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Multiple choice economics partition values introduction to statistics introduction to statistical method and econometrics frequency distribution tables and graphs

Which one of the following represents statistical data?

  1. The names of all owners of shops located in a shopping complex.

  2. A list giving the names of all states of India.

  3. A list of all European countries and their respective capital cities.

  4. The volume of a rainfall in certain geographical area, recorded every month for 24 consecutive months.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
$\Rightarrow$  Statistics is a very broad subject, with applications in a vast number of different fields.
$\Rightarrow$  Statistics is the methodology which scientists and mathematicians have developed for interpreting and drawing conclusions from collected data. 
$\Rightarrow$  Everything that deals even remotely with the collection, processing, interpretation and presentation of data belongs to the domain of statistics, and so does the detailed planning of that precedes all these activities.
$\Rightarrow$  Statistics consists of a body of methods for collecting and analyzing data.
$\therefore$  Option $D$ represent statistical data, since its collecting and analyzing the data.

Multiple choice economics partition values introduction to statistics introduction to statistical method and econometrics frequency distribution tables and graphs

The price of an article was increased by $r$%. Later the new price was decreased by $r$%. If the latest price was Re. $1$, then the original price was:

  1. Re. $1$
  2. Rs. $\left( \cfrac { 1-{ r }^{ 2 } }{ 100 } \right) $
  3. Rs. $\cfrac { \sqrt { 1-{ r }^{ 2 } } }{ 100 } $
  4. Rs. $\left( \cfrac { 10000 }{ 10000-{ r }^{ 2 } } \right) $
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
Let the original price of product be 'P'
Price increased by r%
$\therefore$ Increased price$=P\left( 1+\cfrac { r }{ 100 }  \right) $
New price decreased by r%
$\therefore $ Latest price$=\left[ P\left( 1+\cfrac { r }{ 100 }  \right)  \right] \left( 1-\cfrac { r }{ 100 }  \right) $
$=P\left( 1+\cfrac { { r }^{ 2 } }{ { 100 }^{ 2 } }  \right) $
Given latest price=Re. $1$
$\therefore P\left( 1+\cfrac { { r }^{ 2 } }{ { 100 }^{ 2 } }  \right) =1$
$P=$Rs. $\left( \cfrac { 10000 }{ 10000-{ r }^{ 2 } }  \right) $
Multiple choice economics partition values introduction to statistics introduction to statistical method and econometrics frequency distribution tables and graphs

A set of annual numerical data, comparable over the years, is given for the last $12$ years.
Consider the following statements:
$1.$ The data is best represented by a broken line graph, each corner (turning point) representing the data of one year.
$2.$ Such a graph depicts the chronological change and also enables one to make a short-term forecast.
Which of the above statements is/are correct?

  1. $1$ only
  2. $2$ only
  3. Both $1$ and $2$
  4. Neither $1$ nor $2$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The first statement is true as we can easily track the ups and downs of datat form 1 year to the next.

Statement 2 is false as the graph would require some kind of mathematical model to predict the short-term forecast and would not be helpful on its own.