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D Question 31 1 pts How do you think the mode, median, and mean are affected whe

ID: 3071738 • Letter: D

Question

D Question 31 1 pts How do you think the mode, median, and mean are affected when the same constant is added to each data value in a set? Adding the same constant c to each data value results in the mode, median, and mean remaining the same Adding the same constant c to each data value results in the mode, median, and mean increasing by c units. Adding the same constant c to each data value results in the mode, median, and mean decreasing by c units. There is no distinct pattern when the same constant is added to each data value in a set.

Explanation / Answer

Suppose we have a data set like =(4,5,8,10,10,14,15)

So here

Mode=10

Median =10

Mean=66/7=9.42

Now adding c=2 in each value we have data set

=(6,7,10,12,12,16,17)

Now the mode=12

Median=12

Mean=80/7=11.42

So here we can see that mode median and mean has been increased by 2 unit so we can say that the answer will be

Adding the same constant c to each data value results in mode, median and mean increasing by c units .