## Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education

# Chapter 3 - Data Description - 3-3 Measures of Position - Exercises 3-3 - Page 161: 22

#### Answer

For 12, percentile=$7th$ For 28, percentile=$21st$ For 35, percentile=$36th$ For 42, percentile=$50th$ For 47, percentile=$64th$ For 49, percentile=$79th$ For 50, percentile=$93rd$ 47

#### Work Step by Step

Find the percentile rank of each value. n=7, use the formula for percentile rank, we have For 12, percentile=$\frac{0+0.5}{7}\times100\approx7th$ For 28, percentile=$\frac{1+0.5}{7}\times100\approx21st$ For 35, percentile=$\frac{2+0.5}{7}\times100\approx36th$ For 42, percentile=$\frac{3+0.5}{7}\times100=50th$ For 47, percentile=$\frac{4+0.5}{7}\times100\approx64th$ For 49, percentile=$\frac{5+0.5}{7}\times100\approx79th$ For 50, percentile=$\frac{6+0.5}{7}\times100\approx93rd$ What value corresponds to the 60th percentile? $c=\frac{60\times7}{100}\approx5$ Identify the 5th value as: 47

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