Semester - V , GE - BASIC STATISTICS ( Important Questions)

 

GE – Basic Statistics (Important Questions)

UNIT – I

1.Define Statistics. Explain scope of statistics.

2.Explain measurement of scales. 

3.What is meant by tabulation? Explain various kinds of tables.

4.Define the following with example

Population, Sample, Variable, Attributes

5.Draw Ogive curve for the following data.

Marks

0-10

10-20

20-30

30-40

40-50

50-60

60-70

70-80

80-90

90-100

No. of Students

8

12

22

35

40

60

52

40

30

5
     
    6.What is the difference between qualitative and quantitative data? Explain with example.

 

UNIT - II

1.Define central tendency. Explain measures of central tendency with merits and demerits.

2.What is meant by dispersion? Explain measures of dispersion with merits and demerits.

3.Obtain Mean, Median and Mode from the following data

Class Interval

20-30

30-40

40-50

50-60

60-70

Frequency

6

5

19

12

5

 
4.Define central and non-central moments. Give formula for central moments in terms of non-central moments.

5.Explain relative measures of dispersion.

6.Explain skewness.

7.Explain kurtosis.

8.The first four moments of a distribution about the value 5 of the variable are 2, 20, 40, 50. Calculate mean, variance, β1, β2 of the distribution and comment on the distribution.


UNIT - III

1.Define correlation coefficient. Obtain correlation coefficient from the following data.

X

65

66

67

67

68

69

70

72

Y

67

68

65

68

72

72

69

71
2.Derive Spearman’s rank correlation coefficient.

3.Explain principle of least squares and fitting of straight line.

4.What do you understand by regression? Define regression coefficients. State its properties
.
5.Define correlation. What are the various types of correlation?

6.Define partial and multiple correlation coefficients.

7.Explain scattered diagram.

8.Obtain rank correlation for the following data.

X

20

14

36

29

5

11

19

Y

19

9

25

10

2

6

29


UNIT – IV

1.Define consistency. What are the conditions for the consistency?

2.Define Yule’s coefficient of association and colligation. Obtain relationship between them.

3.Define the following

Class, Class frequency, Order of a class, Order of class frequency, Ultimate class frequency.

4.Define association of attributes.

5.Define independence of attributes.

6.If (A) = 450, (B) = 650, (AB) = 310, N = 100, check whether A and B are independent or associated.



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