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Question

You have 20 minutes to answer the following questions. to get full credits. Formula Relative Frequency = Frequency + sample size Mean: X = sigma X_1/n Sample Variance: x^2 = sigma (x_1 - x)^2/n - 1 Population Variance: sigma^2 = sigma (x_1 - x)^2/N Sample Standard Deviation x = Squareroot s^2 Population Standard Deviation sigma = Squareroot sigma^2 Consider the following frequency distribution. This distribution provides information about the approximation of the annual gross increase in the United States. a. Complete the relative frequency column and the commutative frequency column. b. What percent of the observations earned between $25,000 and 74,000?

Explanation / Answer

First complete the table ..

Relative frequency = class frequency / Total frequency

Cumulative frequency =previous class fequency + current class frequency

b)

percentage of observation between 25,000 to 74,000 = (relative frequency of class 25-49 + relative frequency of class 50-74 ) * 100

=(0.259843+0.15748 )*100

=0.417323*100

=41.73%

class frequency Relative frequency Cumalative frequency 0-24 60 0.472441 60 25-49 33 0.259843 93 50-74 20 0.15748 113 75-99 6 0.047244 119 100-124 4 0.031496 123 125-149 2 0.015748 125 150-174 1 0.007874 126 175-199 1 0.007874 127 Total 127

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