Standard Deviation and Variance

The number of miles that Jenna cycled each week for a 7-week period is shown: 
36, 42, 28, 52, 48, 36, 31 
What is the median number of miles Jenna cycled?

• 24
• 36
• 39
• 52

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

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

CCSS.6.SP.B.5

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.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

This data is normally distributed.  What percent of the data is in the shaded region?

• 68%
• 95%
• 99.7%
• 50%

Tags

CCSS.6.SP.A.2

CCSS.6.SP.B.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?

• Set 1
• Set 2
• Set 3
• Set 4

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

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

• 2
• 16
• 4

Tags

CCSS.6.SP.A.3

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.1

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

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.IC.A.1

CCSS.HSS.ID.A.2

The number of goals scored by seven forwards in one soccer season were 8, 6, 4, 8, 3, 1, and 5. Find the mean number of goals scored by the seven forward

• 20
• 10
• 3
• 5

Tags

CCSS.6.NS.B.2

CCSS.6.NS.B.3

CCSS.6.SP.A.3

CCSS.6.SP.B.5

What is the variance for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2

• 47.47
• 102.01
• 52.77
• 81

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5