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101.

A student writes four different expressions for the displacement x in a periodic motion as a function of time t, A as amplitude, T as time period. Which of the following can be correct? (1) x= AT sin 2.pi.t/T (2) x= A.A Tcost (3) x= A/Tcost/a (4) x= A/2power1/2[sin2pi t/T +cos2pi t/T

Answer» A student writes four different expressions for the displacement x in a periodic motion as a function of time t, A as amplitude, T as time period. Which of the following can be correct? (1) x= AT sin 2.pi.t/T (2) x= A.A Tcost (3) x= A/Tcost/a (4) x= A/2power1/2[sin2pi t/T +cos2pi t/T
102.

Calculate mean deviation from the median of the following data: [NCERT EXEMPLAR] Class interval: 0–6 6–12 12–18 18–24 24–30 Frequency 4 5 3 6 2

Answer» Calculate mean deviation from the median of the following data: [NCERT EXEMPLAR]





















Class interval: 0–6 6–12 12–18 18–24 24–30
Frequency 4 5 3 6 2
103.

Find the missing frequency in the following distribution if N is 60 and the median is 40. Marks)0−1010−3030−6060−8080−90Frequency5F1F282

Answer»

Find the missing frequency in the following distribution if N is 60 and the median is 40.

Marks)0101030306060808090Frequency5F1F282

104.

The mean of first five prime numbers is(a) 5.6 (b) 5.5 (c) 5.4 (d) 5.2

Answer» The mean of first five prime numbers is



(a) 5.6 (b) 5.5 (c) 5.4 (d) 5.2
105.

The range of the data : 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20 is __________.

Answer» The range of the data : 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20 is __________.
106.

Calculate mode of the following series using the graphic technique. Counter check the modal value with the formula. Wage 0−10 10−20 20−30 30−40 40−50 Number of Workers 28 46 54 42 30

Answer» Calculate mode of the following series using the graphic technique. Counter check the modal value with the formula.



















Wage 0−10 10−20 20−30 30−40 40−50
Number of Workers 28 46 54 42 30
107.

The mean ¯x of a discrete series of data is given by:

Answer»

The mean ¯x of a discrete series of data is given by:


108.

Calculate arithmetic mean from the following data: Marks0−1010−2020−4040−7070−100No. of Students8123064

Answer»

Calculate arithmetic mean from the following data:

Marks01010202040407070100No. of Students8123064

109.

Make a scatter diagram for the following data and state the type of correlation between X and Y. X1020304050Y70140210280350

Answer»

Make a scatter diagram for the following data and state the type of correlation between X and Y.

X1020304050Y70140210280350

110.

Find the mean and variance for the following frequency distribution. Class 0−10 10−20 20−30 30−40 40−50 Frequencies 5 8 15 16 6

Answer»

Find the mean and variance for the following frequency distribution.

Class 010 1020 2030 3040 4050 Frequencies 5 8 15 16 6

111.

Explain why environmental problems are simultaneously social problems.

Answer»

Explain
why environmental problems are simultaneously social problems.

112.

44. A speaks truth in 60% of the cases and B in 90% of the cases In what percentage of cases are they likely to contradict each other in stating the same fact ?

Answer» 44. A speaks truth in 60% of the cases and B in 90% of the cases In what percentage of cases are they likely to contradict each other in stating the same fact ?
113.

What does 20% of 50 mean?

Answer»

What does 20% of 50 mean?



114.

Complete the following chart:

Answer» Complete the following chart:

115.

Calculate the mean deviation about the mean for the following frequency distribution: Class interval: 0–4 4–8 8–12 12–16 16–20 Frequency 4 6 8 5 2

Answer» Calculate the mean deviation about the mean for the following frequency distribution:





















Class interval: 0–4 4–8 8–12 12–16 16–20
Frequency 4 6 8 5 2
116.

What are the major environmental issues associated with resource depletion?

Answer»

What are
the major environmental issues associated with resource depletion?

117.

How is retrieval related forgetting different from forgetting due to interference?

Answer»

How
is retrieval related forgetting different from forgetting due to
interference?

118.

