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Statistics / Elementary Statistics: A Step by Step Approach 8th ed. 8 / Chapter 3-3 / Problem 20

Elementary Statistics: A Step by Step Approach 8th ed. | 8th Edition | ISBN: 9780073386102 | Authors: Allan G Bluman Professor Emeritus

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Airplane Speeds (ans) The airborne speeds in miles per

Chapter 3, Problem 20

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QUESTION:

Airplane Speeds (ans) The airborne speeds in miles per hour of 21 planes are shown. Find the approximate values that correspond to the given percentiles by constructing a percentile graph. Class Frequency 366386 4 387407 2 408428 3 429449 2 450470 1 471491 2 492512 3 513533 4 21 Source: The World Almanac and Book of Facts. a. 9th 375 d. 60th 477 b. 20th 389 e. 75th 504 c. 45th 433

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QUESTION:

Airplane Speeds (ans) The airborne speeds in miles per hour of 21 planes are shown. Find the approximate values that correspond to the given percentiles by constructing a percentile graph. Class Frequency 366386 4 387407 2 408428 3 429449 2 450470 1 471491 2 492512 3 513533 4 21 Source: The World Almanac and Book of Facts. a. 9th 375 d. 60th 477 b. 20th 389 e. 75th 504 c. 45th 433

ANSWER:

Step 1 of 5

(a) Determine the number of values smaller than the percentile

We note that the value has to be in the first class (cumulative frequency of first class is ).

The corresponding cost is then the lower class limit increased by the rank of the percentile within the class divided by the frequency of the class and multiplied by the width of the class

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