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EXAMPLE 1

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.

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EXAMPLE 1

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  1. 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.

  2. STEP 3 STEP 4 STEP 5 Draw a box connecting the quartiles. Draw a vertical line through the median. Draw “whiskers” from the box to both extremes EXAMPLE 1 Making a Box-and-Whisker Plot STEP 2 Plot the five values below a number line.

  3. 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? 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.

  4. a. The watches less than $31are about the same as the number in one of the whiskers, which represents about one quarter of the watches. The watches between $31 and $71are about the same as the number in the large box of the plot, which represents about halfof the watches. b. EXAMPLE 2 Interpreting a Box-and-Whisker Plot SOLUTION

  5. 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. 1. 497, 429, 746, 469, 504, 464, 326, 302, 509, 467, 401, 499 300 400 500 600 700 800 302 415 468 501.5 746 for Examples 1 and 2 GUIDED PRACTICE

  6. 2. What If? ANSWER 50% for Examples 1 and 2 GUIDED PRACTICE In Example 2, suppose all of the watches under $45 were on clearance. About what fraction of the watches are on clearance?

  7. 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. for Examples 1 and 2 GUIDED PRACTICE

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