How would you find the answer to part b? 12z. Use the following grouped frequenc

Question

How would you find the answer to part b?

12z. Use the following grouped frequency distribution, which shows the number of hours of special leave that 50 employees of Terp Transportation, Inc., took during the last quarter of 2006, to answer parts a and b.: Number Of Hours L Proportion M 25-29 20-24 0.04 0.22 2 2-2 2.0 5-19 H.0.20 10-14 5-9 0-4 0.04 0.24 2 2 1 2 5 a. Calculate the mean value. WORK REQUIRED. (10 points) 5"O 12 b. Set up (meaning plug values into) but do NOT calculate the formula to determine the number of hours of special leave at the 60th percentile. (5 points)

Explanation / Answer

b)

here as 60th percentile falls into bin 15-19. therefore 60th percentile =

lower limit +width*(0.6-cumulative frequency till bin)/frequency of 60th percentile bin

=15+5*(0.6- 0.54)/0.20

Bin Mid point(x) p(x) xP(x) 25-29 27 0.0400 1.080 20-24 22 0.2200 4.840 15-19 17 0.2000 3.400 10-14 12 0.0400 0.480 5-9 7 0.2400 1.680 0-4 2 0.2600 0.520 total 1 = 12.00

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