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9-12 Extra Support Materials for Algebra 1 Unit 1 Lesson 4

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Extra Support Materials for Algebra 1

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Lesson 4

4.1 Warm-up 4.2 Activity 4.3 Activity

Unit 1, Lesson 4

The Shape of Data Distributions

Extra Support Materials for Algebra 1

4.1

Warm-up

Mentally find the distance between the two values on a number line.

70 and 62
70 and 70
70 and 79
70 and 97

4.2

Activity

For each picture and description:

Do you agree or disagree with the description?
If you agree, explain how you know it is correct.
If you disagree, explain the error and write the correct description. Explain how you know it is correct.

The distribution is bell-shaped since there is a central peak for symmetric data that is less frequent on the ends.
The distribution is symmetric because if the distribution were cut in half, both sides would be the same shape.
The distribution is uniform because there seems to be the same amount of data points across the entire distribution.
The distribution is symmetric because if the distribution were cut in half, both sides would be the same shape.
The distribution is skewed left since most of the data is on the left side of the distribution.

4.3

Activity

Describe the shape of each distribution using the term ”approximately,” “symmetric,” “bell-shaped,” “skewed left,” “skewed right,” “uniform,” or “bimodal.” Estimate the center of each distribution.

<p>Dot plot from 20 to 80 by 20’s. 27, 1 dot. 35, 1 dot. 42, 9 dots. 51, 25 dots. 62, 9 dots. 75, 2 dots. 83, 1 dot.</p> — A

<p>Histogram from 4 to 9 by 1’s. Beginning at 4 up to but not including 4 point 5, height of bar at each interval is approximately 5, 40, 50, 4, 3, 10, 35, 55, 57, 25, 3.</p> — B

<p>Dot plot from 10 to 50 by 10’s. Beginning at 10, number of dots above each increment is 4, 4, 4, 4, 4.</p> — C

<p>Dot plot from 0 to 18 by 1’s. Beginning at 0, number of dots above each increment is 0, 1, 3, 2, 5, 3, 4, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1.</p> — D

<p>Histogram from 0 to 18 by 2’s with hash marks at 1’s. Beginning at 0 up to but not including 1, height of bar at each interval is 10, 10, 10, 9, 11, 10, 11, 11, 10, 10, 10 12, 11, 10, 10, 10, 10, 11.</p> — E

<p>Histogram from 0 to 12 by 2’s with hash marks at 1’s. Beginning at 0 up to but not including 1, height of bar at each interval is 4, 8, 16, 20, 14, 10, 6, 12, 15, 19, 16, 9, 4.</p> — F

<p>A dot plot from 1 to 6.</p> — G

<p>Histogram from 0 to 11. Bar width is 1. Beginning at 0 up to but not including 1, height of bar at each interval is 5, 13, 29, 26, 9, 7, 2, 0, 2.</p> — H

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