SOLUTION: Starting with the data values 70 and 100, add three data values to the sample so that the mean is 90, the median is 87, and the mode is 87. Please show all of your work.

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 90, the median is 87, and the mode is 87. Please show all of your work.      Log On


   

Question 613810: Starting with the data values 70 and 100, add three data values to the sample so that the mean is 90, the median is 87, and the mode is 87. Please show all of your work.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the mode is the most frequently occurring value so two 87's are added

the median is the "middle value" (equal number of terms above and below); so that's the 2nd 87

70 + 87 + 87 + 100 + x = 5 * 90 ___ x = 106

70, 87, 87, 100, 106