1173 + Interview Questions in Statistics Page 2 InterviewSolution

51.	The following data gives the placement statistics for a college. The annual salaries of 100 students (in lakhs) are tabulated along with the number of students in each salary bracket. You want to find the salary of a typical student, ignoring the extreme values. Identify the measure of central tendency appropriate for this purpose and calculate it. Salary Bracket(in lpa)0−55−1010−1515−2020−2525−30No. of students382420963
Answer» The following data gives the placement statistics for a college. The annual salaries of 100 students (in lakhs) are tabulated along with the number of students in each salary bracket. You want to find the salary of a typical student, ignoring the extreme values. Identify the measure of central tendency appropriate for this purpose and calculate it. $\begin{matrix} S a l a r y B r a c k e t (i n l p a) & 0 - 5 & 5 - 10 & 10 - 15 & 15 - 20 & 20 - 25 & 25 - 30 N o . o f s t u d e n t s & 38 & 24 & 20 & 9 & 6 & 3 \end{matrix}$

Discussion

52.	There are different sources of collection of data in statistics. One has to make proper planning before deciding the source for collection of the data for investigation. Name the sources.
Answer» There are different sources of collection of data in statistics. One has to make proper planning before deciding the source for collection of the data for investigation. Name the sources.

Discussion

53.	5. What is an Set
Answer» 5. What is an Set

Discussion

54.	Find the mean employee age from the table below. Use assumed mean method. Age (in years)Number of employees20−252025−301530−351235−401040−451045−508
Answer» Find the mean employee age from the table below. Use assumed mean method. $\begin{matrix} A g e (i n y e a r s) & N u m b e r o f e m p l o y e e s 20 - 25 & 20 25 - 30 & 15 30 - 35 & 12 35 - 40 & 10 40 - 45 & 10 45 - 50 & 8 \end{matrix}$

Discussion

55.

Students of Class XI obtained following marks in Economics. Classify the data in the form of individual series, discrete series, continuous series and cumulative frequency series. 15 15 18 16 20 21 25 25 15 16 18 22 24 25 20 18 22 24 24 25 25 23 20 15 16 17 19 18 22 22

Answer» Students of Class XI obtained following marks in Economics. Classify the data in the form of individual series, discrete series, continuous series and cumulative frequency series.

15	15	18	16	20	21	25	25	15	16	18	22	24	25	20
18	22	24	24	25	25	23	20	15	16	17	19	18	22	22

Discussion

56.	A consumer price index measures changes in(i) retail prices(ii) wholesale prices(iii) producers prices
Answer» A consumer price index measures changes in (i) retail prices (ii) wholesale prices (iii) producers prices

56.

A consumer price index measures changes in(i) retail prices(ii) wholesale prices(iii) producers prices

Answer»

A consumer price index measures changes in

(i) retail prices

(ii) wholesale prices

(iii) producers prices

Discussion

57.	From the following table giving data regarding income of persons, draw a Lorenz curve. Wages (Rs)Persons0−5,00055,000−10,0001010,000−20,0001820,000−40,0001040,000−50,0007
Answer» From the following table giving data regarding income of persons, draw a Lorenz curve. $\begin{matrix} Wages (Rs) & Persons 0 - 5, 000 & 5 5, 000 - 10, 000 & 10 10, 000 - 20, 000 & 18 20, 000 - 40, 000 & 10 40, 000 - 50, 000 & 7 \end{matrix}$

57.

From the following table giving data regarding income of persons, draw a Lorenz curve. Wages (Rs)Persons0−5,00055,000−10,0001010,000−20,0001820,000−40,0001040,000−50,0007

Answer»

From the following table giving data regarding income of persons, draw a Lorenz curve.

