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Find the median, the quartiles, and the extremes.
EXAMPLE 1 Making a Box-and-Whisker Plot Roller Coasters The heights, in feet, of 10 suspended roller coasters in the United States are 35, 42, 42.5, 60, 60, 70, 76, 78, 81, and 100. Make a box-and-whisker plot of the data. SOLUTION STEP 1 Find the median, the quartiles, and the extremes.
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Plot the five values below a number line.
EXAMPLE 1 Making a Box-and-Whisker Plot STEP 2 Plot the five values below a number line. STEP 3 Draw a box connecting the quartiles. STEP 4 Draw a vertical line through the median. STEP 5 Draw “whiskers” from the box to both extremes
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EXAMPLE 2 Interpreting a Box-and-Whisker Plot Watches The prices of the watches at a store are summarized in the box-and-whisker plot below. a. Suppose all of the watches under $31 are on clearance.About what fraction of the watches are on clearance? b. Suppose all of the watches from $31 to $71 are on sale. About what fraction of the watches are on sale?
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EXAMPLE 2 Interpreting a Box-and-Whisker Plot SOLUTION a. The watches less than $31 are about the same as the number in one of the whiskers, which represents about one quarter of the watches. b. The watches between $31 and $71 are about the same as the number in the large box of the plot, which represents about half of the watches.
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GUIDED PRACTICE for Examples 1 and 2 1. One weekend, a theater sold the following numbers of tickets to each screening of a new movie. Make a box-and-whisker plot of the data. 497, 429, 746, 469, 504, 464, 326, 302, 509, 467, 401, 499 302 415 501.5 746 468
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GUIDED PRACTICE 2. What If?
for Examples 1 and 2 2. What If? In Example 2, suppose all of the watches under $45 were on clearance. About what fraction of the watches are on clearance? ANSWER 50%
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GUIDED PRACTICE for Examples 1 and 2 3. In Example 2, is the number of watches between $71 and $120 greater than the number of watches between $16 and $31? Explain. ANSWER No , it should be the same because the watches between $71 and $120 represent about 25% of the watches and the watches between $16 and $31 also represent about 25% of the watches.
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