Name:__________________________________
Date:_______________
AP Statistics
Random Rectangles Activity
Judgment Sample – Select 5 rectangles that, in your judgment, are representative of the rectangles on
page 2. Record the size of your five rectangles and find their mean.
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mean = ______
Simple Random Sample (SRS) – Number the rectangles on page 2 from 1 to 100. Use a random number
table to choose five rectangles at random. Locate the corresponding rectangles and record their size and
find the mean.
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mean = ______
Cluster Random Sample – The rectangles on page 2 have been reproduced on page 3 with lines drawn
every 2 inches dividing the rectangles into five regions. Number the regions 1 to 5. Use a random
number table to choose one region. In that region, number the rectangles. Use a random number table to
choose five rectangles at random in the chosen region. Locate the corresponding rectangles and record
their size and find the mean.
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mean = ______
Stratified Sample – Suppose one shakes the rectangles, causing the larger ones to sink and the smaller
ones to rise. The rectangles on page 4 are the result with lines drawn dividing the rectangles into five
regions. Number the rectangles in each region separately starting with one. Use a random number table
to choose one rectangle at random from each region. Locate the corresponding rectangles and record their
size and find the mean.
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mean = ______
Systematic Sample – Use a random number table to choose a number between 1 and 20. This is the first
rectangle. Now add 20 to each previous number to find the other four rectangles. Using the rectangles on
page 2, locate the corresponding rectangles and record their size and find the mean.
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mean = ______
Random Rectangles
pg.2
Random Rectangles
pg.3
Random Rectangles
pg.4
Analysis/Discussion:
Simple Random Sample:
Description of Method:
Advantages:
Disadvantages:
Cluster Random Sample:
Description of Method:
Advantages:
Disadvantages:
Stratified Sample:
Description of Method:
Advantages:
Disadvantages:
Systematic Sample:
Description of Method:
Advantages:
Disadvantages: