In this problem, we explore the effect on the mean, median, and mode of adding the same number to each data value. Consider the data set 2, 2, 3, 6, 10.

(a) Compute the mode, median, and mean. (Enter your answers to one decimal place.) mode median mean

(b) Add 5 to each of the data values. Compute the mode, median, and mean. (Enter your answers to one decimal place.) mode median mean

(c) Compare the results of parts (a) and (b). In general, how do you think the mode, median, and mean are affected when the same constant is added to each data value in a set?

1. There is no distinct pattern when the same constant is added to each data value in a set.
2. Adding the same constant c to each data value results in the mode, median, and mean decreasing by c units.
3. Adding the same constant c to each data value results in the mode, median, and mean increasing by c units.
4. Adding the same constant c to each data value results in the mode, median, and mean remaining the same.