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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Practice Questions

Page 43 of 66
Question #841
The sum of deviations from the mean is always zero because:
A. Positive and negative deviations cancel out
B. Mean is the midpoint
C. Data are symmetric
D. All deviations are equal
Discuss
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Correct Answer: Option A

Explanation:
Σ (x - x̄) = 0 is an algebraic property.
This question belongs to: Accountancy and Statistics Statistics
Question #842
Which of the following is a feature of a good statistical table?
A. Self-explanatory with clear title and headings
B. Ambiguous footnotes
C. Complex layout
D. No source note
Discuss
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Correct Answer: Option A

Explanation:
A good table should be simple and clear, with proper titles, stubs, and captions.
This question belongs to: Accountancy and Statistics Statistics
Question #843
In a frequency distribution, the class width is computed as:
A. Midpoint × 2
B. Frequency / total
C. Lower limit + upper limit
D. Upper limit - lower limit (for exclusive classes)
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Correct Answer: Option D

Explanation:
Class width = difference between boundaries for exclusive classes.
This question belongs to: Accountancy and Statistics Statistics
Question #844
The data collected from a sample is:
A. Complete enumeration
B. Vital registration
C. Sample survey data
D. Census
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Correct Answer: Option C

Explanation:
Sample survey collects data from a subset of the population.
This question belongs to: Accountancy and Statistics Statistics
Question #845
If a coin is tossed 3 times, probability of exactly 2 heads is:
A. 1/2
B. 1/4
C. 3/8
D. 5/8
Discuss
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Correct Answer: Option C

Explanation:
Favorable: HHT, HTH, THH → 3 out of 8.
This question belongs to: Accountancy and Statistics Statistics
Question #846
In probability, an event that contains all possible outcomes is called:
A. Sure event
B. Null event
C. Simple event
D. Impossible event
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Correct Answer: Option A

Explanation:
Sure event equals the sample space, P = 1.
This question belongs to: Accountancy and Statistics Statistics
Question #847
If P(A)=0.5, P(B)=0.3, and A, B are mutually exclusive, then P(A∪B) is:
A. 0.15
B. 0.2
C. 0.8
D. 0.5
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Correct Answer: Option C

Explanation:
0.5+0.3=0.8.
This question belongs to: Accountancy and Statistics Statistics
Question #848
Which of the following is true about the mode?
A. Always unique
B. Always less than mean
C. Always equal to median
D. Can be more than one
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Correct Answer: Option D

Explanation:
A distribution can be bimodal or multimodal.
This question belongs to: Accountancy and Statistics Statistics
Question #849
The median of 5, 3, 8, 10, 12, 15 is:
A. 12
B. 9
C. 8
D. 10
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Correct Answer: Option B

Explanation:
Ordered: 3,5,8,10,12,15. Even number, median = (8+10)/2 = 9.
This question belongs to: Accountancy and Statistics Statistics
Question #850
The weight in the weighted mean reflects:
A. The frequency of the item
B. The importance of the item
C. The value of the item
D. The range
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Correct Answer: Option B

Explanation:
Weights indicate relative significance of each item.
This question belongs to: Accountancy and Statistics Statistics
Question #851
Consider the following statements about primary data: 1. It is collected directly by the investigator. 2. It is always more reliable than secondary data. 3. It is economical in terms of time and cost. Which of the statements is/are correct?
A. 1 and 3 only
B. 2 only
C. 1 only
D. 1 and 2 only
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Correct Answer: Option C

Explanation:
Primary data is collected firsthand (1 correct). It is not necessarily more reliable than secondary data, and it is more expensive and time-consuming (2,3 false).
This question belongs to: Accountancy and Statistics Statistics
Question #852
Assertion (A): Mailed questionnaire method is suitable when the informants are illiterate. Reason (R): Mailed questionnaire does not require any personal interaction. Choose the correct option:
A. A is true, R is false
B. Both A and R are true, but R is not the correct explanation of A
C. Both A and R are true, and R is the correct explanation of A
D. A is false, R is true
Discuss
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Correct Answer: Option D

