Tag: vital statistics and official statistics

Questions Related to vital statistics and official statistics

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

statistics vital statistics and official statistics guiding rules for tabulation vital statistics textual and tabular presentation of data

  1. $2m+L$

  2. $2m-L$

  3. $m-L$

  4. $m+2L$

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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 

statistics vital statistics and official statistics guiding rules for tabulation vital statistics textual and tabular presentation of data

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

Show answer
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:

statistics vital statistics and official statistics guiding rules for tabulation vital statistics textual and tabular presentation of data

  1. $5-8$

  2. $6.5-9.5$

  3. $3.5-6.5$

  4. $4-7$

Show answer
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 

statistics vital statistics and official statistics guiding rules for tabulation vital statistics textual and tabular presentation of data

  1. $12.5-17.5$

  2. $17.5-22.5$

  3. $18.5-21.5$

  4. $19.5-20.5$

Show answer
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 $17.5-22.5.$

Person $A$ $B$ $C$ $D$ $E$
Profeesion Hort. Indust. Phys. Journa. Advocate
Choice Tea Coffee Tea Coffee Tea

Which of the following groups includes a person who likes tea but is not an advocate?

statistics vital statistics and official statistics guiding rules for tabulation vital statistics textual and tabular presentation of data

  1. $ACE$

  2. $DE$

  3. $BCE$

  4. None of these

Show answer
Correct Option: D
Explanation:

From table,A and C prefer Tea who are not advocate.

Person $A$ $B$ $C$ $D$ $E$
Profeesion Hort. Indust. Phys. Journa. Advocate
Choice Tea Coffee Tea Coffee Tea

Who is the horticulturist?

statistics vital statistics and official statistics guiding rules for tabulation vital statistics textual and tabular presentation of data

  1. $A$

  2. $B$

  3. $C$

  4. $D$

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Correct Option: A
Explanation:

From table,A is horticulturist.

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 $4$?

statistics vital statistics and official statistics guiding rules for tabulation vital statistics textual and tabular presentation of data

  1. $1$

  2. $2$

  3. $3$

  4. $4$

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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
statistics vital statistics and official statistics guiding rules for tabulation vital statistics textual and tabular presentation of data

  1. A

  2. B

  3. C

  4. D

Show answer
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.

Person $A$ $B$ $C$ $D$ $E$
Profeesion Hort. Indust. Phys. Journa. Advocate
Choice Tea Coffee Tea Coffee Tea

Who is the industrialist?

statistics vital statistics and official statistics guiding rules for tabulation vital statistics textual and tabular presentation of data

  1. $E$

  2. $C$

  3. $B$

  4. $A$

Show answer
Correct Option: C
Explanation:

From table,B is Industrialist.

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

statistics vital statistics and official statistics guiding rules for tabulation vital statistics textual and tabular presentation of data

  1. tabulation

  2. graph

  3. caption

  4. pie chart

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Correct Option: A