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Algebra 1 | Unit 1 | Lesson 12: Standard Deviation | Practice Problems

Total questions: 12

Worksheet time: 29mins

Name
Class
Date
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?

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2.

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 standard deviation?

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3.

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?

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4.

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?

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5.

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

a)

5 points

b)

20 points

c)

50 points

d)

500 points

6.

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.

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7.

What differences would you expect to see when comparing the dot plots of the two data sets?

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8.

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

a)

bell-shaped

b)

bimodal

c)

skewed

d)

symmetric

e)

uniform

9.

What is the IQR?

a)

5 branches

b)

7 branches

c)

10 branches

d)

12 branches

10.

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.

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11.

Find the median.

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12.

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

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