Question 1 - The GPA (grade point average) of 100 students, chosen randomly from a graduating class in the university.
(i) Draw the histogram and the relative frequency histogram.
(ii) Draw the frequency polygon and the relative frequency polygon.
(iii) Draw the "less than" ogive and the "more than" ogive.
Question 2 - Consider the following data:
|
Class Intervals
|
9.95-10.45
|
10.45-10.95
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10.95-11.45
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11.45-11.95
|
11.95-12.45
|
|
Frequencies
|
2
|
8
|
6
|
3
|
1
|
(i) Find the sample mean.
(ii) Find the sample variance and standard deviation.
(iii) Estimate the median from the grouped data.
(iv) Which is the modal class? Find the mode.
Question 3 - For households in a large town, the following information on incomes is available
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Household Income (in US dollars)
|
Relative Frequency
|
|
10,000-15,000
|
0.20
|
|
15,000-20,000
|
0.18
|
|
20,000-25,000
|
0.14
|
|
25,000-30,000
|
0.12
|
|
30,000-40,000
|
0.14
|
|
40,000-50,000
|
0.14
|
|
50,000-60,000
|
0.08
|
(i) Estimate the population standard deviation of household incomes.
(ii) Draw the histogram.
Attachment:- Assignment Files.rar