Standard Deviation

What is the standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

• 6.89

• 10.1

• 7.26

• 9

What does this symbol represent?

• Standard Deviation
• Variance
• Mean Absolute Deviation
• Sigma

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

• 193
• 127
• 60
• 66

Tags

CCSS.7.NS.A.1C

What is the standard deviation for the data given:
{12, 13, 29, 18, 61, 35, 21}

• 293.67
• 15.87
• 17.14
• 41.98

Find the mean of these numbers:
5,11,2,12,4,2

• 4.1
• 6
• 4.5
• 4

Tags

CCSS.7.NS.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 closest to the mean?

• 1
• 2
• 3
• 4

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

• 68%
• 95%
• 99.7%
• 50%

Tags

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?

• 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?

• Set 1

• Set 2

• Set 3

• Set 4

Answer explanation

Standard deviation is spread about the mean so the data set with the smallest standard deviation is going to have its data points closest to the mean.

Which dotplot has the smallest standard deviation?

• Dotplot A

• Dotplot B

• Dotplot C

• Dotplot D

Answer explanation

Standard deviation is spread about the mean/center. To find the smallest standard deviation we are looking for the dotplot that has the bulk of its data concentrated around the mean/center and the least spread out data.