$\begin{matrix} Wages (Rs) & Persons 0 - 5, 000 & 5 5, 000 - 10, 000 & 10 10, 000 - 20, 000 & 18 20, 000 - 40, 000 & 10 40, 000 - 50, 000 & 7 \end{matrix}$

Discussion

58.	Standard deviation about mean (¯x) for a given discrete frequency distribution x1,x2,x3,.....xn with frequencies f1,f2,f3,...fn is
Answer» Standard deviation about mean $(¯ x)$ for a given discrete frequency distribution $x_{1}, x_{2}, x_{3}, . . . . . x_{n}$ with frequencies $f_{1}, f_{2}, f_{3}, . . . f_{n}$ is

Discussion

59.	Find out quartile deviation and the coefficient of quartile deviation of the following series.Wages of 9 workers in Rupees:170, 82, 110, 100, 150, 150, 200, 116, 250
Answer» Find out quartile deviation and the coefficient of quartile deviation of the following series. Wages of 9 workers in Rupees: 170, 82, 110, 100, 150, 150, 200, 116, 250

Discussion

60.	The algebraic sum of deviation of a set of n values from A.M. is (a) n (b) 0 (c) 1 (d) none of the above
Answer» The algebraic sum of deviation of a set of n values from A.M. is (a) n (b) 0 (c) 1 (d) none of the above

60.

The algebraic sum of deviation of a set of n values from A.M. is (a) n (b) 0 (c) 1 (d) none of the above

Answer»

The algebraic sum of deviation of a set of n values from A.M. is

(a) n

(b) 0

(c) 1

(d) none of the above

Discussion

61.

Calculate mean deviation and coefficient of mean deviation with the help of median: Class Interval 0−10 10−20 20−30 30−40 40−50 50−60 Frequency 15 19 14 20 18 14

Answer» Calculate mean deviation and coefficient of mean deviation with the help of median:

Class Interval	0−10	10−20	20−30	30−40	40−50	50−60
Frequency	15	19	14	20	18	14

Discussion

62.	How would you use the random sampling method when you are to select a sample of 3 out of 10 students in your class?
Answer» How would you use the random sampling method when you are to select a sample of 3 out of 10 students in your class?

Discussion

63.	The following table gives the distribution of the life time of 400 neon lamps: Life timeNumber of lamps(in hours) 1500−2000142000−2500562500−3000603000−3500863500−4000744000−4500624500−500048Find the median life time of a lamp.
Answer» The following table gives the distribution of the life time of 400 neon lamps: $\begin{matrix} Life time & Number of lamps (in hours) 1500 - 2000 & 14 2000 - 2500 & 56 2500 - 3000 & 60 3000 - 3500 & 86 3500 - 4000 & 74 4000 - 4500 & 62 4500 - 5000 & 48 \end{matrix}$ Find the median life time of a lamp.

Discussion

64.

In an examination, 25 students secured the following marks: 23 28 30 32 35 35 36 40 41 43 44 45 45 48 49 52 53 54 56 56 58 61 62 65 68 (i) Arrange these data in the form of a frequency distribution using the following class as intervals:20−29, 30−39, 40−49, 50−59, and 60−69.(ii) Arrange the data with cumulative frequencies.

Answer» In an examination, 25 students secured the following marks:

23	28	30	32	35	35	36	40	41	43	44	45	45
48	49	52	53	54	56	56	58	61	62	65	68

(i) Arrange these data in the form of a frequency distribution using the following class as intervals:

20−29, 30−39, 40−49, 50−59, and 60−69.

(ii) Arrange the data with cumulative frequencies.

Discussion

65.	Calculate the relative price index for the following: Commodities1978 Prices (P0)2012 Prices(P1)Bread0.101.12Petrol (per Litre)1760Chocolate0.373.49Shirt1652Match ticket5.0514
Answer» Calculate the relative price index for the following: $\begin{matrix} Commodities & 1978 Prices (P_{0}) & 2012 Prices (P_{1}) Bread & 0.10 & 1.12 Petrol (per Litre) & 17 & 60 Chocolate & 0.37 & 3.49 Shirt & 16 & 52 Match ticket & 5.05 & 14 \end{matrix}$

65.

