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551.

Question 16If ¯x is the mean of x1,x2,……xn, then for a≠0, the mean of ax1,ax2,……axn,x1a,x2a,……xna is:A) (a+1a)¯xB) (a+1a)¯x2C) (a+1a)¯xnD) (a+1a)¯x2n

Answer» Question 16

If ¯x is the mean of x1,x2,xn, then for a0, the mean of ax1,ax2,axn,x1a,x2a,xna is:



A) (a+1a)¯x

B) (a+1a)¯x2

C) (a+1a)¯xn

D) (a+1a)¯x2n
552.

“The landscape is an inner one, a spiritual and conceptual space.”

Answer»

“The landscape is an inner one, a spiritual and conceptual space.”

553.

Find out the standard deviation of the marks secured by 10 students:S. No12345678910Marks43486557316037487859

Answer»

Find out the standard deviation of the marks secured by 10 students:

S. No12345678910Marks43486557316037487859

554.

26. Each coefficient in equation ax2+bx+c=0 is obtained by throwing a fair die.Find the probability that the equation have real roots.

Answer» 26. Each coefficient in equation ax2+bx+c=0 is obtained by throwing a fair die.Find the probability that the equation have real roots.
555.

Calculate median in an asymmetrical distribution if mode is 83 and arithmetic mean is 92.

Answer» Calculate median in an asymmetrical distribution if mode is 83 and arithmetic mean is 92.
556.

Write two such pairs of statistical variables that show cause and effect relationship with each other.

Answer» Write two such pairs of statistical variables that show cause and effect relationship with each other.
557.

Give the basic difference between GDRs and ADRs.

Answer»

Give the basic difference between GDRs and ADRs.

558.

Following Trial Balance has been prepared wrongly. You are required to prepare a correct trial Balance. Name of AccountBalanceBalanceDr.(Rs)Cr.(Rs)Bank overdraft2,800−Cash in hand−400Purchase Return800−Sundry Expenditures−2,400SalesReturn−1,600Salaries1,600−Purchase5,600−Sales−8,800Creditors−2,400Debtors−1,600Opening Stock−2,000Plant and Machine4,000−Capital4,000−

Answer»

Following Trial Balance has been prepared wrongly. You are required to prepare a correct trial Balance.

Name of AccountBalanceBalanceDr.(Rs)Cr.(Rs)Bank overdraft2,800Cash in hand400Purchase Return800Sundry Expenditures2,400SalesReturn1,600Salaries1,600Purchase5,600Sales8,800Creditors2,400Debtors1,600Opening Stock2,000Plant and Machine4,000Capital4,000

559.

Calculate standard deviation, given the following data:10, 12, 14, 16, 18, 22, 24, 26, 28

Answer» Calculate standard deviation, given the following data:

10, 12, 14, 16, 18, 22, 24, 26, 28
560.

Calculate the simple aggregative price index on the basis of the following data: CommodityPrice (Rs) in 2006Price (Rs) in 2008Rice120180Wheat 80100Oil300400Pulses130180Sugar150200

Answer»

Calculate the simple aggregative price index on the basis of the following data:

CommodityPrice (Rs) in 2006Price (Rs) in 2008Rice120180Wheat 80100Oil300400Pulses130180Sugar150200

561.

Covariance of X and Y is given by the formula, Cov(X,Y) = ___

Answer»

Covariance of X and Y is given by the formula, Cov(X,Y) = ___


562.

Q1. In the assessment of autism, two types of assessment tools are being recommended, consider the following statements: 1. One is International Clinical Epidemiology Network INCLEN Tool developed under INCLEN study – “Neuro Developmental Disorder in Children in India” 2. The other tool is Indian Scale of Assessment of Autism (ISAA) developed by the Ministry of SJ&E. Which of the statements are correct?

Answer»

Q1. In the assessment of autism, two types of assessment tools are being recommended, consider the following statements:

1. One is International Clinical Epidemiology Network INCLEN Tool developed under INCLEN study – “Neuro Developmental Disorder in Children in India”

2. The other tool is Indian Scale of Assessment of Autism (ISAA) developed by the Ministry of SJ&E.

Which of the statements are correct?


563.

Draw a frequency polygon from the following data by using (i) histogram, and (ii) without using histogram: Daily Wages (in ₹) 10−15 15−20 20−25 25−30 30−35 Number of Workers 40 70 60 80 60

Answer» Draw a frequency polygon from the following data by using (i) histogram, and (ii) without using histogram:



















Daily Wages (in ₹) 10−15 15−20 20−25 25−30 30−35
Number of Workers 40 70 60 80 60
564.

