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Guiding rules for tabulation - class-XI

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Let m be the mid-point be the upper class limit of a continuous frequency distribution The lower class limit of the class is

  1. $2m+L$

  2. $2m-L$

  3. $m-L$

  4. $m+2L$


Correct Option: B
Explanation:

Mid point=$\dfrac{upper  limit+ lower  limit}{2}$

$\Rightarrow m=\dfrac{L+lower  limit}{2}$
$\Rightarrow Lower   limit=2m-L$

The class marks in a frequency table are given to be $5,10,15,20,25,30,35,40,45,50$. The class limits of the first classes are 

  1. $3-7,7-17,13-17,17-23,23-27$

  2. $2.5-7.5,7.5-12.5,12.5-17.5,17.5-22.5,22.5-27.5$

  3. $1.5-8.5,8.5-11.5,11.5-18.5,18.5-21.5,21.5-28.5$

  4. $2-8,8-12,12-18,18-22,22-28$


Correct Option: A
Explanation:

$2.5 - 7.5, 7.5 - 12.5, 12.5 - 17.5, 17.5 - 22.5, 22.5 - 27.5$


Given,

$5,10,15,20,25,30,35,40,45,50$

the class limit is given by,

$\dfrac{5}{2}=2.5$

$\dfrac{5+10}{2}=7.5$

$\dfrac{10+15}{2}=12.5$

$\dfrac{15+20}{2}=17.5$

$\dfrac{20+25}{2}=22.5$

$\dfrac{25+30}{2}=27.5$

Class mark of a particular class is 6.5 and class size is 3 then class interval is:

  1. $5-8$

  2. $6.5-9.5$

  3. $3.5-6.5$

  4. $4-7$


Correct Option: A
Explanation:

Let the a be the lower limit of the class interval

Class size of the class interval =3
$\therefore$ Upper limit of the class interval$=a+3$
Class mark=6.5
$\therefore \dfrac{a+a+3}{2}=6.5$
$\Rightarrow 2a+3=6,5\times 2$
$\Rightarrow 2a=13-3$
$\Rightarrow 2a=10\Rightarrow a=\dfrac{10}{2}=5$
$\therefore a+3=5+3=8$
Hence class interval= $5-8$

The class marks of a frequency distribution are given as follow 15,20,25,...
The class corresponding to the class mark 20 is 

  1. $12.5-17.5$

  2. $17.5-22.5$

  3. $18.5-21.5$

  4. $19.5-20.5$


Correct Option: B
Explanation:

Width=5

Class marks=20
$\therefore  Lower\  limit=20-\dfrac{5}{2}$
$\Rightarrow \dfrac{40-5}{2}=\dfrac{35}{2}=17.5$
$Upper\  limit=20+\dfrac{5}{2}$
$\Rightarrow \dfrac{40+5}{2}=\dfrac{45}{2}=22.5$
Hence the class corresponding to the class mark 20 is $17.5-22.5.$

The data for test scores out of $5$ for $10$ students is given below:
$3,4,1,3,5,2,4,1,3,2$
Tabulate the given data and answer the questions.
How many students scored $4$ or more than $4$?

  1. $1$

  2. $2$

  3. $3$

  4. $4$


Correct Option: C
Explanation:

Two students scored $4$ and one student scored $5$

So the number of students scored $4$ or more than $4$ $=3$
Option $C$ is correct.

The total agricultural land in a village is $1200$ hectares. This is distributed among $320$ families who form four groups in the following pattern. It is assumed that the land is distributed equally within each group. Identify the group of small farmers

Group Number of families Total amount of land owned and operatedby each group (in hectares)
A 100 300
B 180 300
C 30 300
D 10 300
  1. A

  2. B

  3. C

  4. D


Correct Option: B
Explanation:

In group of small farmers, it would be minimum land available to each farmer.

So we will find the ration of total amount of land owned and operated by each group to the number of families.
From A,  $\dfrac {300}{100} = 3$
From B,  $\dfrac {300}{180} = 1.67$
From C,  $\dfrac{300}{30} = 10$
From D,  $\dfrac {300}{10} = 30$
B is the group of small farmers.
Option B is correct.

Fill the alternative given in the bracket:
Systematic arrangement of data in table and row is called _________.

  1. tabulation

  2. graph

  3. caption

  4. pie chart


Correct Option: A

 A serious drawback of this method of presentation is ______.

  1. it enables one to emphasise certain points of the presentation

  2. one has to go through the complete text of presentation for comprehension

  3. both A and B

  4. none of these


Correct Option: B

Arrangement of data in rows and columns is called classification of data.