Rectify the following errors. (i) Credit sales to Mohan Rs. 7,000 were recorded as Rs. 7,200. (ii) Credit purchase from Rohan Rs. 9,000 were recorded as Rs. 9,900. (iii) Goods returned to Rakesh Rs. 4,000 were recorded as Rs. 4,040. (iv) Goods returned from Mahesh Rs. 1,000 were recorded as Rs. 1,600. (v) Cash sale of Rs. 3,400 to Aroha was posted to the credit of Aroha. (vi) Credit sale of old furniture to X for Rs. 3,400 was credited to the sales account. (vii) Credit sale of old furniture to Vishal for Rs. 1,700 was posted as Rs. 7,100.

Answer»

Rectify the following errors.

(i) Credit sales to Mohan Rs. 7,000 were recorded as Rs. 7,200.

(ii) Credit purchase from Rohan Rs. 9,000 were recorded as Rs. 9,900.

(iii) Goods returned to Rakesh Rs. 4,000 were recorded as Rs. 4,040.

(iv) Goods returned from Mahesh Rs. 1,000 were recorded as Rs. 1,600.

(v) Cash sale of Rs. 3,400 to Aroha was posted to the credit of Aroha.

(vi) Credit sale of old furniture to X for Rs. 3,400 was credited to the sales account.

(vii) Credit sale of old furniture to Vishal for Rs. 1,700 was posted as Rs. 7,100.

119.

Calculate average of the following discrete series. Use Short-cut Method by taking 25 as assumed average. Size 30 29 28 27 26 25 24 23 22 21 Frequency (f) 2 4 5 3 2 7 1 4 5 7

Answer» Calculate average of the following discrete series. Use Short-cut Method by taking 25 as assumed average.





























Size 30 29 28 27 26 25 24 23 22 21
Frequency (f) 2 4 5 3 2 7 1 4 5 7
120.

Mention the three most commonly used measures of central tendency.

Answer»

Mention the three most commonly used measures of central tendency.

121.

Why and how does social organisation shape the relationship between the environment and society?

Answer»

Why and
how does social organisation shape the relationship between the
environment and society?

122.

Let p: Roses are red and q: The sun is a star. Then the verbal translation of ∼p ∨ q is

Answer»

Let p: Roses are red and q: The sun is a star. Then the verbal translation of p q is


123.

Which of the following resembles most a direct democracy? a. Discussions in a family meeting b. Election of the class monitor c. Choice of a candidate by a political party d. Decisions taken by the Gram Sabha e. Opinion polls conducted by the media

Answer»

Which
of the following resembles most a direct democracy?


a.
Discussions in a family meeting


b.
Election of the class monitor


c.
Choice of a candidate by a political party


d.
Decisions taken by the Gram Sabha


e.
Opinion polls conducted by the media

124.

The consumer price index for June, 2002 was 98. The food index was 79 and that of other items 117. What is the percentage of the total weight given to food?

Answer»

The consumer price index for June, 2002 was 98. The food index was 79 and that of other items 117. What is the percentage of the total weight given to food?

125.

The range of simple correlation coefficient is(i) 0 to infinity(ii) minus one to plus one(iii) minus infinity to infinity

Answer»

The range of simple correlation coefficient is



(i) 0 to infinity



(ii) minus one to plus one



(iii) minus infinity to infinity

126.

Calculate mean deviation from median and its coefficient for the following data : X10−1920−2930−3940−4950−59f34652

Answer»

Calculate mean deviation from median and its coefficient for the following data :

X10192029303940495059f34652

127.

The height of a rectangle in a histogram shows the(a) width of the class(b) upper limit of the class(c) lower limit of the class(d) frequency of the class

Answer»

The height of a rectangle in a histogram shows the



(a) width of the class



(b) upper limit of the class



(c) lower limit of the class



(d) frequency of the class



128.

Construct the simple frequency distribution from the following data: Mid-value 5 15 25 35 45 55 Frequency 2 8 15 12 7 6

Answer» Construct the simple frequency distribution from the following data:





















Mid-value 5 15 25 35 45 55
Frequency 2 8 15 12 7 6
129.

For perfect positive correlation, the value of r = ___

Answer»

For perfect positive correlation, the value of r = ___

130.

