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8. Some characteristics of annually family income distribution (in Birr) in two regions is as
follows:
Region Mean Median Standard Deviation
A 6250 5100 960
B 6980 5500 940
a) For which region is the income more consistent?
b) If a household X from region A has an annual family income of 5800 birr and a
household Y from region B has an annual family income of 6200 birr. Relatively
speaking, which household earns higherannual income?
Icome No. of persons
100-200 15
100-300 33
100-400 63
100-500 83
100-600 100
The following data on income in the form of cumulative frequency distribution is given:
Find (a) construct a complete Grouped
Frequency table
(b) Draw the appropriate graph
(c) The mean
(d) The median and all quartiles
(e) The 2nd and the 8
th deciles
(f) The 40th and the 90th percentiles
a) Determine the missing frequencies of the following distribution given that the median
is 33.5 and themode is 34.0.
Class limits 0-9 10-19 20-29 30-39 40-49 50-59 60-69 Total
Freq. 4 16 f3 f4 f5 6 4 230
b) Compute the arithmetic mean.
c) Compute the value below which 25% of the observations lie.
d) Compute the value above which 25% of the observations lie
In a certain investigation, 460 persons were involved in the study, and based on an enquiry on their age, it was known that 75% of them were 22 or more. The following frequency distribution shows the age composition of the persons under study.Mid-age in years1318232833384348Number of persons24f190122f2562033a)Find the median and modal life of condensers and interpret them.b)Find the values of all quartiles.c)Compute the 5thdecile, 25thpercentile, 50thpercentile and the 75thpercentile and interpret the results.d)Find variance and standard deviation of the data.
Question: What is the Pearson product moment coefficient r. ?
x 12 14 10 12 14 15 12 11 11 10
y 45 60 25 25 70 45 50 50 60 70
Question: Intrepret the degree of association. ?
In a certain investigation, 460 persons were involved in the study, and based on an enquiry on their age, it was known that 75% of them were 22 or more. The following frequency distribution shows the age composition of the persons under study
Find y² in the set of given below;
x 12 14 10 12 14 15 12 11 11 10
y 45 60 25 25 70 45 50 50 60 70
Find 90% confidence interval for the mean of normal distribution if a sample of size 7 gave the values 9,16,10,14,8,13,14
Keith’s Florists has 15 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 15 trucks, 6 have
brake problems. A sample of five trucks is randomly selected. What is the probability that two of those tested have defective brakes?
during a countrywide investigation
