Standard Deviation

In a population of five university students with GPAs of 2.5, 2.3, 1.7, 1.4, and 1.1, a sample of three students are considered. What would be the standard deviation of the resulting sampling distribution?

• 0.53

• 0.41

• 0.35

• 0.22

All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?

• 1

• 2

• 3

• 4

What does this symbol tell you when calculating Standard Deviation

• Add up all the squares of the differences between the data points and the mean

• Add up all the differences between the data points and the mean.

• Add up all the differences between the data points and the median.

• Add up the square roots of all the differences between the data points and the mean.

What does Standard Deviation represent?

• A measure of the Interquartile Range

• A measure of the data's range.

• A measure of the data's spread.

• A measure of the data's mean.

What does a standard deviation of 0 mean?

• There is no spread of data

• The spread of data is close to the mean

• The data is more spread out from the mean

• There is no mean

Order the dot plots from least to greatest standard deviation.

• A, D, C, B

• B, C, D, A

• A, D, B, C

• B, C, A, D

What percent of people within 3 standard deviations of the mean?

• 99.7

• 34

• 68

• 95

What percent of people within 2 standard deviations of the mean?

• 99.7

• 34

• 68

• 95

Which set of data probably has the points furthest to the mean?

• 1

• 2

• 3

• 4

The table on the right shows the statistics for the number of hours of homework per night during Term 1 and Term 2 for a group of students. What must be true?

• Term 1 students spent less time on homework than Term 2, but there was more variation in the number of hours spent on the homework.

• Term 2 students spent less time on homework than Term 1, but there was more variation in the number of hours spent on the homework.

• Term 1 students spent less time on homework than Term 2, but there was less variation in the number of hours spent on the homework.

• Term 2 students spent less time on homework than Term 1, but there was less variation in the number of hours spent on the homework.