Question 617168: Starting with the data values 70 and 100, add three data values to the sample so that the mean is 86, the median is 82, and the mode is 82. Please show all of your work.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Starting with the data values 70 and 100, add three data values to the sample so that the mean is 86, the median is 82, and the mode is 82. Please show all of your work.
:
from the information given, we know two of the numbers are 82 (mode)
Let the 3rd number be x
:
Mean:
 = 86
add, mult both sides by 5
334 + x = 5(86)
x = 430 - 334
x = 96 is the 3rd number
therefore, number group will be
70, 82, 82, 96, 100
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