Calculate the relative price index for the following: Commodities1978 Prices (P0)2012 Prices(P1)Bread0.101.12Petrol (per Litre)1760Chocolate0.373.49Shirt1652Match ticket5.0514

Answer»

Calculate the relative price index for the following:

$\begin{matrix} Commodities & 1978 Prices (P_{0}) & 2012 Prices (P_{1}) Bread & 0.10 & 1.12 Petrol (per Litre) & 17 & 60 Chocolate & 0.37 & 3.49 Shirt & 16 & 52 Match ticket & 5.05 & 14 \end{matrix}$

Discussion

66.	The range of simple correlation coefficient is (a) 0 to infinity (b) minus one to plus one (c) minus infinity to infinity
Answer» The range of simple correlation coefficient is (a) 0 to infinity (b) minus one to plus one (c) minus infinity to infinity

66.

The range of simple correlation coefficient is (a) 0 to infinity (b) minus one to plus one (c) minus infinity to infinity

Answer»

The range of simple correlation coefficient is

(a) 0 to infinity

(b) minus one to plus one

(c) minus infinity to infinity

Discussion

67.	Discuss services of retailer to manufacturer and wholesaler.
Answer» Discuss services of retailer to manufacturer and wholesaler.

Discussion

68.

Deviation of two series of X and Y are shown. Calculate coefficient of correlation. X +5 −4 −2 +20 −10 0 +3 0 −15 −5 Y +5 −12 −7 +25 −10 −3 0 +2 −9 −15

Answer» Deviation of two series of X and Y are shown. Calculate coefficient of correlation.

X	+5	−4	−2	+20	−10	0	+3	0	−15	−5
Y	+5	−12	−7	+25	−10	−3	0	+2	−9	−15

Discussion

69.	If mode is 63 and median is 77, calculate arithmetic mean.
Answer» If mode is 63 and median is 77, calculate arithmetic mean.

Discussion

70.	The age of the employees in a startup company is shown below. Find the average age of the employees. Age No. of Employees18−263026−347034−425042−503050−581058−6610
Answer» The age of the employees in a startup company is shown below. Find the average age of the employees. $\begin{matrix} Age & No. of Employees 18 - 26 & 30 26 - 34 & 70 34 - 42 & 50 42 - 50 & 30 50 - 58 & 10 58 - 66 & 10 \end{matrix}$

Discussion

71.

Calculate mode from the following data: Wages (₹) Number of Workers Less than 10 Less than 20 Less than 30 Less than 40 Less than 50 Less than 60 Less than 70 Less than 80 15 35 60 84 96 127 198 250

Answer» Calculate mode from the following data:

Wages (₹)	Number of Workers
Less than 10 Less than 20 Less than 30 Less than 40 Less than 50 Less than 60 Less than 70 Less than 80	15 35 60 84 96 127 198 250

Discussion

72.	Eight workers earn the following income:30, 36, 34, 40, 42, 46, 54, 62Find out arithmetic mean.
Answer» Eight workers earn the following income: 30, 36, 34, 40, 42, 46, 54, 62 Find out arithmetic mean.

Discussion

73.	What is an index Number? What considerations are taken into account while selecting the base year for the preparation of an index number?
Answer» What is an index Number? What considerations are taken into account while selecting the base year for the preparation of an index number?

Discussion

74.	56.The dot product and cross product
Answer» 56.The dot product and cross product

Discussion

75.	Dr. Krishnan is going to observe and record children’s play behaviour at a nursery school without attempting to influence or control the behaviour. Which method of research is involved? Explain the process and discuss its merits and demerits.
Answer» Dr. Krishnan is going to observe and record children’s play behaviour at a nursery school without attempting to influence or control the behaviour. Which method of research is involved? Explain the process and discuss its merits and demerits.

Discussion

76.	For a group of 200 candidates, the mean and standard deviation were found to be 40 and 15, respectively. Later on, it was found that the score 43 was misread as 34. Find the correct mean and correct standard deviation.
Answer» For a group of 200 candidates, the mean and standard deviation were found to be 40 and 15, respectively. Later on, it was found that the score 43 was misread as 34. Find the correct mean and correct standard deviation.

Discussion

77.

