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BusinesscStatistics MCQs [set-4]
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Chapter: Unit 2
76. The range of the scores 29, 3, 143, 27, 99 is:
A. 140
B. 143
C. 146
D. 70
Answer: A
77. If the observations of a variable X are, -4, -20, -30, -44 and -36, then the
value of the range will be:
A. -48
B. 40
C. -40
D. 48
Answer: B
78. The range of the values -5, -8, -10, 0, 6, 10 is:
A. 0
B. 10
C. -10
D. 20
Answer: D
79. If the maximum value in a series is 25 and its range is 15, the maximum
value of the series is:
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A. 10
B. 15
C. 25
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D. 35
Answer: A
80. Half of the difference between upper and lower quartiles is called:
A. Interquartile range
B. Quartile deviation
C. Mean deviation
D. Standard deviation
Answer: B
81. If Q3=20 and Q1=10, the coefficient of quartile deviation is:
A. 3
B. 1/3
C. 2/3
D. 1
Answer: B
82. If the quartile range is 24 then the quartile deviation is:
A. 48
B. 12
C. 24
D. 72
Answer: B
83. The sum of all the squared deviations is divided by the total number of
observations to calculate
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A. population deviation
B. population variance
C. sample deviation
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D. sample variance
Answer: B
84. For the recorded observation, the ratios measured by absolute variation
are considered as
A. non-relative measures
B. relative measures
C. high uniform measures
D. low uniform measures
Answer: B
85. If the arithmetic mean is multiplied to coefficient of variation then the
resulting value is classified as
A. coefficient of deviation
B. coefficient of mean
C. standard deviation
D. variance
Answer: B
86. If mean absolute deviation of set of observations is 8.5 then value of
quartile deviation is
A. 7.08
B. 9.08
C. 10.2
D. 11.2
Answer: A
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87. For a positively skewed distribution, mean is always:
A. Less than the median
B. Less than the mode
C. Greater than the mode
D. Difficult to tell
Answer: C
88. If the sum of deviations from median is not zero, then a distribution will
be:
A. Symmetrical
B. Skewed
C. Normal
D. All of the above
Answer: B
89. The degree of peaked ness or flatness of a unimodel distribution is
called:
A. Skewness
B. Symmetry
C. Dispersion
D. Kurtosis
Answer: D
90. In a mesokurtic or normal distribution, µ4 = 243. The standard deviation
is:
A. 81
B. 27
C. 9
D. 3
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91. In a symmetrical distribution,
M Q3 – Q1 = 20, median = 15. Q3 is equal to:
Answer: D
A. 5
B. 15
C. 20
D. 25
Answer: D
92. The first three moments of a distribution about the mean are 1, 4 and 0.
The distribution is:
A. Symmetrical
B. Skewed to the left
C. Skewed to the right
D. Normal
Answer: A
93. For a symmetrical distribution:
A. ?1 > 0
B. ?1 < 0
C. ?1 = 0
D. ?1 = 3
Answer: C
94. The second and fourth moments about mean are 4 and 48 respectively,
then the distribution is:
A. Leptokurtic
B. Platykurtic
C. Mesokurtic or normal
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D. Positively skewed
Answer: C
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95. Bowley's coefficient of skewness lies between:
A. 0 and 1
B. 1 and +1
C. -1 and 0
D. -2 and +2
Answer: B
96. The value of ?2 can be:
A. Less than 3
B. Greater than 3
C. Equal to 3
D. All of the above
Answer: D
Chapter: Unit 3
97. If the sum of squares of the rank differences of 10 pairs of values is 30,
find the correlation coefficient between them.
A. 0.75
B. 0.82
C. 0.90
D. 0.83
Answer: B
98. In a bivariate sample, the sum of squares of differences between marks
of observed values of two variables is 33 and the rank correlation between
them is 0.8. Find the number of pairs of observations:
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A. 12
B. 10
C. 15
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D. 18
Answer: B
99. In a bivariate distribution, Spearman’s Coefficient of Correlation is 0.25. If the sum of the squares of various ranks is 150, find out the number
of pairs of items:
A. 10
B. 8
C. 9
D. 7
Answer: C
100. The rank correlation coefficient of a debating contest involving 10
participants was calculated as 0.6. However, it was later discovered that
the difference in the ranks of some participants was read as 8 instead of 3.
Find the correct correlation coefficient:
A. 0.933
B. 0.652
C. 0.854
D. 0.751
Answer: A
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