4 or 5 Instructor: Steven Castillo Find the median number of automobiles per fam

Question

4 or 5

Instructor: Steven Castillo Find the median number of automobiles per family by using the frequency distribution in the following table. Use the Weibull method Section #1307 0 14 10 9 9 5) Find the mode of the following grouped frequency distribution. Use the linear interpolation formula for mode Class 20-25 25-30 30-35 35-40 40-45 45-50 50-55 55-60 14 6 27 13 9 6) Compute the mean of the following stem-leaf distribution. Stem Leaf 3 2 4 023 4 5 13 4455689 6 025 7 036 8 8 125 The stem units are 10. Show each number (write out at least three numbers) used in the formula for computing the mean. #7

Explanation / Answer

4

Estimated Mode = L + fm fm-1 /(fm fm-1) + (fm fm+1) × w

where:

In this example:

mode = 40+ (27-6)/ [(27-6)+(27-13)] x 5 = 43

X f Cumm Cumm % 0 2 2 3.508772 1 5 7 12.2807 2 14 21 36.84211 3 10 31 54.38596 median 4 8 39 68.42105 5 9 48 84.21053 6 9 57 100

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