Grade 11 · Math · Algebra 2

11th grade Standard deviation of a whole group and of a sample worksheet

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Standard deviation of a whole group and of a sample

Grade 11 Math Worksheet

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Circle the best answer, or write your answer on the line.

Ari times 5 randomly chosen school-bus rides to learn about all the rides. The squared distances from the sample mean add to 64. What is the sample standard deviation?
2.
Why does Jun divide by n − 1 for a sample?
- It makes the mean exact
- A sample tends to understate the spread
- Samples hold one bad value each
3.
For the same data, how does Kira's s compare with σ?
- s is a little larger
- s is a little smaller
- They are exactly equal
4.
Luz has 400 values. How different are s and σ?
- σ is twice s
- s is twice σ
- Almost the same
5.
A coach times all 12 players on Milo's team to describe this team. Which formula fits?
- Divide by n
- Divide by n − 1
- Divide by 2
6.
Noah measures 20 fish from a lake to describe all the lake's fish. Which formula fits?
- Divide by n − 1
- Divide by 20 squared
- Divide by n
7.
Pia checks 30 bottles from a factory's 5,000 made today. Which formula fits the 30?
- Divide by 5,000
- Divide by n
- Divide by n − 1
8.
Set A is 4, 5, 6 and set B is 1, 5, 9. Which has the larger SD, Ren?
- They tie
- Set B
- Set A
9.
Tala adds 10 to every value in a data set. What happens to the SD?
- It grows by 10
- It grows by 100
- It stays the same
10.
Zee doubles every value in a data set. What happens to the SD?
- It stays the same
- It is multiplied by 4
- It doubles

Standard deviation of a whole group and of a sample. Every version has 10 questions, and the answer key prints on the second page.

I can find a whole group's standard deviation by dividing the sum of squared distances by n.
I can find a sample's standard deviation by dividing by n − 1, and say why.
I can decide from a story whether the data are a whole group or a sample.
I can say how shifting or stretching the data changes the spread.

Standard: S-ID.A.2

standard deviation: A typical distance of the values from the mean

population (whole group): Every member is measured; σ, divide by n

sample: Some members stand in for all; s, divide by n − 1

deviation: A value minus the mean

variance: The SD squared

Your child divided by n − 1 for a whole group. When every member is measured, divide by n; n − 1 is only for a sample.

Your child divided by n for a sample. A sample's spread is found by dividing by n − 1.

Your child used one rule for every set of data. Divide by n for a whole group and by n − 1 for a sample.

What is the most common mistake with standard deviation of a whole group and of a sample?

Your child divided by n − 1 for a whole group. When every member is measured, divide by n; n − 1 is only for a sample.

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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