CBSE Questions for Class 11 Commerce Economics Measures Of Dispersion Quiz 8 - MCQExams.com

If the two observations are 1010, their arithmetic mean is _____.
  • $$10$$
  • $$0$$
  • $$5$$
  • None of the above
The following distribution of ages (in complete years) is obtained for the students of higher secondary.
The mode of the distribution is.
Age (in years)15161718192021
Number of students12182010762
  • $$16$$
  • $$17$$
  • $$18$$
  • None of them
If the two observations are $$10$$ and $$-10$$, their arithmetic mean is _____.
  • $$10$$
  • $$20$$
  • $$0$$
  • None of the above
The $$Q_3$$ for the following distribution is
X234567891011
Y369182014101072
  • $$6$$
  • $$5$$
  • $$8$$
  • $$9$$
If the sum of n observations is $$630$$ and their mean is $$21$$, then the value of n is ____.
  • $$21$$
  • $$30$$
  • $$15$$
  • $$20$$
The $$8th$$ decile of the following observations is
$$29, 18, 15, 30, 42, 35, 34, 28, 45, 34$$
  • $$44.6$$
  • $$40.6$$
  • $$34.15$$
  • $$38.15$$
The combined mean of the following data is 
GroupABC
Number of observations400250350
Mean524460
  • $$52.8$$
  • $$44$$
  • $$52$$
  • None of them
Geometric mean is a good measure of central value if the date are _______.
  • categorical
  • on ordinal scale
  • in ratios or proportions
  • none of the above
If Z - M = $$4$$ and Z + M = $$60$$, then M is _____.
  • $$26$$
  • $$25$$
  • $$28$$
  • $$32$$
The mean of seven observations is $$18$$. A new observation $$16$$ is added. The mean of eight observations is _____.
  • $$22$$
  • $$17.75$$
  • $$18$$
  • None of them
Harmonic mean is better than other means if the data are for _________.
  • speed or rates
  • heights or lengths
  • binary values like 0 and $$1$$
  • ratios or proportions
Can a quartile, a decile and a percentile be the median?
  • Only quartile but not decile and percentile
  • Quartile and decile but not percentile
  • Decile and percentile but not quartile
  • Quartile, decile and percentile, all the three
The correct relationship between A.M., G.M. and H.M is _______.
  • A.M. = G.M = H.M
  • $$G.M \geq A.M = \geq H.M$$
  • $$H.M \geq G.M. \geq A.M.$$
  • $$A.M.\geq G.M. \geq H.M.$$
In a discrete series having $$(2n+1)$$ observations, median is ______.
  • nth observation
  • $$(n+1)$$th observation
  • $$[(n+2)/2]th$$ observation
  • $$[(2n+1)/2]th$$ observation
The mean of $$10$$ observations is $$48.4$$. If by mistake one observation was taken as $$54$$ instead of $$45$$.
The correct mean is ________.
  • $$32.5$$
  • $$25.5$$
  • $$47.5$$
  • $$26.5$$
The mean annual salary of all employees in a company is Rs$$25,000$$. The mean salaries of male and female employees are Rs$$27,000$$ and $$Rs17,000$$ respectively, the percentage of males and females employees by the company is _______.
  • $$80,20$$
  • $$20,80$$
  • $$30,70$$
  • $$70,30$$
The first quartile is also known as ______.
  • median
  • lower quartile
  • mode
  • third decile
The third quartile is also called ________.
  • lower quartile
  • median
  • mode
  • upper quartile
Sum of the absolute deviations about median is ______.
  • zero
  • minimum
  • maximum
  • one
In a moderately skewed distribution the arithmetic mean is $$10$$ units and the mode is $$7$$ units, the median is ______.
  • $$9$$
  • $$5$$
  • $$8$$
  • $$6$$
From which average sum of deviations is zero?
  • Median
  • Mean
  • Mode
  • None of them
Mean of a set of values is based on _______.
  • all values
  • $$50$$ percent values
  • first and last value
  • maximum & minimum value
The first quartile divides a frequency distribution in the ratio _____.
  • $$4 : 1$$
  • $$1 : 4$$
  • $$3 : 1$$
  • $$1 : 3$$
Which average is most affected by extreme values?
  • Geometric mean
  • Harmonic mean
  • Arithmetic mean
  • Trimmed mean
If for an individual series, assumed mean, A = $$25, \sum dx = -21$$ for dx = X - A and N = $$7$$, then the mean of the series is _____.
  • $$20$$
  • $$21$$
  • $$22$$
  • $$6.57$$
Mean deviation is minimum when deviations are taken from ______.
  • mean
  • median
  • mode
  • zero
Semi inter-quartile deviation is given by the formula _______.
  • $$Q_3 - Q_1$$
  • $$\frac{Q_3 - Q_1}{8}$$
  • $$\frac{(Q_3 - Q_1)}{2}$$
  • $$\frac{(Q_3 - Q_1)}{4}$$
The co-efficient of quartile deviation from the following observations is 
$$10, 18, 20, 28, 15, 17, 22, 25, 29, 32, 34$$
  • $$0.26$$
  • $$0.16$$
  • $$0.06$$
  • $$0.36$$
For comparison of two different series, the best measure of dispersion is _________.
  • standard deviation
  • range
  • mean deviation
  • coefficient of variation
The correct relation between variance and standard deviation (S.D) of a variable X is _______.
  • S.D = Var
  • $$S.D =[ Var(X)^{\frac{1}{2}}]$$
  • $$S.D = [Var(x)]^2$$
  • None of the above
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