Tag: business economics and quantitative methods

Questions Related to business economics and quantitative methods

F-test is used to test the significance of the differences between ______________.

business economics and quantitative methods correlation analysis aspects of correlation scatter graphs and correlation linear regression

  1. co-efficient of correlation between two sample groups

  2. co-efficient of correlation among more than two sample groups

  3. average between two sample groups

  4. averages of more than two sample groups

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Correct Option: A

Match the following items in List - I with most suitable options in List - II:

List-I List-II
(a) Fisher 1. Inverse probability
(b) Karl Pearson 2. Normal Distribution
(c) Thomas Baye's 3. Correlation Coefficient
(d) Karl Gauss 4. Index Numbers
business economics and quantitative methods correlation analysis aspects of correlation scatter graphs and correlation linear regression

  1. $(a) - 4, (b) - 3, (c) - 2, (d) - 1$

  2. $(a) - 4, (b) - 3, (c) - 1, (d) - 2$

  3. $(a) - 4, (b) - 2, (c) - 3, (d) - 1$

  4. $(a) - 4, (b) - 2, (c) - 1, (d) - 3$

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Correct Option: B

__________  gives a precise numerical value of the degree of linear relationship between two variables X and Y.

business economics and quantitative methods correlation analysis aspects of correlation scatter graphs and correlation linear regression

  1. Scatter diagram

  2. Spearmans coefficient of correlation

  3. Karl Pearsons Coefficient of Correlation

  4. None

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Correct Option: C

Standard deviation is calculated from the Harmonic Mean (HM).

business economics and quantitative methods measures of dispersion and skewness shortcut method to find variance and standard deviation variance and standard deviation measures of dispersion

  1. Always

  2. Sometimes

  3. Never

  4. None of these

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Correct Option: C
Explanation:

Standard deviation is calculated from mean $i.e$ arithmetic mean.

It never be calculated from harmonic mean.

Lowest value of variance can be:

business economics and quantitative methods measures of dispersion and skewness shortcut method to find variance and standard deviation variance and standard deviation measures of dispersion

  1. $1$

  2. $-1$

  3. $0$

  4. None of these

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Correct Option: C
Explanation:
We know that $Var(x)=E(X^2)-(E(x))^2$

Variance is non-negative because the squares are positive or zero.

Therefore, $Var(X)\geq 0$

Hence, the lowest value of variance is $zero$

What is the standard deviation of $7,9,11,13,15$?

business economics and quantitative methods measures of dispersion and skewness shortcut method to find variance and standard deviation variance and standard deviation measures of dispersion

  1. $2.4$

  2. $2.5$

  3. $2.7$

  4. $2.8$

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Correct Option: A
Explanation:

Given numbers are $ 7,9,11,13,15$
Mean of given numbers $=\dfrac { 7+9+11+13+15 }{ 5 } =11$
Standard deviation$=\dfrac { |7-11|+|9-11|+|11-11|+|13-11|+|15-11| }{ 5 } =2.4$
Option A is true

__________ is the positive square root of the mean of squared deviations from mean. 

business economics and quantitative methods measures of dispersion and skewness shortcut method to find variance and standard deviation variance and standard deviation measures of dispersion

  1. Mean Deviation

  2. Standard Deviation

  3. Quartile Deviation

  4. None of the above

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Correct Option: B

Which of the following are Methods of calculating Standard Deviation?

business economics and quantitative methods measures of dispersion and skewness shortcut method to find variance and standard deviation variance and standard deviation measures of dispersion

  1. Actual Mean Method

  2. Assumed Mean Method

  3. Step-Deviation Method

  4. All of these

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Correct Option: D

Which of the following is true?

business economics and quantitative methods measures of dispersion and skewness shortcut method to find variance and standard deviation variance and standard deviation measures of dispersion

  1. Standard Deviation is not affected by the value of the constant from which deviations are calculated.

  2. The value of the constant does not figure in the standard deviation formula

  3. Standard Deviation is Independent of Origin.

  4. All of these

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Correct Option: D

Which of the following represents median?

business economics and quantitative methods measures of dispersion and skewness shortcut method to find variance and standard deviation variance and standard deviation measures of dispersion

  1. First quartile

  2. Fiftieth percentile

  3. Sixth decile

  4. None of the above

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Correct Option: B