Answer the following questions
All questions are compulsory and each question carries equal marks-
I:- Define Statistics and explain the characteristics & Uses of Statistics.
ll:- what is a statistical error? In what way does it differ from a mistake? Explain the difference between absolute and relative errors.
I:- Describe the methods which can be used in the collection of statistical data. stating the advantages and disadvantages of each method.
II:- What is the meant by a frequency distribution? Describe briefly the main steps in the preparation of frequency table from the raw data.
I:- Represent the total expenditures on various items of a family by a pie diagram
|
Items
|
Food
|
House Rent
|
Misc. |
Fuel |
Education |
|
Expenditure (in lts,)
|
55
|
20 |
33 |
20 |
17 |
II:- Describe the Graphical methods used in Statistics, giving their respective advantages and disadvantage also draw up a list of rules for construction of graphs.
I. Compute the Median, Quartiles, Deciles and percentiles of the following Data
|
Heights (Inches)
|
57.5-
|
60.0-
|
62.5-
|
65.0-
|
67.5-
|
70.0-
|
72.5-
|
|
Number
|
6
|
26
|
190
|
281
|
412
|
127
|
38
|
II:- Find A,M,G,M,H,M of the series 1, 3, 9. 27, 81, 3.
I:- Find the A,M, G,M H,M Median and Mode of the following frequency distribution.
|
Variable
|
35.39
|
40-44
|
45-49
|
50-54
|
55-59
|
60-64
|
65.69
|
|
Frequency
|
15
|
17
|
35
|
11
|
10
|
15
|
10
|
II:- Describe the advantages and disadvantages of mean Median and Mode. Explain the maniacal relation between them.