Tag: introduction to statistical method and econometrics

Questions Related to introduction to statistical method and econometrics

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

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

  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.

Show answer
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 
 $\frac{{{G _1}{G _2}}}{{{H _1}{H _2}}} = \frac{{{A _1} + {A _2}}}{{{H _1} + {H _2}}} = \frac{{\left( {2a + b} \right)\left( {a + 2b} \right)}}{{9ab}}$

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

  1. True

  2. False

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Correct Option: A

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

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

  1. class interval

  2. range

  3. frequency

  4. mean

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

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

  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

Show answer
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
$5,7,10,11,12,15,16$

A numerical value used as a summary measure for a sample, such as sample mean, is known as a:

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

  1. population parameter

  2. sample parameter

  3. sample statistic

  4. population mean

Show answer
Correct Option: C
Explanation:

If it pertains to sample it is called a statistic, if it pertains to the population it is called a parameter.
Ans-Option $C$.

Find the correct descending order
$9.1, 3.7, 5.6, 8.3, 11.5, 10.6$

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

  1. $8.3,11.5, 10.6, 9.1, 5.6, 3.7$

  2. $11.5, 10.6, 9.1, 8.3, 5.6, 3.7$

  3. $11.5, 10.6, 9.1, 8.3, 3.7, 5.6$

  4. None of these

Show answer
Correct Option: B
Explanation:

Given series is $9.1, 3.7, 5.6, 8.3, 11.5, 10.6$

Descending means high to low.
Therefore, descending order of the given series is $11.5, 10.6, 9.1, 8.3, 5.6, 3.7$.

Find the correct ascending order of $6.3, 5.9, 9.8, 12.3, 5.6, 4.7$.
economics partition values introduction to statistics introduction to statistical method and econometrics frequency distribution tables and graphs

  1. $4.7, 5.6,6.3,5.9. 9.8, 12.3$

  2. $4.7, 5.6, 5.9, 6.3, 12.3, 9.8$

  3. $4.7, 5.6, 5.9, 6.3, 9.8, 12.3$

  4. None of these

Show answer
Correct Option: C
Explanation:
Given order is $6.3, 5.9, 9.8, 12.3, 5.6, 4.7$.
Ascending means low to high. 
Therefore, rearranging the given series again, we get $4.7, 5.6, 5.9, 6.3, 9.8, 12.3$

Find the correct descending order
$2, 0, 3, 4, 1, 2, 3, 5$

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

  1. $5, 4, 3, 2,3, 2, 1, 0$

  2. $5, 4, 3, 3, 2, 2, 1, 0$

  3. $4,5, 3, 3, 2, 2, 1, 0$

  4. $5, 4, 3, 3, 2, 2, 0,1$

Show answer
Correct Option: B
Explanation:
Given, series is $2,0,3,4,1,2,3,5$
Descending means high to low.
Therefore, the descending order is $5,4,3,3,2,2,1,0$.

Which one of the following is not correct?

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

  1. Statistics is liable to be misused

  2. The data collected by the investigator to be used by himself are called primary data

  3. Statistical laws are exact

  4. Statistics do not take into account of individual cases

Show answer
Correct Option: C
Explanation:

(A) Statistics is liable to be misused is wrong 

(B) the data collected by the investigator to be used simself are called primary data wrong
(C) Statistical laws are extract is correct
(D) statistics do not take into account of individual cases is wrong 
Then is the correct answer.

Which of the following represents statistical data?

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

  1. The names of 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 rainfall in a certain geographical area recorded every month for 24 consecutive months

Show answer
Correct Option: D