Question 476495: Starting with the data values 70 and 100, add three data values to the sample so that the mean is 91, the median is 73, and the mode is 73. Please show all of your work
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Since we "add three data values to the sample" and "the mode is 73" this means that we MUST add 2 copies of 73 (to ensure that the mode is 73).
Note: if we add 3 copies of 73, then the mean won't come out to 91. Also, if we add only one copy of 73, then the mode won't be 73.
So we now have 70, 73, 73, 100
Now we must ensure that the mean is 91. So add up the values (along with a fifth number x) and divide that sum by 5 to get 91 like so
Now solve for x
So the last data value to add is 139
So the three data values to add are: 73, 73, and 139
Giving us the final set of values to be: 70, 73, 73, 100, 139
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