Statistics MCQs

Accountancy and Statistics

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.

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Total Questions

Practice Questions

Page 13 of 66
Question #241
When data is classified according to time (e.g., years, months, weeks), it is called:
A. Discrete classification
B. Conditional classification
C. Chronological classification
D. Geographical classification
Discuss
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Correct Answer: Option C

Explanation:
Chronological classification arranges data in order of time, forming a time series.
This question belongs to: Accountancy and Statistics Statistics
Question #242
The difference between the upper limit and the lower limit of a class interval is called:
A. Class mark
B. Class boundary
C. Magnitude or Width of the class
D. Class frequency
Discuss
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Correct Answer: Option C

Explanation:
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
Which of the following represents an open-end frequency distribution?
A. Below 10, 10-20, 20-30, Above 30
B. 10-19, 20-29, 30-39
C. 0-10, 10-20, 20-30
D. 10-20, 20-30, 30-40
Discuss
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Correct Answer: Option A

Explanation:
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
The total of all frequencies in a frequency distribution is equal to the:
A. Highest cumulative frequency
B. Width of the highest class
C. Mean of the frequencies
D. Class mark of the last class
Discuss
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Correct Answer: Option A

Explanation:
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
For a set of discrete values, which measure of central tendency minimizes the sum of squared deviations?
A. Harmonic Mean
B. Mode
C. Arithmetic Mean
D. Median
Discuss
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Correct Answer: Option C

Explanation:
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
If the sum of 20 observations is 400, what is the Arithmetic Mean?
A. 10
B. 20
C. 40
D. 200
Discuss
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Correct Answer: Option B

Explanation:
Mean = Sum of observations / Number of observations = 400 / 20 = 20.
This question belongs to: Accountancy and Statistics Statistics
Question #247
Which average is strictly impossible to calculate if any of the observations in the dataset is exactly zero?
A. Both Geometric and Harmonic Mean
B. Arithmetic Mean
C. Geometric Mean
D. Harmonic Mean
Discuss
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Correct Answer: Option A

Explanation:
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
The average wage of 10 male workers is Rs. 500, and of 10 female workers is Rs. 400. What is the combined mean wage?
A. 460
B. 440
C. 900
D. 450
Discuss
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Correct Answer: Option D

Explanation:
Combined mean = (n1*x1 + n2*x2) / (n1+n2) = (5000 + 4000) / 20 = 450.
This question belongs to: Accountancy and Statistics Statistics
Question #249
Which measure of central tendency divides a dataset into two equal halves?
A. Median
B. Arithmetic Mean
C. Mode
D. Geometric Mean
Discuss
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Correct Answer: Option A

Explanation:
The median is the positional average that exactly bisects the ordered dataset.
This question belongs to: Accountancy and Statistics Statistics
Question #250
If a dataset has two most frequently occurring values, it is called:
A. Multimodal
B. Bimodal
C. Unimodal
D. Amodal
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Correct Answer: Option B

Explanation:
A bimodal distribution has two distinct peaks, representing two modes.
This question belongs to: Accountancy and Statistics Statistics
Question #251
The Geometric Mean of 4, 8, and 16 is:
A. 8
B. 6
C. 12
D. 9.33
Discuss
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Correct Answer: Option A

Explanation:
GM = cube root of (4 * 8 * 16) = cube root of (512) = 8.
This question belongs to: Accountancy and Statistics Statistics
Question #252
Which of the following means is most appropriate to find the average rate of population growth over a decade?
A. Geometric Mean
B. Harmonic Mean
C. Weighted Mean
D. Arithmetic Mean
Discuss
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Correct Answer: Option A

Explanation:
Geometric mean is the best measure for averaging ratios, percentages, and compound growth rates.
This question belongs to: Accountancy and Statistics Statistics
Question #253
The Harmonic Mean of 2 and 4 is:
A. 3.5
B. 2.83
C. 3
D. 2.67
Discuss
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Correct Answer: Option D

Explanation:
HM = 2ab / (a+b) = 2(2)(4) / (2+4) = 16/6 = 2.67.
This question belongs to: Accountancy and Statistics Statistics
Question #254
What is the primary advantage of the Weighted Arithmetic Mean over the Simple Arithmetic Mean?
A. It gives appropriate importance to different items based on their significance
B. It ignores extreme values
C. It can be calculated for qualitative data
D. It is easier to calculate
Discuss
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Correct Answer: Option A

Explanation:
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
The value of a random variable that occurs with the highest frequency in a probability distribution is called the:
A. Median
B. Expected value
C. Mode
D. Variance
Discuss
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Correct Answer: Option C

Explanation:
By definition, the mode represents the most probable or most frequent outcome.
This question belongs to: Accountancy and Statistics Statistics
Question #256
The intersection of an event A and its complement A' is:
A. Null set (Φ)
B. Sample space (S)
C. Complement A'
D. Event A
Discuss
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Correct Answer: Option A

Explanation:
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
A coin is tossed three times. What is the probability of getting exactly two heads?
A. 1/8
B. 3/8
C. 1/2
D. 5/8
Discuss
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Correct Answer: Option B

Explanation:
Sample space has 8 outcomes. Favorable (HHT, HTH, THH) = 3. Probability = 3/8.
This question belongs to: Accountancy and Statistics Statistics
Question #258
If P(A) = 0.6, P(B) = 0.3, and P(A ∩ B) = 0.18, then events A and B are:
A. Independent
B. Dependent
C. Mutually exclusive
D. Exhaustive
Discuss
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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.
This question belongs to: Accountancy and Statistics Statistics
Question #259
From a standard deck of 52 cards, one card is drawn. What is the probability that it is either a King or a Heart?
A. 4/13
B. 1/4
C. 17/52
D. 16/52
Discuss
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Correct Answer: Option D

Explanation:
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
Bayes' theorem is a formula to calculate:
A. Unconditional probability
B. Intersection of independent events
C. Reverse conditional probability (posterior)
D. Union of events
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Correct Answer: Option C

Explanation:
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

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