The standard deviation is _____________ to the mean deviation taken from the arithmetic mean.

Answer» The standard deviation is _____________ to the mean deviation taken from the arithmetic mean.
131.

Discuss the strengths and weaknesses of experimental method as a method of enquiry.

Answer»

Discuss
the strengths and weaknesses of experimental method as a method of
enquiry.

132.

Prepare the frequency array of marks obtained by 25 students of a class in Economics test. 20, 15, 20, 30, 40, 25, 25, 30, 40, 20, 35, 35, 50, 15, 50, 25, 40, 40, 30, 50, 25, 30, 30, 15, 45.

Answer»

Prepare the frequency array of marks obtained by 25 students of a class in Economics test.

20, 15, 20, 30, 40, 25, 25, 30, 40, 20, 35, 35, 50, 15, 50, 25, 40, 40, 30, 50, 25, 30, 30, 15, 45.

133.

Mean is also called as ___.

Answer»

Mean is also called as ___.



134.

Following is some information regarding a town’s expenditure: Expenses on itemsFood 50%Fuel 8%Clothing 22%Rent 5%Misc 15%Price (in Rs.)in 20092200301912500247Price (in Rs.)in 19871504125333300200 What is the cost of living index of the year 2000 as compared with the year 1990?

Answer»

Following is some information regarding a town’s expenditure:

Expenses on itemsFood 50%Fuel 8%Clothing 22%Rent 5%Misc 15%Price (in Rs.)in 20092200301912500247Price (in Rs.)in 19871504125333300200

What is the cost of living index of the year 2000 as compared with the year 1990?


135.

In the following frequency distribution, ifthe arithmetic mean is 45.6, find out missing frequency. Wages (₹) 10−20 20−30 30−40 40−50 50−60 60−70 70−80 Number of Workers 5 6 7 X 4 3 9

Answer» In the following frequency distribution, ifthe arithmetic mean is 45.6, find out missing frequency.























Wages (₹) 10−20 20−30 30−40 40−50 50−60 60−70 70−80
Number of Workers 5 6 7 X 4 3 9
136.

The annual sales of cell phones for the last 5 years in the city of Chennai would fall under which particular type of classification? YearSale (Units)201454,000201568,000201692,00020171,10,00020181,22,000

Answer»

The annual sales of cell phones for the last 5 years in the city of Chennai would fall under which particular type of classification?

YearSale (Units)201454,000201568,000201692,00020171,10,00020181,22,000


137.

Find the mean and variance for the following frequency distribution. Class 0−30 30−60 60−90 90−120 120−150 150−180 180−210 Frequencies 2 3 5 10 3 5 2

Answer»

Find the mean and variance for the following frequency distribution.

Class 030 3060 6090 90120 120150 150180 180210 Frequencies 2 3 5 10 3 5 2

138.

The standard deviation of data is _________________ of any change in origin, but is _____________ on the change of scale.

Answer» The standard deviation of data is _________________ of any change in origin, but is _____________ on the change of scale.
139.

Find the value of variables k and d for the following data using Simple aggregative method provided the average prices of commodities have increased by 50% over the given period.Also given is the relation between k and d defined by k2+d2=149. CommoditiesABCDEPrice in 2000 (Rs.)10122k23Price in 2006 (Rs.)1417d931

Answer»

Find the value of variables k and d for the following data using Simple aggregative method provided the average prices of commodities have increased by 50% over the given period.Also given is the relation between k and d defined by k2+d2=149.

CommoditiesABCDEPrice in 2000 (Rs.)10122k23Price in 2006 (Rs.)1417d931


140.

Steven Gerard, arguably one of the most consistent and skilled player in English premier league was given monthly ratings by a Football website. The ratings are given on monthly basis. The following are the ratings for the past 40 months. Rating688.59710Number of months with the rating2810785 Calculate how his rating is deviating from his average performance in terms of mean deviation about mean.

Answer»

Steven Gerard, arguably one of the most consistent and skilled player in English premier league was given monthly ratings by a Football website. The ratings are given on monthly basis. The following are the ratings for the past 40 months.

