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 8 of 66
Question #141
The mid-value of a class interval is 25 and the class width is 10. The class limits (exclusive) are:
A. 15-25
B. 20-30 inclusive
C. 25-35
D. 20-30
Discuss
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Correct Answer: Option D

Explanation:
Lower limit = mid-value - width/2 = 25 - 5 = 20; upper limit = 25 + 5 = 30.
This question belongs to: Accountancy and Statistics Statistics
Question #142
The number of observations falling in a particular class is called:
A. Cumulative frequency
B. Relative frequency
C. Class mark
D. Class frequency
Discuss
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Correct Answer: Option D

Explanation:
Class frequency is the count of data points within a class interval.
This question belongs to: Accountancy and Statistics Statistics
Question #143
Which graphical representation uses cumulative frequencies?
A. Histogram
B. Ogive
C. Bar diagram
D. Frequency polygon
Discuss
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Correct Answer: Option B

Explanation:
An ogive plots cumulative frequencies against class boundaries.
This question belongs to: Accountancy and Statistics Statistics
Question #144
In a class of 100 students, 60 play cricket, 50 play football, and 30 play both. Probability a random student plays neither is:
A. 0.3
B. 0.4
C. 0.2
D. 0.1
Discuss
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Correct Answer: Option C

Explanation:
P(C∪F) = 60+50-30 = 80. Playing neither = 100 - 80 = 20; probability = 20/100 = 0.2.
This question belongs to: Accountancy and Statistics Statistics
Question #145
If a fair coin is tossed three times, the probability of exactly two heads is:
A. 3/8
B. 1/2
C. 5/8
D. 1/4
Discuss
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Correct Answer: Option A

Explanation:
Number of ways: C(3,2)=3; each sequence probability (1/2)³; total 3/8.
This question belongs to: Accountancy and Statistics Statistics
Question #146
A bag contains 4 white and 6 black balls. Two balls are drawn at random. Probability they are of different colors is:
A. 12/45
B. 10/45
C. 16/45
D. 24/45
Discuss
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Correct Answer: Option D

Explanation:
Total ways C(10,2)=45. Favorable: 1 white, 1 black = C(4,1)×C(6,1)=24. Probability = 24/45 = 8/15.
This question belongs to: Accountancy and Statistics Statistics
Question #147
For mutually exclusive events A and B with P(A)=0.4, P(B)=0.3, P(A∪B) is:
A. 0.12
B. 0.58
C. 0.7
D. 0.1
Discuss
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Correct Answer: Option C

Explanation:
Since A and B are mutually exclusive, P(A∪B) = P(A) + P(B) = 0.7.
This question belongs to: Accountancy and Statistics Statistics
Question #148
Which of the following pairs of events are mutually exclusive?
A. Drawing a heart and a queen in one card draw
B. Getting an even number and a prime number on a die
C. Getting a 3 and an odd number on a die
D. Getting a head and a tail on a single coin toss
Discuss
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Correct Answer: Option D

Explanation:
A single toss cannot result in both head and tail; they are mutually exclusive.
This question belongs to: Accountancy and Statistics Statistics
Question #149
If P(A)=0.5, P(B)=0.4, P(A∩B)=0.3, then P(A but not B) is:
A. 0.1
B. 0.5
C. 0.8
D. 0.2
Discuss
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Correct Answer: Option D

Explanation:
P(A∩B') = P(A) - P(A∩B) = 0.5 - 0.3 = 0.2.
This question belongs to: Accountancy and Statistics Statistics
Question #150
If (AB)=30, (Aβ)=20, (αB)=10, (αβ)=40, the total number of observations N is:
A. 90
B. 110
C. 80
D. 100
Discuss
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Correct Answer: Option D

Explanation:
N = (AB) + (Aβ) + (αB) + (αβ) = 30+20+10+40 = 100.
This question belongs to: Accountancy and Statistics Statistics
Question #151
For the above frequencies, Yule's coefficient of association Q is:
A. 0.5
B. 0.8
C. 0.33
D. 0.714
Discuss
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Correct Answer: Option D

Explanation:
ad = 30×40 = 1200, bc = 20×10 = 200. Q = (1200-200)/(1200+200) = 1000/1400 = 0.714.
This question belongs to: Accountancy and Statistics Statistics
Question #152
For two attributes, if N=100, (A)=60, (B)=50, the maximum possible value of (AB) is:
A. 50
B. 60
C. 100
D. 10
Discuss
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Correct Answer: Option A

Explanation:
(AB) cannot exceed either (A) or (B); maximum is min((A),(B)) = 50.
This question belongs to: Accountancy and Statistics Statistics
Question #153
If attributes A and B are independent, the expected frequency of (αβ) is:
A. (A)×(B)/N
B. (α)×(β)/N²
C. Observed (αβ)
D. (α)×(β)/N
Discuss
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Correct Answer: Option D

Explanation:
Under independence, each cell frequency equals product of margins divided by N.
This question belongs to: Accountancy and Statistics Statistics
Question #154
Census of India 2011 was the:
A. 13th census
B. 15th census
C. 14th census
D. 16th census
Discuss
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Correct Answer: Option B

Explanation:
Since the first synchronous census in 1881, the 2011 census was the 15th decennial census.
This question belongs to: Accountancy and Statistics Statistics
Question #155
According to Census 2011, the population density of India (persons per sq km) is:
A. 324
B. 455
C. 282
D. 382
Discuss
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Correct Answer: Option D

Explanation:
The population density of India in 2011 was 382 persons per square kilometer.
This question belongs to: Accountancy and Statistics Statistics
Question #156
The decadal growth rate of India's population during 2001-2011 was:
A. 19.2%
B. 17.64%
C. 21.54%
D. 24.8%
Discuss
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Correct Answer: Option B

Explanation:
India's population grew by 17.64% between 2001 and 2011, a decline from previous decades.
This question belongs to: Accountancy and Statistics Statistics
Question #157
As per Census 2011, which state had the highest population density among major states?
A. Uttar Pradesh
B. Bihar
C. West Bengal
D. Kerala
Discuss
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Correct Answer: Option B

Explanation:
Bihar had the highest density (1106 persons/sq km) among the major states in 2011.
This question belongs to: Accountancy and Statistics Statistics
Question #158
The sex ratio (females per 1000 males) in India according to Census 2011 is:
A. 933
B. 943
C. 940
D. 927
Discuss
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Correct Answer: Option B

Explanation:
India's overall sex ratio in 2011 was 943 females per 1000 males.
This question belongs to: Accountancy and Statistics Statistics
Question #159
The term 'demographic dividend' refers to:
A. High immigration
B. Increase in birth rate
C. Increase in working-age population relative to dependents
D. Decrease in death rate
Discuss
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Correct Answer: Option C

Explanation:
Demographic dividend is the economic growth potential when the share of the working-age population is larger than the non-working-age share.
This question belongs to: Accountancy and Statistics Statistics
Question #160
Which measure of mortality is most sensitive to health conditions of newborns?
A. Life expectancy
B. Infant Mortality Rate
C. Maternal Mortality Ratio
D. Crude Death Rate
Discuss
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Correct Answer: Option B

Explanation:
IMR reflects the health environment in the first year of life and is a sensitive indicator of child health.
This question belongs to: Accountancy and Statistics Statistics

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