Explanation:
Mailed questionnaire is unsuitable for illiterates because they cannot read/write. The reason (no personal interaction) is true but does not make it suitable for illiterates; in fact, it makes it worse.
This question belongs to: Accountancy and Statistics Statistics
Question #853
Which of the following statements about secondary data is NOT correct?
A. It is often less expensive to obtain than primary data.
B. It is already collected data that may be used by another researcher.
C. It is always tailored to the researcher's specific objective.
D. It can be obtained from published reports.
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Correct Answer: Option C

Explanation:
Secondary data was collected for another purpose, so it may not fit the current research objective perfectly; it is not always tailored.
This question belongs to: Accountancy and Statistics Statistics
Question #854
In the context of primary data collection, which of the following statements is/are true? 1. Schedule is filled by the enumerator. 2. Questionnaire is self-administered. 3. Schedule requires literate respondents. Select the correct answer:
A. 2 and 3 only
B. 1, 2 and 3
C. 1 and 2 only
D. 1 and 3 only
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Correct Answer: Option C

Explanation:
Schedule is filled by enumerator, so respondents need not be literate; questionnaire is filled by the respondent. Statement 3 is false because schedule does not require literate respondents.
This question belongs to: Accountancy and Statistics Statistics
Question #855
Consider the following: I. Observation method can record attitudes. II. Interview method allows probing. III. Mailed questionnaire has high response rate. Which of the above is/are correct?
A. I, II and III
B. II and III only
C. I and II only
D. II only
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Correct Answer: Option D

Explanation:
Observation cannot capture attitudes; mailed questionnaire often suffers from low response rate. Interview method does allow probing.
This question belongs to: Accountancy and Statistics Statistics
Question #856
Assertion (A): A good questionnaire should avoid leading questions. Reason (R): Leading questions suggest a particular answer and bias the response. Choose the correct option:
A. A is false, R is true
B. A is true, R is false
C. Both A and R are true, and R is the correct explanation of A
D. Both A and R are true, but R is not the correct explanation of A
Discuss
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Correct Answer: Option C

Explanation:
Leading questions bias respondents, so they must be avoided. R correctly explains A.
This question belongs to: Accountancy and Statistics Statistics
Question #857
Which of the following statements about tabulation is correct?
A. Tabulation is the process of grouping data into classes.
B. Tabulation eliminates the need for classification.
C. Tabulation is the first step of data collection.
D. Tabulation presents data in rows and columns for easy comparison.
Discuss
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Correct Answer: Option D

Explanation:
Tabulation is the systematic arrangement of data in a table with rows and columns.
This question belongs to: Accountancy and Statistics Statistics
Question #858
Read the following statements about frequency distribution: 1. Exclusive class intervals ensure continuity. 2. Inclusive class intervals leave no gaps. 3. Sturges' rule helps determine the number of classes. Which statement(s) is/are correct?
A. 1, 2 and 3
B. 1 and 2 only
C. 1 and 3 only
D. 2 and 3 only
Discuss
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Correct Answer: Option C

Explanation:
Exclusive intervals (e.g., 0-10, 10-20) are continuous; inclusive intervals (0-9, 10-19) have gaps. Sturges' rule gives k = 1 + 3.322 log N. Statement 2 is wrong because inclusive intervals do have gaps.
This question belongs to: Accountancy and Statistics Statistics
Question #859
Assertion (A): For a frequency distribution with unequal class intervals, the histogram is drawn with the area of the rectangle proportional to the class frequency. Reason (R): When class widths are unequal, the frequency density must be used to construct the histogram. Choose the correct option:
A. Both A and R are true, but R is not the correct explanation of A
B. Both A and R are true, and R is the correct explanation of A
C. A is true, R is false
D. A is false, R is true
Discuss
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Correct Answer: Option B

Explanation:
In a histogram, area (not height) represents frequency; if intervals are unequal, height = frequency / width (frequency density). So R explains A.
This question belongs to: Accountancy and Statistics Statistics
Question #860
Consider the following statements about ogive: 1. It is a graph of cumulative frequency. 2. The median can be located from the point where cumulative frequency is N/2. 3. Ogive can be used to estimate mode. Which of the above is/are correct?
A. 2 and 3 only
B. 1 and 3 only
C. 1 and 2 only
D. 1, 2 and 3
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Correct Answer: Option C

Explanation:
Ogive plots cumulative frequencies; median is at N/2. Mode is not found from ogive; it is found from histogram/frequency polygon.
This question belongs to: Accountancy and Statistics Statistics

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