QUESTION BANK -QT

QUANTITATIVE TECHNIQUES

Question Bank

Short Answer Questions (5 marks)

1.     What you mean by measure of dispersion? State its properties?

2.    What is meant by mode? Point out its merits and demerits.

3.    What is measure of central tendency? Explain different measures of central tendency?

4.    What are the different types of measures of dispersion?

5.    What are the functions of statistics?

6.    What do you mean by mean deviation and explain how to calculate mean deviation of a discrete series?

7.    What are the various functions of statistics?

8.    Differentiate between convenience sampling and judgement sampling?

9.    Why median is called as a positional average? State the merits and demerits of median? Define Statistic?

10. ‘Statistics’ is like clay of which you can make a god or a devil as you please. Explain ?

11.  State the functions of statistics?

12. Differentiate between parameter and statistic ?

13. What is meant by measures of central tendency?

14. Compare and contrast mean median and mode ?

15. What is meant by measures of dispersion ? and explain its properties

16. What is stratified sampling? State its merits and de-merits?

17. What is mean deviation? State its merits and demerits ?

18. Sate the limitations of statistics

19. What is arithmetic mean? State its merits and demerits

20.Differentiate between probability and non-probability sampling methods ?

21. ‘Statistics affects everybody and touches life at many points’ comment

22.What is business statistics?

23. Write a note on census method

24. Explain the terms sample and population

25. Write a note on primary and secondary data

26. What is random variable?

27. Calculate the arithmetic mean of the daily incomes of 5 families:  Rs.10, 90, 85, 103, 12

28. Calculate median 35, 23, 45, 50, 80, 61, 92, 40, 52

29. Explain the merits and demerits of arithmetic mean

30. Find mode from the values 23, 35, 28, 42, 62, 53, 35, 28, 42, 35, 23, 42, 35

31.  Write down the formula for finding out mean, median and mode in continuous     series             

32. Explain the merits and demerits of mode

33. What is a measure of central tendency?

34. Name the different averages

35.Define Business Statistic. List the characteristics of statistics.

36.Why is Statistics important ? Explain its utility.

37." Statistics is like a clay of which you can make a God or Devil as you please" Explain.

38. Define Averages. State its importance and essential properties.

39. What is Arithmetic Mean? What are its merits and demerits?

40.What are the purposes of statistical analysis of research data?

41. What do you mean by measures of central tendency?

42.What are the important measures of dispersion?

43.What are the advantages of standard deviation?

44.What is Chi-square test? Explain its applications.

45.Distinguish between parametric tests and non parametric tests?

46.What is F test? When is it used?

47.What is Mean Deviation? How is it determined?

48.What is Coefficient of Variation?

49.Compute Mode :

Marks(under)	5	10	15	20	25	30	35	40	45
No of Students	20	44	76	104	124	140	174	184	192

50. 

51.  A basket of 15 apples has an Arithmetic Mean weight of 200gms. If an apple weighting 250gms is taken out of the basket and is substituted by another weighting 235gms. What would be the Arithmetic Mean of 15 apples now in the market?

52.Calculate Median from the following data :

Marks	No of Students
11 to 15	7
16 to 20	10
21 to 25	13
26 to 30	26
31 to 35	35
36 to 40	22
41 to 45	11
46 to 50	5

53.Find the Standard Deviation from the following :

Size	Frequency
0 to 2	2
2 to 4	4
4 to 6	6
6 to 8	4
8 to 10	2
10   o 12	6

54.What are the functions of statistics?

55.Distinguish between relative measures and absolute measures of dispersion?

56.What do you mean by coefficient of variation?

57.Why Standard Deviation is considered as the best measure of dispersion?

58.Write a note on census method?

59.What are the characteristics of sampling?

60.What are the limitations of statistics?

61. Define mean and discuss its merits?

62.Explain the terms population and sampling?

63.What are the demerits of median?

64.Write a note on primary and secondary data?

