Statistics MCQs
Practice complete Statistics MCQs covering Primary & Secondary Data, Data Collection Methods, Questionnaire, Tabulation & Compilation of Data, Measures of Central Tendency, Probability, Theory of Attributes, Index Numbers, Demography, Census, Vital Statistics, Fertility Measures, and all other important topics. Includes chapter-wise and exam-oriented multiple choice questions with detailed answers and explanations for JKSSB, SSC, Banking, UPSC, CUET, University, and other competitive exams.
Question #241
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When data is classified according to time (e.g., years, months, weeks), it is called:
Correct Answer: Option A
Explanation:
Chronological classification arranges data in order of time, forming a time series.
Chronological classification arranges data in order of time, forming a time series.
This question belongs to:
Accountancy and Statistics
Statistics
Question #242
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The difference between the upper limit and the lower limit of a class interval is called:
Correct Answer: Option D
Explanation:
The magnitude or width is the size of the class interval, calculated as Upper Limit - Lower Limit.
The magnitude or width is the size of the class interval, calculated as Upper Limit - Lower Limit.
This question belongs to:
Accountancy and Statistics
Statistics
Question #243
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Which of the following represents an open-end frequency distribution?
Correct Answer: Option C
Explanation:
Open-end distributions lack defined lower limits for the first class and/or upper limits for the last class.
Open-end distributions lack defined lower limits for the first class and/or upper limits for the last class.
This question belongs to:
Accountancy and Statistics
Statistics
Question #244
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The total of all frequencies in a frequency distribution is equal to the:
Correct Answer: Option A
Explanation:
In a 'less than' cumulative frequency distribution, the final cumulative frequency equals the total number of observations (N).
In a 'less than' cumulative frequency distribution, the final cumulative frequency equals the total number of observations (N).
This question belongs to:
Accountancy and Statistics
Statistics
Question #245
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For a set of discrete values, which measure of central tendency minimizes the sum of squared deviations?
Correct Answer: Option A
Explanation:
A fundamental property of the arithmetic mean is that the sum of the squares of deviations from it is always minimum.
A fundamental property of the arithmetic mean is that the sum of the squares of deviations from it is always minimum.
This question belongs to:
Accountancy and Statistics
Statistics
Question #246
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If the sum of 20 observations is 400, what is the Arithmetic Mean?
Correct Answer: Option B
Explanation:
Mean = Sum of observations / Number of observations = 400 / 20 = 20.
Mean = Sum of observations / Number of observations = 400 / 20 = 20.
This question belongs to:
Accountancy and Statistics
Statistics
Question #247
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Which average is strictly impossible to calculate if any of the observations in the dataset is exactly zero?
Correct Answer: Option B
Explanation:
Geometric mean becomes zero if any value is zero, and Harmonic mean involves division by zero, making both invalid.
Geometric mean becomes zero if any value is zero, and Harmonic mean involves division by zero, making both invalid.
This question belongs to:
Accountancy and Statistics
Statistics
Question #248
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The average wage of 10 male workers is Rs. 500, and of 10 female workers is Rs. 400. What is the combined mean wage?
Correct Answer: Option B
Explanation:
Combined mean = (n1*x1 + n2*x2) / (n1+n2) = (5000 + 4000) / 20 = 450.
Combined mean = (n1*x1 + n2*x2) / (n1+n2) = (5000 + 4000) / 20 = 450.
This question belongs to:
Accountancy and Statistics
Statistics
Question #249
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Which measure of central tendency divides a dataset into two equal halves?
Correct Answer: Option C
Explanation:
The median is the positional average that exactly bisects the ordered dataset.
The median is the positional average that exactly bisects the ordered dataset.
This question belongs to:
Accountancy and Statistics
Statistics
Question #250
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If a dataset has two most frequently occurring values, it is called:
Correct Answer: Option D
Explanation:
A bimodal distribution has two distinct peaks, representing two modes.
A bimodal distribution has two distinct peaks, representing two modes.