The following table shows wages of the workers. Calculate the average wage of the workers. Wages (₹) 10−19 20−29 30−39 40−49 50−59 Number of Workers 8 9 12 11 6

Answer» The following table shows wages of the workers. Calculate the average wage of the workers.



















Wages (₹) 10−19 20−29 30−39 40−49 50−59
Number of Workers 8 9 12 11 6
565.

Define statistics in plural sense. Give its any two characteristics.

Answer»

Define statistics in plural sense. Give its any two characteristics.

566.

Mention the importance or significance of correlation.

Answer»

Mention the importance or significance of correlation.

567.

Calculate standard deviation of marks secured by 100 examinees in the examination: Marks 10−20 20−30 30−40 40−50 50−60 60−70 70−80 80−90 Number of Examinees 19 3 2 49 24 2 0 1

Answer» Calculate standard deviation of marks secured by 100 examinees in the examination:

























Marks 10−20 20−30 30−40 40−50 50−60 60−70 70−80 80−90
Number of Examinees 19 3 2 49 24 2 0 1
568.

The dot product and cross product

Answer» The dot product and cross product
569.

Using assumed average in Karl Pearson's formula, calculate coefficient of correlation, given the following data: X 78 89 97 69 59 79 68 61 Y 125 137 156 112 107 106 123 138

Answer» Using assumed average in Karl Pearson's formula, calculate coefficient of correlation, given the following data:

























X 78 89 97 69 59 79 68 61
Y 125 137 156 112 107 106 123 138
570.

↵Plot the annual profits of a firm on a time series graph: Year 2013 2014 2015 2016 2017 2018 Profit ('000 ₹) 60 72 75 65 80 95

Answer» Plot the annual profits of a firm on a time series graph:























Year 2013 2014 2015 2016 2017 2018
Profit ('000 ₹) 60 72 75 65 80 95
571.

Class mark of a class = _____.

Answer»

Class mark of a class = _____.



572.

What is a variable? Distinguish between a discrete and a continuous variable.

Answer»

What is a variable? Distinguish between a discrete and a continuous variable.

573.

"Small Industries are small in size but play a big role in the development of rural areas". Explain briefly the role of small industries in rural areas.

Answer»

"Small Industries are small in size but play a big role in the development of rural areas". Explain briefly the role of small industries in rural areas.

574.

Question 9The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.Literacy rate (in %)45−5555−6565−7575−8585−95Number of cities3101183

Answer»

Question 9

The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.



Literacy rate (in %)45555565657575858595Number of cities3101183



575.

Calculate the mean deviation about the median for the following data: Class16−2021−2526−3031−3536−4041−4546−5051−55Frequency5612142612169

Answer»

Calculate the mean deviation about the median for the following data:

Class16202125263031353640414546505155Frequency5612142612169

576.

Which of the following is/are likely to show positive correlation?

Answer»

Which of the following is/are likely to show positive correlation?


577.

Find out mode, given the following information: Size 6−10 11−15 16−20 21−25 26−30 Frequency 20 30 50 40 10

Answer» Find out mode, given the following information:



















Size 6−10 11−15 16−20 21−25 26−30
Frequency 20 30 50 40 10
578.

Average income of 50 families is ₹3,000. Of these average income of 12 families is ₹1,800. Find out the average income of the remaining families.

Answer» Average income of 50 families is ₹3,000. Of these average income of 12 families is ₹1,800. Find out the average income of the remaining families.
579.

Two similar sonometer wires given fundamental frequencies of 500Hz. These have same tensions. By what amount the tension be increased in one wire so that the two wires produce 5 beats/sec [RPET 1999]

Answer»

Two similar sonometer wires given fundamental frequencies of 500Hz. These have same tensions. By what amount the tension be increased in one wire so that the two wires produce 5 beats/sec

[RPET 1999]


580.

Calculate the median and third quartile using the following data: Mid- Points marks515253545556575No. of students3101776421

Answer»

Calculate the median and third quartile using the following data:
Mid- Points marks515253545556575No. of students3101776421

581.

A manufacturer sends out car toys to various toy retail stores. This is an example of

Answer»

A manufacturer sends out car toys to various toy retail stores. This is an example of


582.

A set of n values x1, x2, ...., xn has standard deviation σ. The standard deviation of n values x1 + k, x2 + k,..., xn + k will be(a) σ (b) σ + k (c) σ – k (d) kσ

Answer» A set of n values x1, x2, ...., xn has standard deviation σ. The standard deviation of n values x1 + k, x2 + k,..., xn + k will be

(a) σ

(b) σ + k

(c) σ – k

(d) kσ
583.

Identify the incorrect statement regarding Statistics.

Answer»

Identify the incorrect statement regarding Statistics.


584.

