Standard Deviation

What does this symbol represent?

• Standard Deviation
• Variance
• Mean Absolute Deviation
• Sigma

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.4

Which of the following is a measure of spread, or variability?

(select all that apply)

• Interquartile Range

• Standard Deviation

• Mean

• Median

• Range

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

What does standard deviation represent?

• How many different variations are in the data set.

• How the population varies compared to the sample.

• How spread out each data value is from the mean.

• The range, but with a bunch of other stuff going on.

Tags

CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.4

Four data sets are shown below.

Set 1: {10, 19, 38, 50, 51}

Set 2: {5, 21, 26, 39, 51}

Set 3: {9, 38, 50, 50, 51}

Set 4: {5, 28, 28, 28, 51}

Which data set has the largest standard deviation?

use your handheld calculator

• Set 1

• Set 2

• Set 3

• Set 4

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

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

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 furthest to the mean?

• 1
• 2
• 3
• 4

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

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.

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

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.

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

The chart on the left shows the statistics on test scores in period 1 and period 5. Which is true?

• The average test score is higher for period 5, but the data is more spread out.

• The average test score is higher for period 1, but the data is more spread out.

• The average test score is higher for period 5, and the data is more consistent (closer to the mean) than period 1.

• The average test score is higher for period 1, and the data is more consistent (closer to the mean) than period 5.

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

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

• True

• False

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3