Question

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4. Find the mean and the standard deviation of the following frequency distribution table: Class Limits 24-29 30-35 36-41 42-47 Class Boundaries 23.5-29.5 29.5-35.5 35.5-41.5 41.5-47.5 Class Midpoint 26.5 32.5 38.5 44.5 Class Frequency 4 9 15 2 Cumulative F. 4 13 28 30 Mean: Standard Deviation: 5. Nurses monthly salaries have a bell shaped distribution with x = $6400 with S = $300. a. Find the 68% and 95% range b. Abby made $10,000 for July. Find: i. Z-score: ii. Was that usual?

Answer 1

Ezt 4. meana (26:5*4)+(2205*9)+ (3815X15) + [ 4.405x2) 30 35.5 standard deviation {(x-xorf n-1 Class f 2 x x (ană g (x-sort 24-29 4 265 - ។ 81 324 30-35 9 32'5 - 3 81 36-41 15 38'5 9 135 42-47 2 4405 9 8) 162 702 i standard deviation 702 36-1 702 29 ~ 4.92

5. @) aoh 9. S - до о) is 68 . range { [e4oo - Зоо) {v} (64 oo +202) ire 3 (102 » ¢ btоо. 95% range 5 (casХt+ aqh9) } 1 (L400 2x300) 3, 4(44oo : boo) » (ао 9 + aah 9) $ 1. 500 to Qaa4 $ (О х = 9 10, ооо 10000 - 64DD 1) 2- scove - 20 Б (1 12. й) This is unusual %ли 1 Scov. 71-9..

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