  1. True

  2. False


Correct Option: B

Select the correct statement:

  1. Normative statements can be challenged with evidence.

  2. Normative statement deals with ought to be situation.

  3. Positive statement deals with should be situation.

  4. None


Correct Option: B

An arrangement of data in row and columns is called classification of data.

  1. True

  2. False


Correct Option: B

A simple table represents __________.

  1. only one factor or variable

  2. always two factors or variable

  3. Two or more number of factors or Variavles

  4. all the above


Correct Option: A

Whether tabulation is done first or classification?

  1. Both are done simultaneously

  2. Classification precedes tabulation

  3. Classification follows tabulation

  4. No criterion


Correct Option: B

The headings of the rows given in the first column of a table are called ________.

  1. stubs

  2. captions

  3. sub titles

  4. prefatory notes


Correct Option: A

Numerical data presented in descriptive form are called ________.

  1. classified presentation

  2. tabular presentation

  3. graphical presentation

  4. textual presentation


Correct Option: D

A complex table represents _______.

  1. only one factor or variable

  2. always two factors or variables

  3. two or more factors or variables

  4. all the above


Correct Option: C

What percentage of values is less than 4th decile?

  1. $50\%$

  2. $70\%$

  3. $40\%$

  4. None of the above


Correct Option: A

The following series is of the type of 

Marks No.of students
10-15 20
15-20 21
20-25 26
25-30 15
30-35 7
35-40 3
  1. Discrete

  2. Continious

  3. Individual

  4. Time series


Correct Option: B

The following series is of the type of 

Person Age(in years)
A 35
B 23
C 26
D 32
E 30
  1. Individual

  2. Discreate

  3. Geographical

  4. Times series


Correct Option: A

In an ordered series, the data are ________.

  1. in descending order

  2. in ascending order

  3. either (1) or (b)

  4. neither (a) nor (b)


Correct Option: C

Class mark of class interval 60 - 70 is

  1. 60

  2. 70

  3. 65

  4. 75


Correct Option: C
Explanation:

Class mark is the mid point of the class interval.

Therefore, the class mark for the interval $60-70$ is $\dfrac{60+70}{2}=\dfrac{130}{2}=65$

The data given as 22,27,28,29,35,37,55,62 will be called as ________.

  1. a continuous series

  2. a discrete series

  3. an individual series

  4. time series


Correct Option: C

Which of the following is not two-dimensional diagram? 

  1. Pie-chart

  2. Multiple bar diagram

  3. Rectangular diagram

  4. Square diagram


Correct Option: B

The following series is of the type of

Year Population in a particular city
1995 19,00,000
1996 19,20,000
1997 25,00,000
1998 25,50,000
  1. individual series

  2. geographical

  3. discrete series

  4. time series


Correct Option: D

Simple tabulation gives information about several ___________ characteristics.

  1. independent

  2. dependent

  3. categorized

  4. None of these


Correct Option: B
Explanation:
Characteristics has to be dependent to be tabulated.
Simple tabulation provide information about various dependent characteristics.

In tabulation, the source of the data, if any, is shown in the ________.

  1. footnotes

  2. body

  3. stub

  4. caption


Correct Option: A

__________ are used to clarify anything which is not otherwise clear by the heading, title, captions, stub etc.

  1. Source Note

  2. Footnotes

  3. IMP Notes

  4. None of above


Correct Option: B

Which of the following statements is untrue for tabulation?

  1. Statistical analysis of data requires tabulation

  2. It facilitates comparison between rows and not columns

  3. Complicated data can be presented

  4. Diagrammatic representation of data requires tabulation


Correct Option: B

The times, in seconds, taken by 150 atheletes to run a 110 hurdle race are tabulated below :

Class Frequency
13.8-14 2
14-4.2 4
14.2-14.4 5
14.4-14.6 71
14.6-14.8 48
14.8-15 20

The number of atheletes who completed the race in less then 14.6 seconds is :

  1. $11$

  2. $71$

  3. $82$

  4. $130$


Correct Option: C
Explanation:

The number of athletes who completed the race in $<14.6$ seconds is $n(13.8-14)+n(14-14.2)+n(14.2-14.4)+n(14.4-14.6)$

$=2+4+5+71=82$

The prices of diamond having a particular color and clarity are tabulated below:

weight of Diamond (in Carats) Price of Diamond (in rupees/carat)
0.25 1 Lakh 
0.5 2 Lakh
1 4 Lakh
2 8 Lakh

How many 0.25 carat diamonds can be purchased for the price of a 2 carat diamond ?