Find out rank difference correlation of X and Y: X 80 78 75 75 58 67 60 59 Y 12 13 14 14 14 16 15 17

Answer» Find out rank difference correlation of X and Y:

X	80	78	75	75	58	67	60	59
Y	12	13	14	14	14	16	15	17

Discussion

78.	Question 8A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent. Number of days0−66−1010−1414−2020−2828−3838−40Number of students111074431
Answer» Question 8 A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent. $\begin{matrix} Number of days & 0 - 6 & 6 - 10 & 10 - 14 & 14 - 20 & 20 - 28 & 28 - 38 & 38 - 40 Number of students & 11 & 10 & 7 & 4 & 4 & 3 & 1 \end{matrix}$

78.

Question 8A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent. Number of days0−66−1010−1414−2020−2828−3838−40Number of students111074431

Answer»

Question 8

A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.

$\begin{matrix} Number of days & 0 - 6 & 6 - 10 & 10 - 14 & 14 - 20 & 20 - 28 & 28 - 38 & 38 - 40 Number of students & 11 & 10 & 7 & 4 & 4 & 3 & 1 \end{matrix}$

Discussion

79.	Prepare a sketch of such a table that exhibits the following types of information on the number of students of your college:(i) Faculty-wise: Arts, Commerce and Science.(ii) Class-wise: XI; B.A. (I); B.A. (II); and B.A. (III).(iii) Sex-wise: Boys and Girls.
Answer» Prepare a sketch of such a table that exhibits the following types of information on the number of students of your college: (i) Faculty-wise: Arts, Commerce and Science. (ii) Class-wise: XI; B.A. (I); B.A. (II); and B.A. (III). (iii) Sex-wise: Boys and Girls.

Discussion

80.	Fertility of the soil in rice fields can be improved by
Answer» Fertility of the soil in rice fields can be improved by

Discussion

81.	Identify the different roles and status that you play and are located in. Do you think roles and status change? Discuss when and how they change.
Answer» Identify the different roles and status that you play and are located in. Do you think roles and status change? Discuss when and how they change.

Discussion

82.	Calculate the correlation coefficient between X and Y and comment on their relationship. X−3−2−1123Y941149
Answer» Calculate the correlation coefficient between X and Y and comment on their relationship. $\begin{matrix} X & - 3 & - 2 & - 1 & 1 & 2 & 3 Y & 9 & 4 & 1 & 1 & 4 & 9 \end{matrix}$

82.

Calculate the correlation coefficient between X and Y and comment on their relationship. X−3−2−1123Y941149

Answer»

Calculate the correlation coefficient between X and Y and comment on their relationship.

$\begin{matrix} X & - 3 & - 2 & - 1 & 1 & 2 & 3 Y & 9 & 4 & 1 & 1 & 4 & 9 \end{matrix}$

Discussion

83.	How does sociology study religion?
Answer» How does sociology study religion?

Discussion

84.	The mark distribution of 40 students in an exam is shown below. Find the standard deviation of the distribution. Marks0−1010−2020−3030−4040−50No. of Students7101265
Answer» The mark distribution of 40 students in an exam is shown below. Find the standard deviation of the distribution. $\begin{matrix} Marks & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 No. of Students & 7 & 10 & 12 & 6 & 5 \end{matrix}$

Discussion

85.	Find the value of Sgn(-1) + sgn(0) + Sgn(1), where Sgn(x) is the signum function. __
Answer» Find the value of Sgn(-1) + sgn(0) + Sgn(1), where Sgn(x) is the signum function. __

Discussion

86.	How do the following factors contribute to the environmental crisis in India? What problem do they pose for the government?(i) Rising population(ii) Air pollution(iii) Water contamination(iv) Affluent consumption standards(v) Illiteracy(vi) Industrialization(vii) Urbanization(viii) Reduction of forest coverage(ix) Poaching(x) Global warming.
Answer» How do the following factors contribute to the environmental crisis in India? What problem do they pose for the government? (i) Rising population (ii) Air pollution (iii) Water contamination (iv) Affluent consumption standards (v) Illiteracy (vi) Industrialization (vii) Urbanization (viii) Reduction of forest coverage (ix) Poaching (x) Global warming.

86.

