Standard Deviation

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

(select all that apply)

• Interquartile Range

• Standard Deviation

• Mean

• Median

• Range

Tags

CCSS.6.SP.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

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 https://technology.cpm.org/general/stats/

• Set 1
• Set 2
• Set 3
• Set 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

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

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.IC.A.1

Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the sample standard deviation of Ervin's scores?

• 511.33

• 22.61

• 438.48

• 20.94

Tags

CCSS.6.SP.A.3

CCSS.6.SP.A.1

CCSS.6.SP.A.2

CCSS.6.SP.B.5

Which of the following is a measure of variability?

• mean
• median
• mode
• standard deviation

Tags

CCSS.6.SP.A.3

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?

• 5
• 6
• 9
• 11

Tags

CCSS.6.SP.B.5C

The masses of six children are 34.5 kilograms, 42.6 kilograms, 39.8 kilograms, 40.1 kilograms, 53.4 kilograms, and 33.8 kilograms. Find the mean mass.

• 40.7 kg
• 40
• 41
• 50

Tags

CCSS.6.SP.B.5C

To find the _________ you add up all the numbers and then divide by how many numbers you have.

• Mean
• Median
• Mode
• Range

Tags

CCSS.6.SP.B.5C