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9-12 Algebra 1 Unit 1 Lesson 12

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K-5 Math 6-8 Math •9-12 Math

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•Algebra 1 Geometry Algebra 2 Extra Support Materials for Algebra 1

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 •Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16

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Unit 1, Lesson 12

Standard Deviation

Algebra 1

Practice

Problem 1

The shoe size for all the pairs of shoes in a person's closet are recorded.

7
7
7
7
7
7
7
7
7
7

What is the mean?
What is the standard deviation?

Problem 2

Here is a data set:

1
2
3
3
4
4
4
4
5
5
6
7

What happens to the mean and standard deviation of the data set when the 7 is changed to a 70?
For the data set with the value of 70, why would the median be a better choice for the measure of center than the mean?

Problem 3

Which of these best estimates the standard deviation of points in a card game?

<p>Dot plot from 490 to 510 by 5's. Points in a card game. Beginning at 490, number of dots above each increment is 1, 2, 4, 2, 1.</p>

5 points
20 points
50 points
500 points

Problem 4

ForLesson 11: Comparing and Contrasting Data Distributions

The mean of data set A is 43.5 and the MAD is 3.7. The mean of data set B is 12.8 and the MAD is 4.1.

Which data set shows greater variability? Explain your reasoning.
What differences would you expect to see when comparing the dot plots of the two data sets?

Problem 5

ForLesson 10: The Effect of Extremes

Select all the distribution shapes for which the mean and median must be about the same.

bell-shaped
bimodal
skewed
symmetric
uniform

Problem 6

ForLesson 11: Comparing and Contrasting Data Distributions

What is the IQR?

<p>Box plot from 4 to 18 by 2’s. Number of branches on 10 year old trees. Whisker from 5 to 7. Box from 7 to 14 with vertical line at 10. Whisker from 14 to 17.</p>

5 branches
7 branches
10 branches
12 branches

Problem 7

ForLesson 9: Technological Graphing

The data represent the number of cans collected by different classes for a service project.

12
14
22
14
18
23
42
13
9
19
22
14

Find the mean.
Find the median.
Eliminate the greatest value, 42, from the data set. Explain how the measures of center change.