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Browse exam-wise, subject-wise, and country-wise MCQs with explanations.
Choose an option to check your answer.
A.
Standard deviation relative to the mean
B.
Median relative to sample size
C.
Maximum relative to minimum
D.
Variance relative to the number of categories
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Correct Answer: A. Standard deviation relative to the mean
Explanation:
The coefficient of variation is commonly calculated as standard deviation divided by mean.
It supports relative variability comparisons across compatible positive scales.
Choose an option to check your answer.
A.
The mean
B.
The range midpoint
C.
The maximum
D.
The median
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Correct Answer: D. The median
Explanation:
The extreme value 100 strongly pulls the mean upward.
The median remains 4 and better represents the central cluster.
Choose an option to check your answer.
A.
The plot title
B.
The font family
C.
An off-center median and unequal whisker lengths
D.
The number of axis ticks only
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Correct Answer: C. An off-center median and unequal whisker lengths
Explanation:
Asymmetry in the box or whiskers reflects unequal spread on the two sides.
This pattern may indicate a skewed distribution.
Choose an option to check your answer.
A.
They show the exact value of every observation
B.
They allow distributions of several groups to be compared compactly
C.
They prove group means are significantly different
D.
They display time order automatically
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Correct Answer: B. They allow distributions of several groups to be compared compactly
Explanation:
Aligned box plots reveal differences in medians, spreads, and potential outliers.
They are efficient when many groups must be compared.
Choose an option to check your answer.
A.
Q3 + 1.5 × IQR
B.
Mean + IQR
C.
Maximum + standard deviation
D.
Q1 + 1.5 × median
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Correct Answer: A. Q3 + 1.5 × IQR
Explanation:
The upper fence is Q3 plus 1.5 times the interquartile range.
Points beyond it are flagged for investigation, not automatically deleted.
Choose an option to check your answer.
A.
The full range
B.
The standard error
C.
The number of categories
D.
The interquartile range
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Correct Answer: D. The interquartile range
Explanation:
The lower and upper edges of the box are Q1 and Q3.
Their distance is the interquartile range.
Choose an option to check your answer.
A.
The mean in every implementation
B.
The sample size
C.
The median
D.
The maximum
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Correct Answer: C. The median
Explanation:
The box extends from the first to the third quartile.
The internal line marks the second quartile, which is the median.
Choose an option to check your answer.
A.
(mean - x) × standard deviation
B.
(x - mean) / standard deviation
C.
x / variance squared
D.
(x + median) / range
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Correct Answer: B. (x - mean) / standard deviation
Explanation:
Subtracting the mean centers the observation, and dividing by the standard deviation scales it.
The result is unitless and supports cross-scale comparison.
Choose an option to check your answer.
A.
The observation is above the mean
B.
The observation is below the minimum
C.
The observation equals the median
D.
The standard deviation is negative
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Correct Answer: A. The observation is above the mean
Explanation:
A z-score expresses distance from the mean in standard-deviation units.
Positive values lie above the mean, while negative values lie below it.
Choose an option to check your answer.
A.
Right-skewed
B.
Bimodal only
C.
Normally distributed by definition
D.
Left-skewed
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Correct Answer: D. Left-skewed
Explanation:
Skewness is named for the direction of the longer tail.
A left-skewed distribution has its extended tail on the low-value side.
Choose an option to check your answer.
A.
Perfectly symmetric
B.
Left-skewed
C.
Right-skewed
D.
Uniform with no tails
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Correct Answer: C. Right-skewed
Explanation:
Large high-end values pull the mean toward the right tail.
The median is less affected, so it often remains below the mean.
Choose an option to check your answer.
A.
The median
B.
The range
C.
The first quartile
D.
The coefficient of variation
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Correct Answer: B. The range
Explanation:
The range is calculated as maximum minus minimum.
It is simple but highly sensitive to extreme observations.