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.

1318
Total Questions

Practice Questions

Page 48 of 66
Question #941
Which of the following statements is true for the geometric mean?
A. GM can be calculated for data containing negative values.
B. GM is always greater than AM.
C. GM = 0 if all values are positive.
D. GM is suitable for averaging ratios and percentages.
Discuss
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Correct Answer: Option D

Explanation:
GM is appropriate for multiplicative data like growth rates. It cannot handle negatives, and GM ≤ AM.
This question belongs to: Accountancy and Statistics Statistics
Question #942
If a dataset is bimodal, it indicates:
A. The frequency distribution has two peaks.
B. The mean is not defined.
C. The data are symmetric.
D. The data have two medians.
Discuss
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Correct Answer: Option A

Explanation:
Bimodal means two modal values, i.e., two local maxima in the frequency distribution.
This question belongs to: Accountancy and Statistics Statistics
Question #943
A population has a very high proportion of young people. Its crude death rate may be low even if age-specific death rates are high because:
A. Migration of elderly lowers CDR.
B. Young populations have higher immunity.
C. Death rates are high at older ages, and few old people exist.
D. It is due to statistical error.
Discuss
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Correct Answer: Option C

Explanation:
CDR is a weighted average of age-specific rates; with few elderly, the high mortality rates of old age receive less weight.
This question belongs to: Accountancy and Statistics Statistics
Question #944
The total fertility rate is 3.0. If the proportion of female births is 0.49 and the survival rate of women to reproductive age is 0.9, the NRR is approximately:
A. 1.47
B. 1.323
C. 2.7
D. 0.9
Discuss
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Correct Answer: Option B

Explanation:
GRR = 3.0 × 0.49 = 1.47. NRR = 1.47 × 0.9 = 1.323.
This question belongs to: Accountancy and Statistics Statistics
Question #945
Which of the following is not a component of a vital statistics system?
A. Census enumeration
B. Registration of marriages
C. Registration of deaths
D. Registration of births
Discuss
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Correct Answer: Option A

Explanation:
Census is a population count, not a continuous vital event registration. Vital statistics come from civil registration.
This question belongs to: Accountancy and Statistics Statistics
Question #946
The Sample Registration System (SRS) in India uses:
A. Complete enumeration
B. Single record system
C. Telephonic survey
D. Dual record system (continuous enumeration and half-yearly survey)
Discuss
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Correct Answer: Option D

Explanation:
SRS employs a dual record system combining continuous registration and periodic retrospective surveys.
This question belongs to: Accountancy and Statistics Statistics
Question #947
According to the Census of India 2011, the child sex ratio (0-6 years) was:
A. 900
B. 943
C. 919
D. 940
Discuss
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Correct Answer: Option C

Explanation:
Child sex ratio (0-6) was 919 females per 1000 males, lower than overall sex ratio.
This question belongs to: Accountancy and Statistics Statistics
Question #948
Which of the following is true about WPI and CPI in India?
A. Both cover only goods.
B. WPI covers only goods, CPI covers goods and services.
C. Both cover goods and services.
D. CPI covers only goods, WPI covers goods and services.
Discuss
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Correct Answer: Option B

Explanation:
WPI is limited to goods; CPI includes both goods and services.
This question belongs to: Accountancy and Statistics Statistics
Question #949
If the Laspeyres price index for a commodity basket is 140 and the Paasche is 135, Fisher's index is:
A. 135
B. 137.5
C. 137.47
D. 140
Discuss
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Correct Answer: Option C

Explanation:
√(140×135) = √18900 ≈ 137.477.
This question belongs to: Accountancy and Statistics Statistics
Question #950
In probability, if P(A) = 0, then A is:
A. Both B and C are correct
B. Independent of any other event
C. An impossible event
D. A sure event
Discuss
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Correct Answer: Option A

Explanation:
An impossible event has probability 0, and it is independent of any event because P(A∩B)=0 = P(A)P(B).
This question belongs to: Accountancy and Statistics Statistics
Question #951
If P(A|B) > P(A), then:
A. A and B are independent
B. B positively influences the probability of A
C. B has a negative influence on A
D. A and B are mutually exclusive
Discuss
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Correct Answer: Option B

Explanation:
Conditional probability greater than unconditional indicates a positive association.
This question belongs to: Accountancy and Statistics Statistics
Question #952
In a survey, 40% like tea, 60% like coffee, and 20% like both. The percentage who like neither is:
A. 0%
B. 80%
C. 20%
D. 60%
Discuss
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Correct Answer: Option C

Explanation:
P(T∪C)=40+60-20=80%, so neither = 100-80 = 20%.
This question belongs to: Accountancy and Statistics Statistics
Question #953
A box contains 5 defective and 15 non-defective items. Two items are drawn. The probability that both are non-defective is:
A. 21/38
B. 15/20 × 14/19 = 21/38
C. 1 - (5/20)²
D. (15/20)²
Discuss
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Correct Answer: Option B

Explanation:
P(both non-defective) = (15/20)×(14/19) = 210/380 = 21/38.
This question belongs to: Accountancy and Statistics Statistics
Question #954
Which of the following is an example of a leading question?
A. What is your age?
B. How often do you exercise?
C. List three improvements you would suggest.
D. Do you agree that the new policy is beneficial?
Discuss
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Correct Answer: Option D

Explanation:
It suggests that the policy is beneficial, leading the respondent to agree.
This question belongs to: Accountancy and Statistics Statistics
Question #955
In the classification of data, 'chronological classification' refers to:
A. Grouping by magnitude
B. Grouping by geographical area
C. Grouping by attributes
D. Grouping by time
Discuss
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Correct Answer: Option D

Explanation:
Chronological means time-based.
This question belongs to: Accountancy and Statistics Statistics
Question #956
If the mean of a distribution is 30 and the mode is 24, the distribution is:
A. Platykurtic
B. Positively skewed
C. Symmetric
D. Negatively skewed
Discuss
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Correct Answer: Option B

Explanation:
Mean > Mode implies positive skewness.
This question belongs to: Accountancy and Statistics Statistics
Question #957
For a continuous variable, which graph is most suitable?
A. Bar chart
B. Histogram
C. Ogive only
D. Pie chart
Discuss
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Correct Answer: Option B

Explanation:
Histogram represents continuous grouped data.
This question belongs to: Accountancy and Statistics Statistics
Question #958
If the median of a dataset is 40 and the first quartile is 30, the third quartile is 50. The interquartile range is:
A. 10
B. 80
C. 40
D. 20
Discuss
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Correct Answer: Option D

Explanation:
IQR = Q3 - Q1 = 50-30 = 20.
This question belongs to: Accountancy and Statistics Statistics
Question #959
The geometric mean is equal to the arithmetic mean when:
A. All values are different
B. Data contain negative numbers
C. All values are equal
D. Data are symmetric
Discuss
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Correct Answer: Option C

Explanation:
AM = GM if and only if all numbers are identical.
This question belongs to: Accountancy and Statistics Statistics
Question #960
The weighted harmonic mean is used in which of the following situations?
A. Averaging percentages
B. Measuring dispersion
C. Averaging rates when weights are in the denominator units
D. Finding the typical value of a symmetric distribution
Discuss
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Correct Answer: Option C

Explanation:
Weighted harmonic mean is useful when the weights are in the same units as the numerator of a rate.
This question belongs to: Accountancy and Statistics Statistics

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