CBSE Questions for Class 11 Commerce Economics Measures Of Dispersion Quiz 1 - MCQExams.com

If the group data has open end classes, one cannot calculate ________.
  • median
  • mode
  • mean
  • quartiles
If modal value is not clear in a distribution, it can be ascertained by the method of ________.
  • grouping
  • guessing
  • summarizing
  • trial and error
If for a series the arithmetic mean is $$25$$ and the harmonic mean is $$9$$, what is the geometric mean?
  • $$25$$
  • $$15$$
  • $$28$$
  • $$16$$
$${X}^2$$ test is equal to____________.
  • $${\sum_{i = 1}^{n}} {A{x}^1} = A{x}^1 + A{x}^2 + ... + A{x}^n$$
  • $$V = (r - 1) (e - 1)$$
  • $$\dfrac {{\Sigma}(O - E)^2}{E}$$
  • $$ r = \dfrac {{\Sigma}_{xy}}{\sqrt{{\Sigma}{{x}^2}{{y}^2}}}$$
From the following detail find out coefficient of Quartile Deviation.
$$3=64,Q1=50$$
  • $$12.11$$%
  • $$12.28$$%
  • $$13.50$$%
  • $$12.08$$%
According to ________, "Dispersion is the measure of variations of items".
  • A.L. Bowley
  • Spiegel
  • Simpson and Kafka
  • L.R. Connor
If Mean deviation is 16 then the standard deviation of the data is____.
  • 18.90
  • 20.0
  • 19.90
  • 19
What is the Relative counterpart of Standard Deviation ?
  • Coefficient of Standard Deviation
  • Coefficient of Variation
  • Coefficient of Dispersion
  • None
The Gini Coefficient lies between ______.
  • 0-100
  • 0-10
  • 1-5
  • 0-1
Average of $$12$$ members = $$11.0$$. Average of the first six members = $$10.5$$, average of the last six members = ______.
  • $$10.5$$
  • $$11.5$$
  • $$11.0$$
  • $$10.0$$
Which one of the following is a measure of dispersion?
  • Mean
  • Median
  • Mode
  • Standard deviation
The average runs of a cricketer in four innings is $$32$$. How many runs he should score in the fifth inning so that his averages score becomes $$50$$ runs?
  • $$132$$
  • $$122$$
  • $$128$$
  • $$126$$
The mean of $$4,3,9,x,6 is 5.4$$ then x is __________.
  • $$3$$
  • $$5$$
  • $$8$$
  • $$6$$
If Z - M = $$4$$ and Z + M = $$60$$, then Z is _______.
  • $$32$$
  • $$25$$
  • $$28$$
  • $$26$$
The average runs of two groups is $$57$$. The mean of the first group is $$52$$ and the mean of the second group is $$60$$. The proportion of ______.
  • $$3 : 5$$
  • $$2 : 5$$1
  • $$2 : 8$$
  • $$5 : 2$$
The value of $$X^2$$ describes the magnitude of the difference between___________.
  • two normal distributions
  • expected and observed frequency
  • both (A) and (B)
  • two samples
The mean of first $$10$$ natural numbers is _______.
  • $$6.5$$
  • $$2.5$$
  • $$4.5$$
  • $$5.5$$
To find the median, it is necessary to arrange the data in _______.
  • ascending order
  • descending order
  • ascending or descending order
  • any of them
Standard error measures the dispersion from the_________-.
  • arithmetic mean
  • geometric mean
  • both (A) and (B)
  • harmonic mean
The lorenz curve shows the relationship between_____________.
  • asset creation and income generation.
  • population groups and their respective income shares.
  • unemployment and inflation.
  • wages, labor hours and leisure.
Which of the following are Methods of calculating Standard Deviation?
  • Actual Mean Method
  • Assumed Mean Method
  • Step-Deviation Method
  • All of these
If the mean and standard deviation of a normal distribution are $$33$$ and $$5$$ respectively, what is the Inter-quartile range?
  • $$(6.67)$$
  • $$(8)$$
  • $$(7.74)$$
  • $$(6.8)$$
The standard deviation of a frequency distribution is 3.24 find the variance:
  • 9.25
  • 6.25
  • 9.91
  • 10.49
For a distribution, coefficient of variation is 22.5% and mean is 7.5 find the standard deviation___.
  • 1.9975
  • 1.6875
  • 1.243
  • 1.0943
The question of accepting or rejecting a hypothesis drawn depends upon ___________.
  • the information supplied by the sample data
  • the information supplied by the standard deviation
  • both (A) and (B)
  • none of the above
T-distribution is symmetrical like normal distribution and its mean value is____________.
  • zero
  • -1
  • 1
  • 2
A simple formula to calculate the standard error is___________.
  • $$S_{yx} =$$ $${\sigma}_{y}{\sqrt{1 - {r}^2}}$$
  • $$S_{xy} =$$ $${\sigma}_{x}{\sqrt{1 - {r}^2}}$$
  • $$S_{yx} = $$ S.E.
  • Both (A) and (B)
X and Y are so related that $$2x+y-18 = 0$$ and mean deviation about mean of x is $$3.5$$ find mean deviation about mean with respect of y____.
  • $$6.07$$
  • $$6.71$$
  • $$7.00$$
  • $$6.01$$
For a large sample, the sampling distribution of $$X^2$$ may form________.
  • a continuous curve
  • severely skewed curve
  • the symmetrical curve
  • either (B) or (C)
Which of the following is not true?
  • Standard Deviation is the most widely used measure of dispersion
  • Standard Deviation is not based on all values
  • A change in even one value affects the value of standard deviation
  • It is independent of origin but not of scale.
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