CBSE Questions for Class 11 Commerce Economics Measures Of Dispersion Quiz 10 - MCQExams.com

The mean of $$100$$ observations is $$18.4$$ and sum of squares of deviations from mean is $$1444$$, the Co-efficient of variation is _______.
  • $$30.6$$
  • $$35.6$$
  • $$20.6$$
  • $$10.6$$
The standard deviation of $$5$$ items is found to be $$15$. What will be the standard deviation if the values of all the items are increased?
  • $$15$$
  • $$20$$
  • $$10$$
  • None of the above
The relation between variance and standard deviation is ________.
  • variance is the square root of standard Deviation
  • square of the standard deviation is equal to Variance
  • variance is equal to standard deviation
  • standard deviation is the square of the variance
The standard deviation of a set of $$50$$ items is $$8$$, what is the standard deviation, if each item is multiplied by $$2$$?
  • $$32$$
  • $$8$$
  • $$4$$
  • $$16$$
If each value of a series is multiplied by a constant, the coefficient of variation as compared to original value is _______.
  • increased
  • unaltered
  • decreased
  • zero
The coefficient of variation is?
  • The same as the variance
  • A measure of central tendency
  • A measure of absolute variability
  • A measure of relative variability
Each outcome of a random experiment is called ______.
  • primary event
  • probable event
  • complementary event
  • none of them
Which of the following statements is true of a measure of dispersion?
  • Mean deviation does not follow algebraic value
  • Range is crudest measure
  • Coefficient of variation is a relative measure
  • All the above statements
Probability can take values from ______.
  • -3 to 3
  • -3 to 1
  • 0 to 1
  • -1 to 1
Co-efficient of variation is?
  • Absolute variation
  • Static
  • Relative variation
  • None of the above
Probability is expressed as _______.
  • percentage
  • ratio
  • proportion
  • all (a), (b), (c)
If A and B are events, the probability of occurrence of A and B simultaneously is given as _______.
  • P(A) + P(B)
  • $$P(A\cup{B})$$
  • P(AB)
  • P(A) P(B)
Classical probability is measured in terms of _________.
  • absolute value and ratio both
  • a ratio
  • an absolute value
  • none of the above
If A and B are two events, the probability of occurrence of either A or B is given as _______.
  • P(A) + P(B)
  • $$P(A\cup{B})$$
  • P(A)P(B)
  • P(AB)
Consider the following statements:
(1) Mean is independent of change in scale and change in origin
(2) Variance is independent of change in scale but not in origin
Which of the above statements is/are correct?
  • 1 only
  • 2 only
  • Both 1 and 2
  • Neither 1 nor 2
The classes in which the lower limit or the upper limit is not specified are known as: _________.
  • Open end classes
  • Close end classes
  • Inclusive classes
  • Exclusive classes
Laspeyres Price Index =?
914174_163e4d7272164d05a8d3143a9aa92341.PNG
  • $$157.33$$
  • $$153.14$$
  • $$153.33$$
  • $$157.14$$
Laspeyres Price Index Number = ? 
914129_949fc62c92904670a3c999efef53651a.PNG
  • $$220.00$$
  • $$216.30$$
  • $$219.12$$
  • $$221.98$$
Given the following set of data, what is the range 12 23 34 54 21 8 9 67:
  • 55
  • 59
  • 8
  • 56
The sum of squares of deviations for $$10$$ observations taken from mean $$50$$ is $$250 $$. Then Co-efficient of variation is
  • $$10\%$$
  • $$40\%$$
  • $$50\%$$
  • None
The sum of the deviation of the individual data elements from their mean is always_________.
  • Equal to zero
  • Equal to one
  • Negative
  • Positive
Which of the following relations among the location parameters does not hold?
  • $$Q_2 = Median$$
  • $$P_50 = Median$$
  • $$D_5 = Median$$
  • $$D_4 = Median$$
The mean deviation about the mean of the set of first $$n$$ natural numbers when $$n$$ is an odd number.
  • $$\dfrac{n^{2}-1}{4n}$$
  • $$\dfrac{n}{4}$$
  • $$\dfrac{n^{2}+1}{4n}$$
  • $$\dfrac{n^{2}-1}{12}$$
For the observations $${ x }_{ 1, }{ x }_{ 2 },{ x }_{ 3 },........{ x }_{ 18, }$$ it is given that $$\sum _{i =1 }^{ 18 }{ ({ x }_{ i }-8)=9 } $$ and $$\sum _{  j=1}^{ 18 }{ { ({ x }_{ j}-8) }^{ 2 }=45 } $$ then the standard deviation of these eighteen observations is 
  • $$\cfrac { 3 }{ 2 } $$
  • 5
  • $$\cfrac { 5 }{ \sqrt { 2 } } $$
  • $$\sqrt { \cfrac { 81 }{ 34 } } $$
Find variance of the following data.
Class intervalFrequency
$$4-8$$$$3$$
$$8-12$$$$6$$
$$12-16$$$$4$$
$$16-20$$$$7$$
  • $$19$$
  • $$20$$
  • $$21$$
  • $$23$$
the coefficient of quartile deviation is 
  • $$\dfrac{40}{3}$$
  • $$\dfrac{15}{2}$$
  • $$20$$
  • $$150$$
If the sum and sum of squares of $$10$$ observations are $$12$$ and $$18$$ resp., then, The $$S.D$$ of observations is :-
  • $$\dfrac{1}{5}$$
  • $$\dfrac{2}{5}$$
  • $$\dfrac{3}{5}$$
  • $$\dfrac{4}{5}$$
$$5$$ students of a class have an average height $$150\ cm$$ and variance $$18\ cm^{2}$$. A new student, whose height is $$156\ cm$$, joined them. The variance (in $$cm^{2})$$ of the height of these six students is
  • $$22$$
  • $$20$$
  • $$16$$
  • $$18$$
Standard deviation of four observations $$-1, 0, 1$$ and k is $$\sqrt{5}$$ then k will be?
  • $$2\sqrt{6}$$
  • $$1$$
  • $$2$$
  • $$\sqrt{6}$$
A student scores the following marks in five test: $$45, 54, 41, 57, 43$$. His score is not known for the sixth test. If the mean score is 48 in the six tests, then the standard deviation of the marks in six test is 
  • $$\dfrac{10}{\sqrt{3}}$$
  • $$\dfrac{100}{\sqrt{3}}$$
  • $$\dfrac{130}{3}$$
  • $$\dfrac{10}{3}$$
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