65.In a skewed distribution the values of mode and mean are 32 and 35 respectively. Find the median?

66.From the following data calculate standard deviation using direct method.

X:

8

9

15

23

5

11

19

8

10

12

Short Essays/Problems (10 marks)

1.     Explain Scope of statistics

2.    Explain sampling techniques

3.     What are the different types of sampling techniques?

4.    Explain the advantages and limitations of statistics

5.     Explain the scope and functions of statistics

6.    Explain the sampling methods used for collecting data.

7.     

8.    Find the missing frequencies in the following distribution

Size	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80
Frequency	15	20	10	-	13	10	-	6

           It is known that median is 32.27 and the total frequency is 100.

9.    Find out mode from the following series

Size of item	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80
Frequency	10	14	16	14	11	13	17	13

10. Find the mean deviation about the arithmetic mean for the following frequency distribution of marks of 60 college students

Marks	0-10	10-20	20-30	30-40	40-50	50-60	60-70
No of Students	4	6	10	20	8	6	4

11.  Compute mode

Marks	5	10	15	20	25	30	35	40	45
No of students	20	44	76	104	124	140	174	184	192

12. Find the arithmetic mean from the following data by using step deviation method

Age	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80
No of persons dying	15	30	53	75	100	110	115	125

13. Calculate mean deviation about median for the following data. Also find coefficient of mean deviation

X	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80
F	18	16	15	12	10	5	2	2

14.  Find the arithmetic mean from the following data

      Age: 0-10   10-20  20-30  30-40  40-50  50-60  60-70  70-80

                 15        30      53        75      100     110     115     125 

15.  Calculate standard deviation

Size:          :  0-2  2-4  4-6  6-8  8-10  10-12

Frequency:     2     4      6     4      2        6

16.  Calculate median from the following data

       Class         : 0-10  10-20  20-30  30-40  40-50  50-60  60-70

      Frequency :   8         12       20        23      18        7          2

17. Find the Quartile Deviation and the coefficient from the following data:

Age	0 to10	10 to 20	20 to 30	30 to 40	40 to 50	50 to 60	60 to 70	70 to 80
No of persons	15	30	53	75	100	110	115	125

18. a)  Find the range and the Coefficient of Range.

Marks	10 to 20	20 to 30	30 to 40	40 to 50	50 to 60
No of Students	5	10	12	8	4

b) If N=10, Mean=12, {x2 = 1530. Find the coefficient of standard Deviation and Coefficient of variation.

c) Find mean , S.D and Variance of the following values:

                   2 , 3, 5, 4, 6, 8, 10, 2

19. Find the missing frequency from the following data. Given the Mean Marks is 16.82

Marks	Frequency
0 to 5	10
5 to 10	12
10 to 15	16
15 to 20	-
20 to 25	14
25 to 30	10
30 to 35	8

20. In the frequency distribution of 100 families given below the no of families corresponding to the expenditure groups 20-40 and 60-180 are missing from the table. However the mean of the distribution is known to be 50. Finding the Missing frequency.

Expenditure	No of Families
0 to 20	14
20 to 40	-
40 to 60	27
60 to 80	-
80 to 100	15

21. Calculate median from the following distribution:

Wages(Less than)Rs	10	20	30	40	50	60	70	80
No. of workers	15	35	60	84	96	127	198	250

22.From the following table of marks obtained by two students Ram and Lakshman in tests of 100 marks each, find out who is more intelligent and who is more consistent?

Ram	25	50	45	30	70	42	36	48	34	60
Lakshman	10	70	50	20	95	55	42	60	48	80

23.Find the mean from the following frequency distribution using step deviation method.

Class	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80
Frequency	15	30	53	75	100	110	115	125

24.Calculate mode from the following data.

Size	10-15	15-20	20-25	25-30	30-35	35-40	40-45	45-50
Frequency	4	8	18	30	20	10	5	2

25.