Grade 11 · Math · Algebra 2

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

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Standard deviation of a whole group and of a sample

Grade 11 Math Worksheet - Building Confidence

NameDate

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

All 5 of Ari's soccer practices this week are timed. The squared distances from the mean add to 80. What is the standard deviation of this whole group?
Bo weighs all 4 pumpkins grown in a small garden patch. The squared distances from the mean add to 144. What is the standard deviation of this whole group?
3.
Using the dot plot, how far is the value 9 from the mean, Jun?
- 6
- 9
- 3
4.
Using the dot plot, what is the sum of the squared deviations, Kira?
Use the picture in question 3.
- 20
- 0
- 8
5.
Using the dot plot, why does Luz square the deviations before adding?
Use the picture in question 3.
- To count the values twice
- To make the mean come out bigger
- So minus and plus don't cancel
6.
Milo measures the heights of all 28 students in a class to describe that class. Whole group or sample?
- Sample: divide by n − 1
- Neither one
- Whole group: divide by n
7.
Noah asks 50 shoppers how far they walked, to learn about a whole town. Whole group or sample?
- Neither one
- Sample: divide by n − 1
- Whole group: divide by n
8.
Two of Ren's data sets have the same mean, but one has a larger SD. What does that show?
- It has a larger mean value
- It has more values
- Its values are more spread out
9.
Tala's data set has a standard deviation of 0. What must be true?
- The mean is 0
- There is just one value in it
- Every value is the same
10.
Zee's data are times in minutes. What units is the standard deviation in?
- No units of any kind
- Minutes
- Minutes squared

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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