Question

The number of credits being taken by a sample of 13​ full-time college students are listed below. Find the​ mean, median, and mode of the​ data, if possible. If any measure cannot be found or does not represent the center of the​ data, explain why.

9, 11, 12, 12, 9, 8, 8, 8, 10, 8, 8, 8, 9

1. Find the mean. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.The mean is __ ​(Type an integer or decimal rounded to one decimal place as​ needed.) OR

B. The data set does not have a mean.

2. Does the mean represent the center of the​ data?

A. The mean represents the center.

B. The mean does not represent the center because it is not a data value.

C. The mean does not represent the center because it is the largest data value.

D. The mean does not represent the center because it is the smallest data value.

E. The data set does not have a mean.

3. Find the median. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.The median is _. ​(Type an integer or decimal rounded to one decimal place as​ needed.) OR

B. The data set does not have a median.

E. Does the median represent the center of the​ data?

A. The​ mode(s) represent(s) the center.

4 .The​ mode(s) does​ (do) not represent the center because it​ (one) is the Largest data value.

C. The data set does not have a mode.

D.The​ mode(s) does​ (do) not represent the center because it​ (one) is the smallest data value.

E. The​ mode(s) does​ (do) not represent the center because it​ (they) is​ (are) not a data value.

Answer 1

1.

Mean =

  

2. Mean represent the center of the data.

3.

Median: Median is the value which divides the data in two equal parts. For this first we arrange the data in increasing order:

8 8 8 8 8 8    9 9    9 10    11    12    12

Here, n =13, which is the odd number. So, when the data is odd, median is computed as

Median =

And the 7th term from the above data is 9

Medain is 9

Yes, median represent the center of the data.

4. Mode: Mode is the most frequent value occur in the data.

Here Mode is 8, 9 and 12, which occur more than one time in the data.

The​ mode(s) represent(s) the center.

Note: Mean, median and mode all are the measures of central tendency, and hence represent the center of the data.