Starting with the data values 70 and 100, add three data values to the sample so that the mean is 81, the median is 91, and the mode is 91.

How do i do this??

6 answers

If the mode (most frequently occurring score) = 91, at least 2 of the scores = 91. You only need to find one more score. Use the mean.

81 = (x+70+91+91+100)/5

Solve for x.

To check, it should still lead to a median of 91.
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81 = (x + 352)/5
81 = 352x/5
81 = 70.4x
x = 1.15??
Did i do that correctly??
No, X+352 ≠ 352x

81 = (x + 352)/5

Multiply both sides by 5, then subtract 352 from both sides.
oh....so i get x = 53??