  1. 8

  2. 16

  3. 32

  4. 64


Correct Option: A

marks (out of 10) obtained by 35 students in a Science test are listed as bel 8, 1, 2.6, 5, 0, 1, 9, 7, 8, 0,5, 8, 3, 0,8,1,0, 3,4,8,7, 8,9,2,0 1,3,2 a)

  1. Find the number of students who obtained marks more than or equal to 5

  2. Find the numbers of students who scored zero in the test?

  3. If the passing criterion is equal or above six, what is the passing percentage

  4. If the passing criterion is equal or above six, what i the passing percentage?


Correct Option: A

The following table gives information regarding land holdings of household of a village 

Size of land holding  Number of houehold
More than 1 acre 1727
More than 2 acre 1268
More than 3 acre 378
More than 4 acre 155
More than 5 acre 52

in the village there are 2270 households. The number of households having land up to 1 acre is 

  1. 1727

  2. 459

  3. 543

  4. 378


Correct Option: C
Explanation:

Total no. of households in the village $=2270$

Total no. of households in the village who has land more than one acre $=1727$

Hence,
Total no. of households having land up to one acre $=2270-1727\Rightarrow 543.$

There are $500$ students in a class in which there are $100$ boys. 50 boys like Mathematics and 100 girls dislike Mathematics. Tabulate the given data and calculate the number of girls who like the subject Mathematics.

  1. $50$

  2. $100$

  3. $150$

  4. $300$


Correct Option: D
Explanation:
   Like Mathematics  Dislike Mathematics
 No. of Boys                 $50$                     $y$ 
 No. of Girls                  $x$                   $100$

Total number of students $= 500$

Number of boys $= 100$
Number of girls $= 400$

$50 + y = 100$               $\Rightarrow y= 50$
$x + 100 = 400$             $\Rightarrow x= 300$

$\therefore$ Number of girls who like Mathematics $= 300$

The population of Maharashtra is $100$ lacs, Madhya Pradesh is $125$ lacs and that of Haryana is $75$ lacs. Tabulate this data and find the total population of all the three states.

  1. $200$ lacs

  2. $225$ lacs

  3. $300$ lacs

  4. $420$ lacs


Correct Option: C
Explanation:
 State  Maharashtra  Madhya Pradesh  Haryana
 Population  $100$ lacs  $125$ lacs  $75$ lacs

Total population of all the three states $= 100 + 125 + 75 = 300$ lacs

In a factory, there are $1000$ workers out of which $400$ are men and $100$ are married. Out of $600$ women, $300$ are married. Tabulate this data and calculate the total number of unmarried workers.

  1. $400$

  2. $600$

  3. $700$

  4. $800$


Correct Option: B
Explanation:
   Married Workers Unmarried Workers
 Men                 $100$                      $x$
 Women                 $300$                      $y$


Total number of men $= 400$
$\therefore 100 + x = 400$
                $x = 300$

Total number of women $= 600$
$\therefore 300 + y = 600$
                $y = 300$
Total number of unmarried workers $= x + y = 600$

The data for test scores out of $5$ for $10$ students is given below:
$3,4,1,3,5,2,4,1,3,2$
Tabulate the given data and  find how many students scored $3$ or more than $3$ marks?

  1. $5$

  2. $6$

  3. $8$

  4. $10$


Correct Option: B
Explanation:
|  Number greater than and equal to $3$ |  Number of times | | --- | --- | |  $3$ |  $3$ | |  $4$ |  $2$ | |  $5$ |  $1$ |
The number to be counted from the test score will be $3$, $ 4$and $5$
In the following data, 
we observe that $3$ will be three times
$4$ will be two times.
$5$ will be one time
$(3+2+1)=6$ students scored $3$ or more than $3$ marks.

 When the quantity of data is not too large _______ form of presentation is more suitable.




  1. textual

  2. tabular

  3. graphical

  4. none of these


Correct Option: A

When data are tabulated on the basis of  hours, days, weeks, months, years, etc it is called _________ classification.


  1. spatial

  2. temporal

  3. quantitative

  4. none of the above 


Correct Option: B

The _____ of a table narrates about the contents of the table.

  1. table number

  2. title

  3. caption

  4. heading


Correct Option: B
Explanation:

A table must have a title that narrates about the content of the table. It should be written in bold on top of the table.
The title must be simple, clear and short to explain the data correctly.

In _______ classification, the data are classified on the basis of characteristics which can be measured quantitatively..

  1. quantitative

  2. temporal

  3. spatial

  4. none of the above 


Correct Option: A

When classification is done according to qualitative characteristics like social status, physical status, nationality, etc., it is called ______ classification.

  1. temporal

  2. qualitative

  3. spatial

  4. none of these


Correct Option: B

 __________ is assigned to a table for identification purpose.

  1. Title

  2. Table number

  3. Both A and B

  4. None of these


Correct Option: B

When classification is done in such a way that place becomes the classifying variable, it is called ______ classification.