Rating688.59710Number of months with the rating2810785

Calculate how his rating is deviating from his average performance in terms of mean deviation about mean.


141.

In the ___ method of calculating mean, we divide the deviations by a common factor to simplify calculations.

Answer»

In the ___ method of calculating mean, we divide the deviations by a common factor to simplify calculations.

142.

The first Census of India after the Independence was taken in the year ___ .

Answer» The first Census of India after the Independence was taken in the year ___ .
143.

Give the formula for estimating mode in case of continuous series.

Answer»

Give the formula for estimating mode in case of continuous series.

144.

Given the following data: Year CPI of Industrial Workers (1982 = 100) CPI of Urban Non-manual Employees (1984-85 = 100) CPI of Agricultural Labourers (1986-87 = 100) WPI (1993-94 = 100) 1995–96 313 257 234 121.6 1996–97 342 283 256 127.2 1997–98 366 302 264 132.8 1998–99 414 337 293 140.7 1999–00 428 352 306 145.3 2000–01 444 352 306 155.7 2001–02 463 390 309 161.3 2002–03 482 405 319 166.8 2003–04 500 420 331 175.9 Source: Economic Survey, Government of India 2004-2005 (i) Calculate the inflation rates using different index numbers.(ii) Comment on the relative values of the index numbers.(iii) Are they comparable?

Answer»

Given the following data:












































































Year



CPI of Industrial


Workers


(1982 = 100)



CPI of Urban


Non-manual


Employees


(1984-85 = 100)



CPI of Agricultural


Labourers


(1986-87 = 100)



WPI


(1993-94 = 100)



1995–96



313



257



234



121.6



1996–97



342



283



256



127.2



1997–98



366



302



264



132.8



1998–99



414



337



293



140.7



1999–00



428



352



306



145.3



2000–01



444



352



306



155.7



2001–02



463



390



309



161.3



2002–03



482



405



319



166.8



2003–04



500



420



331



175.9



Source: Economic Survey, Government of India 2004-2005



(i) Calculate the inflation rates using different index numbers.


(ii) Comment on the relative values of the index numbers.


(iii) Are they comparable?

145.

Calculate mode of the following series, using grouping method: Size 40 44 48 52 56 60 64 68 72 76 Frequency 10 12 14 20 15 20 18 10 8 4

Answer» Calculate mode of the following series, using grouping method:





























Size 40 44 48 52 56 60 64 68 72 76
Frequency 10 12 14 20 15 20 18 10 8 4
146.

What is a census survey?

Answer»

What is a census survey?

147.

We are given the following marks secured by 25 students in an examination.23, 28,30, 32, 35, 36, 36, 40, 41, 43, 44, 44, 45, 48, 49, 52, 53, 54, 56, 56, 58, 61, 62, 65, 68.(i) Arrange this data in the form of a frequency distribution taking the following class intervals.20−29, 30−39, 40−49, 50−59 and 60−69(ii) Draw the frequency polygon and ogive for the above data.

Answer» We are given the following marks secured by 25 students in an examination.

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

(i) Arrange this data in the form of a frequency distribution taking the following class intervals.

20−29, 30−39, 40−49, 50−59 and 60−69

(ii) Draw the frequency polygon and ogive for the above data.
148.

Estimate coefficient of variation of the following data: Weight (kg) 0−20 20−40 40−60 60−80 80−100 Number of Persons 81 40 66 49 14

Answer» Estimate coefficient of variation of the following data:



















Weight (kg) 0−20 20−40 40−60 60−80 80−100
Number of Persons 81 40 66 49 14
149.

Explain four measures taken by the government to improve agricultural marketing.

Answer»

Explain four measures taken by the government to improve agricultural marketing.

150.

Construct a frequency distribution with a class interval of 4 on exclusive basis for the following data: 91, 94, 111, 121, 95, 103, 99, 110, 100, 101, 92, 105, 110, 111, 93, 96, 98, 106, 94, 115

Answer»

Construct a frequency distribution with a class interval of 4 on exclusive basis for the following data:

91, 94, 111, 121, 95, 103, 99, 110, 100, 101, 92, 105, 110, 111, 93, 96, 98, 106, 94, 115