11 3.1.016 k Your effect on the mean, median, and mode of adding the same number

Question

11 3.1.016 k Your effect on the mean, median, and mode of adding the same number to each data value. Consider the data set 1, 1, 2, 5, 9 (a) Compute the mode, median, and mean. (Enter mode median mean your answers to one decimal place.) (b) Add S to mode median each of the data values. Compute the mode, median, and mean. (Enter your answers to one decimal place.) (e) Compare the results of parts (a) and (b). In general, how each data value in a set? do you think the mode, median, and mean are affected when the same constant is added to O Adding the same constant c to each data value results in the mode, median, and mean decreasing by c units. O There is no distinct pattern when the same constant is added to each data value in a set. O Adding the same constant c to each data value results in O Adding the same constant c to each data value results in the mode, median, and the mode, median, and mean increasing by c units mean remaining the same.

Explanation / Answer

1) Mean = (1+1+2+5+9)/5 = 3.6

Median = 2

Mode = 1

Q2) Add 5 to the the no

Mean = (6+6+7+10+14)/5= 8.6

Median = 7

Mode = 6

Q3) Option C is Correct

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