Question

The following data represent the amount of time​ (in minutes) a random sample of eight students took to complete the online potion of an exam in a particular statistics course. Compute the​ mean, median, and mode time.
60.2​, 71.7​, 83.9​, 105.2​, 128.4​, 99.6​, 94.7​, 121.5   
Compute the mean exam time. Select the correct choice below​ and, if​ necessary, fill in the answer line 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 line 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 line 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.

Answer 1

Solution:-

60.2,71.7,83.9,105.2,128.4,99.6,94.7,121.5

Mean ˉx=∑x/n

=60.2+71.7+83.9+105.2+128.4+99.6+94.7+121.5/8

=765.2/8

=95.65

The mean exam time is -95.65.

Median :
Observations in the ascending order are :
60.2,71.7,83.9,94.7,99.6,105.2,121.5,128.4

Here, n=8 is even.

M=Value of(n/2)^th observation+Value of(n/2+1)^th observation/2

=Value of(8/2)^th observation+Value of(8/2+1)^th observation/2

=Value of 4^th observation+Value of 5^th observation/2

=94.7+99.6/2

=97.15

Mode :
In the given data, no observation occurs more than once.
Hence the mode of the observations does not exist, means mode=0.