SOLUTION: Starting with the data values 70 and 100, add three data values to the sample so that the mean is 76, the median is 83, and the mode is 83. 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 76, the median is 83, and the mode is 83. Please show all of your work.      Log On


   



Question 693174: Starting with the data values 70 and 100, add three data values to the sample so that the mean is 76, the median is 83, and the mode is 83. Please show all of your work.
Answer by stanbon(75887) About Me  (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 76, the median is 83, and the mode is 83. Please show all of your work.
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If the mode is 83, there must be at least 2 data values of 83,
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So you have 70,100,83,83,and x
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mean = (70+100+2*83+x)/5 = 76
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336+x = 380
x = 44
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The Data set is 44,70,83,83,100
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Cheers,
Stan H.