Weekly expenses of students taking a business mathematics class are shown in the below table. Complete parts a through d below.
Weekly expenses of students 

8888 
4141 
7676 
155155 
6666 
8787 
9393 
8181 
5454 
7575 
8787 
9898 
8989 

9191 
8787 
9595 
101101 
9595 
8080 
9494 
5757 
7676 
8282 
8484 
105105 
124124 
a. Find the mean.
The mean is
nothing .
(Round to the nearest whole number as needed.)
b. Find the median.
The median is
nothing .
c. Find the mode. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The mode(s) is/are
nothing .
(Use commas to separate answers as needed.)
B.
There is no mode.
d. Write a statement about the data set based on your findings. Choose the correct answer below.
A.
Only the mean and mode are very close so they give a realistic view of the average of the data.
B.
Only the median and mode are very close so they give a realistic view of the average of the data.
C.
Only the mean and median are very close so they give a realistic view of the average of the data.
D.
The mean, median, and mode all equal the same value, thus, they each give a realistic view of the average of the data.
( a ) Mean :
The mean of a data set is the sum of the terms divided by the total number of terms.
Mean=Sum of terms / Number of terms
Sum of terms = 88 + 41 + 76 + 155 + 66 + ⋯+ 124 = 2261
Number of terms = 26
Mean = 2261 / 26
= 86.9615
= 87
( b ) Median :
The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.
Ordering the data from least to greatest, we get:
41 54 57 66 75 76 76 80 81 82 84 87 87 87 88 89 91 93 94 95 95 98 101 105 124 155
As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:
Median = (87+87) / 2 = 87
Median = 87
( c ) Mode :
The mode of a set of data is the value in the set that occurs most often.
Ordering the data from least to greatest, we get:
41 54 57 66 75 76 76 80 81 82 84 87 87 87 88 89 91 93 94 95 95 98 101 105 124 155
We see that the mode is 87 .
d) Option (D)
The mean, median, and mode all equal the same value, thus, they each give a realistic view of the average of the data.
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