How do the following factors contribute to the environmental crisis in India? What problem do they pose for the government?(i) Rising population(ii) Air pollution(iii) Water contamination(iv) Affluent consumption standards(v) Illiteracy(vi) Industrialization(vii) Urbanization(viii) Reduction of forest coverage(ix) Poaching(x) Global warming.

Answer»

How do the following factors contribute to the environmental crisis in India? What problem do they pose for the government?

(i) Rising population

(ii) Air pollution

(iii) Water contamination

(iv) Affluent consumption standards

(v) Illiteracy

(vi) Industrialization

(vii) Urbanization

(viii) Reduction of forest coverage

(ix) Poaching

(x) Global warming.

Discussion

87.	Statistical methods are used to make inferences from__________
Answer» Statistical methods are used to make inferences from__________

Discussion

88.	What do you mean by index number? Explain the types and uses of index numbers.
Answer» What do you mean by index number? Explain the types and uses of index numbers.

Discussion

89.	In general, inflation is calculated by using (i) wholesale price index (ii) consumer price index (iii) producer's price index
Answer» In general, inflation is calculated by using (i) wholesale price index (ii) consumer price index (iii) producer's price index

89.

In general, inflation is calculated by using (i) wholesale price index (ii) consumer price index (iii) producer's price index

Answer»

In general, inflation is calculated by using

(i) wholesale price index

(ii) consumer price index

(iii) producer's price index

Discussion

90.	Statistics is defined as aggregate of numerical facts. Give a few examples.
Answer» Statistics is defined as aggregate of numerical facts. Give a few examples.

Discussion

91.	Calculate the consumer price index for the year 1998 : ItemsQuantityPrice (1997)/UnitPrice (1998)/UnitRice4016.0020.00Wheat2540.0060.00Pulses50.500.50Oil205.126.25Soap102.001.50
Answer» Calculate the consumer price index for the year 1998 : $\begin{matrix} Items & Quantity & Price (1997)/Unit & Price (1998)/Unit Rice & 40 & 16.00 & 20.00 Wheat & 25 & 40.00 & 60.00 Pulses & 5 & 0.50 & 0.50 Oil & 20 & 5.12 & 6.25 Soap & 10 & 2.00 & 1.50 \end{matrix}$

91.

Calculate the consumer price index for the year 1998 : ItemsQuantityPrice (1997)/UnitPrice (1998)/UnitRice4016.0020.00Wheat2540.0060.00Pulses50.500.50Oil205.126.25Soap102.001.50

Answer»

Calculate the consumer price index for the year 1998 :

$\begin{matrix} Items & Quantity & Price (1997)/Unit & Price (1998)/Unit Rice & 40 & 16.00 & 20.00 Wheat & 25 & 40.00 & 60.00 Pulses & 5 & 0.50 & 0.50 Oil & 20 & 5.12 & 6.25 Soap & 10 & 2.00 & 1.50 \end{matrix}$

Discussion

92.	The sum of the squares of the deviations of the values of the variable is ___________ when taken about their arithmetic mean.
Answer» The sum of the squares of the deviations of the values of the variable is ___________ when taken about their arithmetic mean.

Discussion

93.

Make a multiple bar diagram of the following data: Faculty Number of Students 2014-15 2015-16 2016-17 Arts Science Commerce 600 400 200 550 500 250 500 600 300

Answer» Make a multiple bar diagram of the following data:

Faculty	Number of Students
Faculty	2014-15	2015-16	2016-17
Arts Science Commerce	600 400 200	550 500 250	500 600 300

Discussion

94.	Direction(1-4): Read the information carefully and answer the questions that follow.Five top athletes (A, B, C, D, E) were given rating points from 1−10 in three different categories (speed, agility, stamina) as shown in the chart below.In how many parameters are the rating points of E greater than at least 3 other athletes?
Answer» Direction(1-4): Read the information carefully and answer the questions that follow. Five top athletes (A, B, C, D, E) were given rating points from 1−10 in three different categories (speed, agility, stamina) as shown in the chart below. In how many parameters are the rating points of E greater than at least 3 other athletes?