  1. temporal

  2. qualitative

  3. spatial

  4. none of the above 


Correct Option: C

Fill the Alternative given in the bracket:
Column heading is called __________.

  1. Row

  2. stub

  3. caption

  4. body


Correct Option: C

Fill the Alternative given in the bracket:
Histogram is used to present __________ series.

  1. individual

  2. discrete

  3. continuous

  4. both discrete and continuous


Correct Option: C

Fill the Alternative given in the bracket:
_______ is an orderly arrangement of data in rows and colums.

  1. Histogram

  2. Frequency Curve

  3. Table

  4. Diagram


Correct Option: C

The total expenditure made by an industry under different heads is presented by

  1. Histogram

  2. Line graph

  3. Bar graph

  4. None of the above


Correct Option: A

Trend and Pattern of data can only be understood if data is in a _________.

  1. Descriptive manner

  2. tabular form

  3. Both a&b

  4. None of the above


Correct Option: B

Stubs are ______________.

  1. heading for the vertical column

  2. heading of the horizontal column

  3. a title of head notes

  4. None of the above


Correct Option: B

Tabulation of data makes the presentation of facts and figures ___________.

  1. more simplified

  2. more understandable

  3. Both a&b

  4. It is lengthy and occupies space


Correct Option: C

Footnotes are used ______________.

  1. to point at any specific data which was not expressed in heading

  2. table numbers

  3. source note

  4. a note at the foot ofdocument


Correct Option: A

Class mark of a particular class is 10.5 and class size is 7, then class interval is :

  1. 10.5 -17.5

  2. 3.5 -10.5

  3. 7 -17.5

  4. 7 -14


Correct Option: D
Explanation:

Class mark is the mid point of the class interval. 

Class size is the upper limit minus lower limit.
Given that class mark of a class is $10.5$ and 

class size is $7$
By option verification,
Opition A class mark is $\dfrac{10.5+17.5}{2}=\dfrac{28}{2}=14$ False

Option B class mark is $\dfrac{10.5+3.5}{2}=\dfrac{14}{2}=7$ False

Option C class mark is $\dfrac{17.5+7}{2}=\dfrac{24.5}{2}=12.25$ False

Option D class size is $14-7=7$ and
Class mark is $\dfrac{14+7}{2}=\dfrac{21}{2}=10.5$ True

Therefore the class interval is $7-14$

The information invariably required to be put in a good statistical table is/are ___________.

  1. Descriptive thinking

  2. Table number

  3. Head note

  4. Both b&c


Correct Option: D

If upper limit of one class coincides with the lower limit of another class. It is known as __________.

  1. exclusive class intervals

  2. inclusive class intervals

  3. interval

  4. nominal


Correct Option: A

"An average is a value which is typical or representative of a set of data". This definition is given by.

  1. Croxton and Cowden

  2. Simpson and Kafka

  3. Clark and Sekkade

  4. Murry R. Spiegal


Correct Option: D

The formulae of CAPABILITY is __________.

  1. C = F (TA, IS, S)

  2. C = Capabilities (TA + IA)

  3. None of these

  4. All of these


Correct Option: A

A measure of central tendency means
I. Representative of a set of data.
II. A single figure which is representative of whole distribution.
III. An average of a distribution.
Which of the following is correct answer?

  1. I

  2. II

  3. III

  4. All of the above


Correct Option: D

_______ of data refers to the table where data are classified on the basis of single characteristics.

  1. Complex Tabulation

  2. Reference Tabulation

  3. Simple Tabulation

  4. Specific Tabulation


Correct Option: C

The runs scored by two teams.

Over Team $A$ Team $B$
$0-6$ $2$ $5$
$6-12$ $1$ $6$
$12-18$ $8$ $2$
$18-24$ $9$ $10$
$24-30$ $4$ $5$
$30-36$ $5$ $6$
$36-40$ $6$ $3$
  1. $4,1$

  2. $3,2$

  3. $5,5$

  4. $7,2$


Correct Option: A

In _________ classification time becomes the classifying variable and data are categorized according to time.

  1. spatial

  2. quantitative

  3. qualitative

  4. temporal


Correct Option: D
Explanation:

Temporal classification of data refers to categorization of data on the basis of varying time-periods of which the data has been collected. This classification is thus useful for classification of time-series data according to time.

In _____ presentation, data are described within the text.

  1. textual

  2. tabular

  3. graphical

  4. both B and C


Correct Option: A

Tabulation can be done using _______ classification depending upon the number of characteristics involved.

  1. one-way

  2. two-way

  3. three-way

  4. A or B or C


Correct Option: D
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