Blueprint
Unit
1
2
3
4
5
6
7
8
9
10
Total
Marks
10
5 Mark
1 Mark 2 Mark 5 Mark Mark
Practical
1
1
1
1
1
1
2
2
1
2
2
1
2
2
1
2
1
1
2
1
1
1
1 N/A
1
1
2
2
0.5
1
1
1
0.5
12
12
12
4
12
24
60
40
Important
1.
2.
3.
4.
This model paper is designed based on the subject blueprint.
Answer the questions once without choice.
Answer again with choice but keep the time limited to 3 hours.
You can spend a maximum of 15 min reading the question paper.
1
1
1
1
4
20
Model Paper 1
Part A
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
State Prof Horace Secrist’s definition of statistics.
What is a strata?
Give the formula of Sturge’s to find the number of classes.
Define Frequency Density.
What is a pie diagram?
What is a one dimensional diagram?
Define median.
Give an example of spurious correlation.
Write the regression equation of y on x.
What is extrapolation?
What is an event?
Define mathematical expectation.
Part B
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Define econometrics.
Distinguish between biased and unbiased errors.
What are captions and stubs of a table?
What are the guidelines of classification?
Mention the averages used to locate mode and median.
What is a frequency polygon? How is it constructed?
Which are the suitable averages to be calculated for distribution with open end class intervals?
State the properties of mean.
Define correlation. Give an example.
What is association of attribute? How is it different from correlation?
If P (A) =1/13, P (B) =1/4 and P (P∩B) = 1/52 then find the value of P(AUB).
When two random variables ‘X’ and ‘Y’ are said to be independent?
Part C (6, 9)
1. Explain the various causes of distrust of statistics.
2. Briefly explain the methods of sampling.
3. From following paragraph prepare a discreet frequency table with the number of letters present
in the words.
Success in the examination confers no right to appointment unless government is satisfied, after
such enquiry as may be deemed necessary that the candidate is suitable for appointment to the
public service.
4. Draw a histogram using the following data.
CI
10-20
20-30
30-40
40-50
50-60
Frequency
10
15
40
30
16
5. The first four central moments of a distribution are 0, 2.5, 0.7 and 18.75. Test the skewness and
kurtosis of the distribution.
6. Draw a scatter diagram and interpret.
x
y
3
20
6
18
7
14
9
11
10
9
13
10
15
6
7. Calculate Spearman’s correlation coefficient for the following data.
Marks in English
Marks in Kannada
25
40
32
42
25
44
30
46
28
48
30
32
34
36
36
38
24
34
8. Following are the survey results of a literate persons and employment at a village. Find the
Yule’s coefficient of association and interpret.
Total Adults
Literates
Employed
Literate Employed
5000
645
695
410
9. Use binomial expansion method to estimate the index number for 2004
Year
Index Number
2000
100
2001
107
2002
124
2003
157 ?
2004
10. The first box contains 3 white and 5 marbles. The second box contains 6 white and 4 black
marbles. A box is selected at random and then one marble is drawn from it, find the probability
that it is white.
11. A box contains 20 balls in which some are blue and others are red. If the probability a blue is ¼
then find the number of red balls in the box.
12. From a bag containing 4 white and 6 red balls, three balls are drawn at random. If each white
ball drawn carries a reward of Rs. 4 and each red ball Rs. 6, find the expected reward of the
draw.
Part D
1. Find the mean deviation from mean for the following distribution:
Height (inches)
No of Persons
60
2
61
1
62
14
63
29
64
25
65
12
66
10
67
4
68
2
2. Find a measure of skewness based on quartiles for the following data:
Age (yrs.)
No of Employees
Below 20 20-25 25-30 30-35 35-40 40-45 45-50 50 above
13
29
46
60
112
94
45
21
3. Obtain the regression equation of x on y and hence estimate x when y = 20
y
x
15
4
3
50-52
52-54
54-56
56-58
58-60
16
1
5
3
1
17
18
19
2
4
3
1
1
2
3
1
3
2
1
4.
A) Find the expectation of the product of the numbers obtained in the throw of i) 2 Dice ii) n dice
B) A box contains 200 bolts and 300 nuts. 20% of bolts and half of the nuts are rusted. If one item is
selected at random, what is the probability that it is rusted item or a bolt?
Part E
1. Draw a blank table to show the students of a college according to:
i)
ii)
iii)
Faculty: Arts, Commerce and Science
Sex: Boys. Girls
Class: 1 PUC, 2 PUC
2. Following is the information relating to number of students admitted at a college during the
three years. Prepare the multiple bar diagram.
Years
Arts
Science Commerce
2008
120
180
150
2009
130
250
175
2010
150
280
200
3. Calculate Pearson’s coefficient of correlation for the age of husband and wife:
Age of Husband'
Age of Wife
23
18
27
22
28
23
29
24
30
25
31
26
33
28
35
29
36
30
39
32
4. There are 10 tickets in a bag which are numbered 1, 2, 3…. 10. Two tickets are drawn randomly
one after the other with replacement. Find the expectation of the sum of the numbers drawn.