Discussion

95.	A set of n values x1, x2, .......xn has standard deviation σ. The standard deviation of n values ax1, ax2, ...., axn is ________________.
Answer» A set of n values x₁, x₂, .......x_n has standard deviation σ. The standard deviation of n values ax₁, ax₂, ...., a_xn is ________________.

Discussion

96.	Width of rectangles in a histogram should essentially be equal. (True / False)
Answer» Width of rectangles in a histogram should essentially be equal. (True / False)

Discussion

97.	In whatrespect do the supply and demand curves in the labour market differfrom those in the goods market?
Answer» In what respect do the supply and demand curves in the labour market differ from those in the goods market?

Discussion

98.

Calculate the weighted aggregative index number for the following considering the current period consumption as a standard: P0Q0P1Q1H0.5202.525I10.510711J3.58412K7251430L15132218 All the prices are in dollars.

Answer»

Calculate the weighted aggregative index number for the following considering the current period consumption as a standard:

$\begin{matrix} P_{0} & Q_{0} & P_{1} & Q_{1} H & 0.5 & 20 & 2.5 & 25 I & 10.5 & 10 & 7 & 11 J & 3.5 & 8 & 4 & 12 K & 7 & 25 & 14 & 30 L & 15 & 13 & 22 & 18 \end{matrix}$

All the prices are in dollars.

Discussion

99.	Why is the question of a scientific method particularly important in sociology?
Answer» Why is the question of a scientific method particularly important in sociology?

Discussion

100.

Classify the following data by taking class interval such that their mid-values are 17, 22, 27, 32 and so on: 30 30 36 33 42 27 22 41 30 42 30 21 54 36 31 16 40 28 19 17 48 28 48 36 14 37 16 37 17 54 42 41 51 44 32 46 42 31 21 47 25 36 22 52 41 40 40 53

Answer» Classify the following data by taking class interval such that their mid-values are 17, 22, 27, 32 and so on:

30

30

36

33

42

27

22

41

30

42

30

21

54

36

31

16

40

28

19

17

48

28

48

36

14

37

16

37

17

54

42

41

51

44

32

46

42

31

21

47

25

36

22

52

41

40

40

53

Discussion

Explore topic-wise InterviewSolutions in .

There are different sources of collection of data in statistics. One has to make proper planning before deciding the source for collection of the data for investigation. Name the sources.

5. What is an Set

Find the mean employee age from the table below. Use assumed mean method. Age (in years)Number of employees20−252025−301530−351235−401040−451045−508

Students of Class XI obtained following marks in Economics. Classify the data in the form of individual series, discrete series, continuous series and cumulative frequency series. 15 15 18 16 20 21 25 25 15 16 18 22 24 25 20 18 22 24 24 25 25 23 20 15 16 17 19 18 22 22

A consumer price index measures changes in(i) retail prices(ii) wholesale prices(iii) producers prices

From the following table giving data regarding income of persons, draw a Lorenz curve. Wages (Rs)Persons0−5,00055,000−10,0001010,000−20,0001820,000−40,0001040,000−50,0007

Standard deviation about mean (¯x) for a given discrete frequency distribution x1,x2,x3,.....xn with frequencies f1,f2,f3,...fn is

Find out quartile deviation and the coefficient of quartile deviation of the following series.Wages of 9 workers in Rupees:170, 82, 110, 100, 150, 150, 200, 116, 250

The algebraic sum of deviation of a set of n values from A.M. is (a) n (b) 0 (c) 1 (d) none of the above

Calculate mean deviation and coefficient of mean deviation with the help of median: Class Interval 0−10 10−20 20−30 30−40 40−50 50−60 Frequency 15 19 14 20 18 14

How would you use the random sampling method when you are to select a sample of 3 out of 10 students in your class?

The following table gives the distribution of the life time of 400 neon lamps: Life timeNumber of lamps(in hours) 1500−2000142000−2500562500−3000603000−3500863500−4000744000−4500624500−500048Find the median life time of a lamp.

Calculate the relative price index for the following: Commodities1978 Prices (P0)2012 Prices(P1)Bread0.101.12Petrol (per Litre)1760Chocolate0.373.49Shirt1652Match ticket5.0514

The range of simple correlation coefficient is (a) 0 to infinity (b) minus one to plus one (c) minus infinity to infinity

Discuss services of retailer to manufacturer and wholesaler.

