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
Answers
GPT 3.5
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
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