A survey was conducted on 20 families in a locality by a group of students .What will be the mode of the data?Age of family member0−2020−4040−6060−8080−100 Number of students78221

Answer»

A survey was conducted on 20 families in a locality by a group of students .What will be the mode of the data?



Age of family member02020404060608080100 Number of students78221



585.

Write a program that uses a user-defined function that accepts name and gender (as M for Male, F for Female) and prefixes Mr/Ms on the basis of the gender.

Answer» Write a program that uses a user-defined function that accepts name and gender (as M for Male, F for Female) and prefixes Mr/Ms on the basis of the gender.
586.

Let F1 be the frequency of second line of lyman series and F2 be the frequency of the first line of balmer series then frequency of first line of lyman series is given by

Answer» Let F1 be the frequency of second line of lyman series and F2 be the frequency of the first line of balmer series then frequency of first line of lyman series is given by
587.

Derive time independent schrodinger equation in simple terms

Answer» Derive time independent schrodinger equation in simple terms
588.

"You have unlimited wants and limited resources to satisfy them." Explain this statement by giving two examples.

Answer»

"You have unlimited wants and limited resources to satisfy them." Explain this statement by giving two examples.

589.

The mean of the above frequency distribution is 3.5, then find the value of x.Variable12x45Frequency23456

Answer» The mean of the above frequency distribution is 3.5, then find the value of x.

Variable12x45Frequency23456
590.

A) If mean of a series is 30 and mode is 25. Find Median. B) Which value is compromised with the rising wholesale price index?

Answer»

A) If mean of a series is 30 and mode is 25. Find Median.

B) Which value is compromised with the rising wholesale price index?

591.

Calculate the mean deviation from the median of the following data. Class10−2020−3030−4040−5050−6060−7070−80Frequency 4 6 10 20 10 6 4

Answer» Calculate the mean deviation from the median of the following data.

Class1020203030404050506060707080Frequency 4 6 10 20 10 6 4
592.

Draw 'less than' as well as 'more than' ogives for the following data: Weight (in Kg) 30−34 35−39 40−44 45−49 50−54 55−59 60−64 Frequency 3 5 12 18 14 6 2

Answer» Draw 'less than' as well as 'more than' ogives for the following data:























Weight (in Kg) 30−34 35−39 40−44 45−49 50−54 55−59 60−64
Frequency 3 5 12 18 14 6 2
593.

Find out the index number of the following data with Laspeyre's Method: Year 2016 2017 Price Quantity Price Quantity A B 70 62 7 3 80 74 6 2

Answer» Find out the index number of the following data with Laspeyre's Method:





















Year 2016 2017
Price Quantity Price Quantity
A



B
70



62
7



3
80



74
6



2
594.

Waht do you mean by a circular diagram? Present the data on the expenditure of a labour-family in the form of a circular diagram: Items of Expenditure Food Clothing Housing Fuel and Light Others Percentage of Income Spent 65 15 12 5 3

Answer» Waht do you mean by a circular diagram? Present the data on the expenditure of a labour-family in the form of a circular diagram:



















Items of Expenditure Food Clothing Housing Fuel and Light Others
Percentage of Income Spent 65 15 12 5 3
595.

Find out mean deviation of the following series from mean and median: Size 4 6 8 10 12 14 16 Frequency 2 4 5 31 2 1 4

Answer» Find out mean deviation of the following series from mean and median:























Size 4 6 8 10 12 14 16
Frequency 2 4 5 31 2 1 4
596.

Significant figures depend on ________ number of significant figures in given data.

Answer»

Significant figures depend on ________ number of significant figures in given data.


597.

Which of the following effects shows that some people consider the price of a commodity as the true indicator of its quality?

Answer»

Which of the following effects shows that some people consider the price of a commodity as the true indicator of its quality?


598.

Calculate the correlation coefficient between X and Y and comment on their relationshipX134578Y268101416

Answer»

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
























X



1



3



4



5



7



8



Y



2



6



8



10



14



16




599.

Calculate the median and mode from the following data: Marks 0−10 10−20 20−30 30−40 40−50 50−60 60−70 70−80 Number of Students 2 18 30 45 35 20 6 3

Answer» Calculate the median and mode from the following data:

























Marks 0−10 10−20 20−30 30−40 40−50 50−60 60−70 70−80
Number of Students 2 18 30 45 35 20 6 3
600.

A price index two items of A and B is being estimated. If two items are assigned weights of 64 and 36 respectively, the price index becomes 279. Similarly, if they are assigned weights of 50 each, the price index turns out to be 265. Determine the individual price index numbers of items A and B.

Answer»

A price index two items of A and B is being estimated. If two items are assigned weights of 64 and 36 respectively, the price index becomes 279. Similarly, if they are assigned weights of 50 each, the price index turns out to be 265. Determine the individual price index numbers of items A and B.