Standard Deviation for Grouped Data

Given the data find the POPULATION standard Deviation

• 14.1

• 20.2

• 14.0

• 13

For the following data find the SAMPLE standard Deviation

• 20.2

• 13

• 14.1

• 13.99

If the standard deviation of a data set is 4, what is the variance?

• 2

• 16

• 4

What is the standard deviation of the data?

• 0.88 cm

• 0.90 cm

• 0.94 cm

• 1.02 cm

Given a variance of 64, what is the standard deviation?

• 8

• 4096

• 0

• 6.8

What does this symbol represent?

• Standard Deviation

• Variance

• Mean Absolute Deviation

• Sigma

Which of the following is a measure of spread, or variability? (select all that apply)

• Interquartile Range

• Standard Deviation

• Mean

• Median

• Range

Sylvia believes that the students in Term 2 had a higher average number of minutes of exercise than Term 1 because the IQR and Standard Deviation is higher for that group of students. Do you agree?

• Sylvia is correct. Since the standard deviation and IQR for Term 2 students is higher, this means that students spent more time exercising, on average, than Term 1.

• Sylvia is incorrect. The standard deviation and the IQR shows that there is greater variability in the amount of time exercising for Term 2 students compared to Term 1, but it does not tell us that the group spent more time exercising than Term 1.

The ages of the employees at Company A tend to be closer together, than those at Company B.

• True

• False

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.