SOLUTION: Starting with the data values 70 and 100, add three data values to the sample so that the mean is 74, the median is 85, and the mode is 85.

Algebra ->  Probability-and-statistics -> SOLUTION: Starting with the data values 70 and 100, add three data values to the sample so that the mean is 74, the median is 85, and the mode is 85.      Log On


   

Question 481827: Starting with the data values 70 and 100, add three data values to the sample so that the mean is 74, the median is 85, and the mode is 85.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Sorry I misinterpreted your problem the first time.  This is correct:

The median of a odd number of numbers is right in the middle. So
we just have two blanks to fill in

__, 70, 85, __, 100

If these numbers are from smallest to largest, then to make 85 the
mode we have to put in another 85, so there will be more 85's than
anything else.  So now we have:

__, 70, 85, 85, 100

Since the mean must be 74, the sum of all 5 numbers has to 
be 5×74 or 370.  The ones we already have add up to 

70+85+85+100 = 340

so we have to put 370-340 or 30 in the blank on the far left.  So the answer
is

30, 70, 85, 85, 100

Edwin