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 - Challenge Me

NameDate

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

Ari logs piano practice on 4 random days: 3, 5, 7 and 9 minutes, with mean 6. These are a sample. What is the sample standard deviation?
Bo counts birds at a feeder on 4 random mornings: 10, 12, 14 and 20, with mean 14. These are a sample. What is the sample standard deviation?
Esme times 4 random jump-rope rounds: 2, 4, 8 and 10 seconds, with mean 6 (one round had a giggle break). These are a sample. What is the sample standard deviation?
4.
A whole group's data are 2, 4, 4, 4, 5, 5, 7, 9, with mean 5. What is σ, Jun?
- 2.14
- 2
- 4
5.
Kira's whole-group variance is 9. What is σ?
- 3
- 81
- 4.5
6.
Which of Luz's data sets has σ = 0?
- 0, 0, 1, 1
- 1, 2, 3, 4
- 6, 6, 6, 6
7.
Milo says a sample of 10 values should divide by 10. Agree or disagree?
- Disagree: a sample divides by 9
- Agree: divide by how many values there are
- Agree: 10 is a round number
8.
Ren's sample of reading times has mean 20 minutes and s = 3 minutes. How many SDs above the mean is 26 minutes?
- 3
- 2
- 6
9.
Two classes have the same mean quiz score, with s = 2 and s = 8. Which is more consistent, Tala?
- The class with s = 2
- They are equal
- The class with s = 8
10.
In Zee's data, one value moves farther from the mean while the mean stays put. What happens to the SD?
- It decreases
- It stays the same
- It increases

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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