Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 2 - Section 2.2 - Assess Your Understanding - Applying the Concepts - Page 96: 26

Answer

$47.15$% $89.76$%

Work Step by Step

Total: $22+22+3201+3332+7276+1430+130+18+1=15432$ earthquakes. The relative frequency for "0 - 0.9" is $\frac{22}{15432}\approx0.0014$ The relative frequency for "1.0 - 1.9" is $\frac{22}{15432}\approx0.0014$ The relative frequency for "2.0 - 2.9" is $\frac{3201}{15432}\approx0.2074$ The relative frequency for "3.0 - 3.9" is $\frac{3332}{15432}\approx0.2159$ The relative frequency for "4.0 - 4.9" is $\frac{7276}{15432}\approx0.4715$ The relative frequency for "5.0 - 5.9" is $\frac{1430}{15432}\approx0.0927$ The relative frequency for "6.0 - 6.9" is $\frac{130}{15432}\approx0.0084$ The relative frequency for "7.0 - 7.9" is $\frac{18}{15432}\approx0.0012$ The relative frequency for "8.0 - 8.9" is $\frac{1}{15432}\approx0.0001$ The percentage of earthquakes registered 4.0 to 4.9 is the relative frequency of the 5th class (4.0 - 4.9): $0.4715=47.15$% The percentage of earthquakes registered 4.0 to 4.9 or less is the summation of the relative frequencies of the 5th, 4th, 3rd, 2nd and 1st classes: $0.4715+0.2159+0.2074+0.0014+0.0014=0.8976=89.76$%
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