8):
Mean = 775.8/8 = 96.975

Median:
To find the median, we locate the middle value in the data set. Since there are 8 numbers, the middle is between the 4th and 5th numbers.

94.1, 94.7, 92.5, [71.7, 109.4], 117.8, 128.4

The median is the average of the two middle numbers:
Median = (71.7 + 109.4)/2 = 180.8/2 = 90.4

Mode:
The mode is the value that appears most frequently in the data set. In this case, there are no repeating values, so there is no mode.

Mean: 96.975
Median: 90.4
Mode: No mode