This question belongs to:
Accountancy and Statistics
Statistics
Question #251
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The Geometric Mean of 4, 8, and 16 is:
Correct Answer: Option A
Explanation:
GM = cube root of (4 * 8 * 16) = cube root of (512) = 8.
GM = cube root of (4 * 8 * 16) = cube root of (512) = 8.
This question belongs to:
Accountancy and Statistics
Statistics
Question #252
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Which of the following means is most appropriate to find the average rate of population growth over a decade?
Correct Answer: Option B
Explanation:
Geometric mean is the best measure for averaging ratios, percentages, and compound growth rates.
Geometric mean is the best measure for averaging ratios, percentages, and compound growth rates.
This question belongs to:
Accountancy and Statistics
Statistics
Question #253
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The Harmonic Mean of 2 and 4 is:
Correct Answer: Option D
Explanation:
HM = 2ab / (a+b) = 2(2)(4) / (2+4) = 16/6 = 2.67.
HM = 2ab / (a+b) = 2(2)(4) / (2+4) = 16/6 = 2.67.
This question belongs to:
Accountancy and Statistics
Statistics
Question #254
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What is the primary advantage of the Weighted Arithmetic Mean over the Simple Arithmetic Mean?
Correct Answer: Option D
Explanation:
Weighted mean assigns weights proportional to the relative importance of items, providing a more accurate average.
Weighted mean assigns weights proportional to the relative importance of items, providing a more accurate average.
This question belongs to:
Accountancy and Statistics
Statistics
Question #255
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The value of a random variable that occurs with the highest frequency in a probability distribution is called the:
Correct Answer: Option A
Explanation:
By definition, the mode represents the most probable or most frequent outcome.
By definition, the mode represents the most probable or most frequent outcome.
This question belongs to:
Accountancy and Statistics
Statistics
Question #256
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The intersection of an event A and its complement A' is:
Correct Answer: Option C
Explanation:
An event and its complement are mutually exclusive; they cannot occur simultaneously, so their intersection is empty.
An event and its complement are mutually exclusive; they cannot occur simultaneously, so their intersection is empty.
This question belongs to:
Accountancy and Statistics
Statistics
Question #257
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A coin is tossed three times. What is the probability of getting exactly two heads?
Correct Answer: Option B
Explanation:
Sample space has 8 outcomes. Favorable (HHT, HTH, THH) = 3. Probability = 3/8.
Sample space has 8 outcomes. Favorable (HHT, HTH, THH) = 3. Probability = 3/8.
This question belongs to:
Accountancy and Statistics
Statistics
Question #258
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If P(A) = 0.6, P(B) = 0.3, and P(A ∩ B) = 0.18, then events A and B are:
Correct Answer: Option A
Explanation:
Events are independent if P(A ∩ B) = P(A) × P(B). Here, 0.6 × 0.3 = 0.18, satisfying the condition.
Events are independent if P(A ∩ B) = P(A) × P(B). Here, 0.6 × 0.3 = 0.18, satisfying the condition.
This question belongs to:
Accountancy and Statistics
Statistics
Question #259
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From a standard deck of 52 cards, one card is drawn. What is the probability that it is either a King or a Heart?
Correct Answer: Option C
Explanation:
P(K or Heart) = P(K) + P(Heart) - P(King of Hearts) = 4/52 + 13/52 - 1/52 = 16/52.
P(K or Heart) = P(K) + P(Heart) - P(King of Hearts) = 4/52 + 13/52 - 1/52 = 16/52.
This question belongs to:
Accountancy and Statistics
Statistics
Question #260
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Bayes' theorem is a formula to calculate:
Correct Answer: Option A
Explanation:
Bayes' theorem calculates the posterior probability of a cause given the observed effect, effectively reversing the conditional direction.
Bayes' theorem calculates the posterior probability of a cause given the observed effect, effectively reversing the conditional direction.
This question belongs to:
Accountancy and Statistics
Statistics
