CBSE Questions for Class 11 Commerce Economics Measures Of Dispersion Quiz 7 - MCQExams.com

Find the mean deviation about the mean as well as the coefficient of Mean Deviation about mean of the following set data:$$ 4, 7, 14, 11, 9$$.
  • $$2.8$$ and $$0.311$$
  • $$2.1$$ and $$0.211$$
  • $$24.8$$ and $$0.411$$
  • $$21.3$$ and$$0.566$$
Which of the following is correct about measure of dispersion?
  • It does not measure direction of the variation.
  • Dispersion measures the extent to which the items vary from some central value
  • Measures only degree of variation
  • All of the above
The mean deviation about median for the following data  is 4.4.calculate value of $$x$$
$$2,3,x,10,17$$.
  • $$3$$
  • $$5$$
  • $$7$$
  • $$17$$
If mean deviation about Mean of a particular data consisting $$10$$ observations is$$7$$, then what will be value of mean deviation when each is multiplied by $$5$$?
  • $$35$$
  • $$45$$
  • $$55$$
  • $$65$$
The study of standard error will help_____________.
  • to test if the value of sample differs significantly from their corresponding value of the population
  • to test significant difference between two sample means and proportions
  • to calculate point estimate of the population
  • all of the above
The standard error estimate is used to measure____________.
  • the dispersion from the arithmetic mean
  • the deviation from the average
  • both (A) and (B)
  • none of the above
The standard error of two means is equal to__________.
  • $$\sqrt{\dfrac{{\sigma}^{2}_{1}}{{n}_{1}}+\dfrac{{\sigma}^{2}_{2}}{{n}^2}}$$
  • $$\dfrac{\sigma}{\sqrt{n-1}}$$
  • $$\dfrac{\sigma}{\sqrt{n+1}}$$
  • $$\sqrt{\dfrac{{P}_{1}{Q}_{1}}{\sqrt{n}_{1}}+\dfrac{{P}_{2}{Q}_{2}}{{n}_2}}$$
Variance of first $$20 $$ natural number is 
  • $$\cfrac { 133 }{ 4 } $$
  • $$\cfrac { 379 }{ 12 } $$
  • $$\cfrac { 133 }{ 2 } $$
  • $$\cfrac { 399 }{ 4 } $$
_________ may be defined as the positive square root of arithmetic mean of the squares of all the deviations of the values from their arithmetic mean.
  • Dispersion
  • Correlation of coefficient
  • Standard deviation
  • Inter-Quartile Range
According to _____, "The measure of the scatteredness of the mass of figures in a series about an average is called the measure of variation or dispersion".
  • A.L. Bowley
  • Spiegel
  • Simpson and Kafka
  • L.R. Connor
The roots of the equation (x-2)(x-3)(x+3) are _______.
  • (2,3,-3)
  • (3,2,-4)
  • (1,2,3)
  • (2,2,-3)
Value of each sample observation is decreased by $$25$$, the range of the sample observation will ____________.
  • increase by $$25$$
  • remain same
  • decrease by $$25$$
  • increase by $$2$$ times
What will be the relative range, if the spread of items in a given distribution lies between $$100$$ and $$180$$kg?
  • $$0.5$$
  • $$0.4$$
  • $$0.3$$
  • $$0.55$$
The mean of the following observation is $$10, 19, 22, 16, 15, 18, 20, 18, 14, 18, 23$$.
  • $$17.55$$
  • $$18$$
  • $$15$$
  • $$16.5$$
If a constant value $$40$$ is subtracted from each observation of a set, the mean of the set is __________.
  • increased by $$40$$
  • decreased by $$40$$
  • is not affected
  • zero
Which measure is based on only the central fifty percent of the observations?
  • Standard deviation
  • Quartile deviation
  • Mean deviation
  • All of above
An index is at 100 inIt rises 5% in 1992, falls 6% in 1993,falls 5% in 1994, rises 4% in 1995 and 7% in 1996.The index numbers for all these years with 1991 as base are _______.
  • 100, 105, 94, 105, 95, 107
  • 100, 105, 94, 105, 107, 95
  • 100, 105, 94, 107, 95, 94
  • 100, 105, 94, 95, 104, 107
If each value of a series is multiplied by $$7$$, the median of the coded value is _______.
  • not affected
  • $$7$$ times the original median value
  • $$(1/7)th$$ times the original median value
  • increased by $$7$$
The standard deviation is usually denoted by Greek letter.
  • $$\infty$$
  • $$\not {c}$$
  • $$\sigma$$
  • $$\mu$$
Which of the following represents median?
  • First quartile
  • Fiftieth percentile
  • Sixth decile
  • None of the above
If each observation of a set is multiplied by $$5$$, the mean of the new setoff observations ______.
  • remains the same
  • is $$5$$ times the original mean
  • is $$(1/5)$$ times the original mean
  • is increased by $$5$$
Which one is an absolute measure of dispersion?
  • Range
  • Mean Deviation
  • Standard Deviation
  • All of above
The mode of the following observations is $$10, 19, 22, 16, 15, 18, 20, 18, 14, 18, 23$$
  • $$17.55$$
  • $$18$$
  • $$15$$
  • $$16.5$$
If the A.M of a set of observations is $$9$$ and its G.M is $$6$$. Then the H.M of the set of observations is ____.
  • $$4$$
  • $$6$$
  • $$3$$
  • None of them
The following distribution of ages (in complete years) is obtained for the students of higher secondary.
The median of the distribution is

Age (in years)15161718192021
Number of students12182010762
  • $$17.11$$
  • $$17$$
  • $$18$$
  • None of them
The mean of the following observations is
$$10, 8, -9, -12, 15, 0, 23, -3, -2, 13, -24, 28, 35, 42$$
  • $$4$$
  • $$-2$$
  • $$7$$
  • $$-9.75$$
Which of the following relation is true between $$3^{rd}$$ decile and $$30^{th}$$ percentile?
  • $$D_7 = P_{70}$$
  • $$D_7 = P_{30}$$
  • $$D_3 = P_{30}$$
  • $$D_3 = P_{70}$$
If each observation of a set is divided by $$5$$, then the mean of new values _________.
  • is $$5$$ times the original mean
  • is decreased by $$5$$
  • is $$(1/5)th$$ of the original mean
  • remains the same
The A.M of two numbers is $$6.5$$ and their G.M is $$6$$. The two numbers are _____.
  • $$8, 6$$
  • $$8, 5$$
  • $$7, 16$$
  • $$4, 9$$
The third quartile of the following observations is
$$10, 19, 22, 16, 15, 18, 20, 18, 14, 18, 23$$.
  • $$17.55$$
  • $$18$$
  • $$15$$
  • $$20$$
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