Tag: economics

Questions Related to economics

A candidate who gets $20$% marks in an examination fails by $30$ marks but another candidate who gets $32$% gets $42$ marks more than the pass mark. Then, the percentage of pass mark is

  1. $52$

  2. $50$

  3. $33$

  4. $25$


Correct Option: D
Explanation:

Let the total marks be $x$.
According to the question,
$\dfrac {20}{100}\times x + 30 = \dfrac {32}{100} \times x - 42$
$42 + 30 = \dfrac {32}{100}x - \dfrac {20}{100}x$
$72\times 100 = 12x \Rightarrow x = 600$
Passing marks $= \dfrac {20}{100}x + 30 = \dfrac {20}{100}\times 600 + 30 = 150$
Required percentage $= \dfrac {150}{600}\times 100 = 25$%.

By the $18^{th}$ century, the term ______ designated the systematic collection of demographic and economic data by states.

  1. statistics

  2. probability

  3. mensuration

  4. trigonometry


Correct Option: A
Explanation:

By the $18^{th}$ century, the term statistics designated the systematic collection of demographic and economic data by states.

At the beginning of the $20^{th}$ century, who developed the methods for decision making based on small set of data?

  1. Gottfried Achenwall

  2. William S Gosset

  3. W. Hooper

  4. Shakespeare


Correct Option: B
Explanation:

At the beginning of the $20^{th}$ century, William S Gosset has developed the methods for decision making based on small set of data.he has developed t-distribution theory.

The word statistics have been derived from Latin word ______.

  1. sanus

  2. status

  3. stella

  4. spes


Correct Option: B
Explanation:

The word statistics have been derived from Latin word "status".

In which year history of statistics can be said to start around?

  1. $1789$

  2. $1756$

  3. $1749$

  4. $1752$


Correct Option: C
Explanation:

The history of statistics can be said to start around in the year $1749$.

In the year $1602$, who used the word "statist" in his drama Hamlet?

  1. Charles Walker

  2. Jane West

  3. John Wallis

  4. William Shakespeare


Correct Option: D
Explanation:

William Shakespeare used the word statist in his drama Hamlet $1602$.

Since the population size is always larger than the sample size, then the sample statistic -

  1. Can never be larger than the population parameter

  2. Can never be equal to the population parameter

  3. Can never be zero

  4. Can never be smaller than the population parameter

  5. None of the above answers is correct.


Correct Option: E
Explanation:

Sample statistic will depend upon the sample chosen. 
It can be less than, greater than, equal to population parameter. 
It can assume the value of zero.
Ans-Option $E$.

Let $a$ and $b$, be positive real numbers. If $a,{A _1},{A _2},b$ are in $A.P$ and $a,{G _1},{G _2},b$ are in $G.P$ and $a,{H _1},{H _2},b$ are in $H.P$ ,then 
 $\frac{{{G _1}{G _2}}}{{{H _1}{H _2}}} = \frac{{{A _1} + {A _2}}}{{{H _1} + {H _2}}} = \frac{{\left( {2a + b} \right)\left( {a + 2b} \right)}}{{9ab}}$

  1. True

  2. False


Correct Option: A

The difference of maximum and minimum values in a data is called 

  1. class interval

  2. range

  3. frequency

  4. mean


Correct Option: B
Explanation:

Suppose that we had a data $A=\left{a _1,a _2.........a _n\right}$then

$Max.A=a _k, 1\leq k\leq n$
$minA=a _j, 1\leq j\leq n$
then for every $a _i\in A$
$a _j\leq a _i \leq a _k$
So,
$a _k-a _j$ is called range of A

Find the correct ascending order
$7, 5, 15, 12, 10, 11, 16$

  1. $5, 7, 10, 11, 12, 15, 16$

  2. $5, 7, 10, 11, 12, 16, 15$

  3. $5, 7, 11, 10, 12, 15, 16$

  4. None of these


Correct Option: A
Explanation:
Given order is $7,5,15,12,10,11,16$.
Ascending is low to high. 
Now rearranging the series, we get
$5,7,10,11,12,15,16$