Let's pretend the Work variable is normally distributed, with a mean/median/mode value of 22 and a standard deviation of 17. Based on these numbers, we can say that approximately 68 percent of students work between ______ and ______ hours per week. Select the TWO numbers below that should fit in these blanks.

0
5
15
22
27
32
39
45

68% = mean ± 1 SD

However you should note that the distribution as described cannot be normally distributed. Two SD below the mean would be negative 12. How would you get -12 of work?

5 and 22

To determine the range of hours per week that approximately 68 percent of students work, we can use the concept of the empirical rule, also known as the 68-95-99.7 rule. According to this rule, for a normal distribution:

- Approximately 68 percent of the data falls within one standard deviation of the mean.
- Approximately 95 percent of the data falls within two standard deviations of the mean.
- Approximately 99.7 percent of the data falls within three standard deviations of the mean.

Given that the mean/median/mode value is 22 and the standard deviation is 17, we can use these values to find the range.

The lower limit of the range would be the mean minus one standard deviation (22 - 17 = 5), and the upper limit of the range would be the mean plus one standard deviation (22 + 17 = 39).

So, of the given numbers, the two that fit in the blanks are:

- 5
- 39