Deviation of two series of X and Y are shown. Calculate coefficient of correlation. X +5 −4 −2 +20 −10 0 +3 0 −15 −5 Y +5 −12 −7 +25 −10 −3 0 +2 −9 −15

If mode is 63 and median is 77, calculate arithmetic mean.

The age of the employees in a startup company is shown below. Find the average age of the employees. Age No. of Employees18−263026−347034−425042−503050−581058−6610

Calculate mode from the following data: Wages (₹) Number of Workers Less than 10 Less than 20 Less than 30 Less than 40 Less than 50 Less than 60 Less than 70 Less than 80 15 35 60 84 96 127 198 250

Eight workers earn the following income:30, 36, 34, 40, 42, 46, 54, 62Find out arithmetic mean.

What is an index Number? What considerations are taken into account while selecting the base year for the preparation of an index number?

56.The dot product and cross product

Dr. Krishnan is going to observe and record children’s play behaviour at a nursery school without attempting to influence or control the behaviour. Which method of research is involved? Explain the process and discuss its merits and demerits.

For a group of 200 candidates, the mean and standard deviation were found to be 40 and 15, respectively. Later on, it was found that the score 43 was misread as 34. Find the correct mean and correct standard deviation.

Find out rank difference correlation of X and Y: X 80 78 75 75 58 67 60 59 Y 12 13 14 14 14 16 15 17

Question 8A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent. Number of days0−66−1010−1414−2020−2828−3838−40Number of students111074431

Prepare a sketch of such a table that exhibits the following types of information on the number of students of your college:(i) Faculty-wise: Arts, Commerce and Science.(ii) Class-wise: XI; B.A. (I); B.A. (II); and B.A. (III).(iii) Sex-wise: Boys and Girls.

Fertility of the soil in rice fields can be improved by

Identify the different roles and status that you play and are located in. Do you think roles and status change? Discuss when and how they change.

Calculate the correlation coefficient between X and Y and comment on their relationship. X−3−2−1123Y941149

How does sociology study religion?

The mark distribution of 40 students in an exam is shown below. Find the standard deviation of the distribution. Marks0−1010−2020−3030−4040−50No. of Students7101265

Find the value of Sgn(-1) + sgn(0) + Sgn(1), where Sgn(x) is the signum function. __

Statistical methods are used to make inferences from__________

What do you mean by index number? Explain the types and uses of index numbers.

In general, inflation is calculated by using (i) wholesale price index (ii) consumer price index (iii) producer's price index

Statistics is defined as aggregate of numerical facts. Give a few examples.

Calculate the consumer price index for the year 1998 : ItemsQuantityPrice (1997)/UnitPrice (1998)/UnitRice4016.0020.00Wheat2540.0060.00Pulses50.500.50Oil205.126.25Soap102.001.50

The sum of the squares of the deviations of the values of the variable is ___________ when taken about their arithmetic mean.

Make a multiple bar diagram of the following data: Faculty Number of Students 2014-15 2015-16 2016-17 Arts Science Commerce 600 400 200 550 500 250 500 600 300

A set of n values x1, x2, .......xn has standard deviation σ. The standard deviation of n values ax1, ax2, ...., axn is ________________.

Width of rectangles in a histogram should essentially be equal. (True / False)

In whatrespect do the supply and demand curves in the labour market differfrom those in the goods market?

Calculate the weighted aggregative index number for the following considering the current period consumption as a standard: P0Q0P1Q1H0.5202.525I10.510711J3.58412K7251430L15132218 All the prices are in dollars.

Why is the question of a scientific method particularly important in sociology?

Classify the following data by taking class interval such that their mid-values are 17, 22, 27, 32 and so on: 30 30 36 33 42 27 22 41 30 42 30 21 54 36 31 16 40 28 19 17 48 28 48 36 14 37 16 37 17 54 42 41 51 44 32 46 42 31 21 47 25 36 22 52 41 40 40 53