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 #141
Report Error
The mid-value of a class interval is 25 and the class width is 10. The class limits (exclusive) are:
Correct Answer: Option A
Explanation:
Lower limit = mid-value - width/2 = 25 - 5 = 20; upper limit = 25 + 5 = 30.
Lower limit = mid-value - width/2 = 25 - 5 = 20; upper limit = 25 + 5 = 30.
This question belongs to:
Accountancy and Statistics
Statistics
Question #142
Report Error
The number of observations falling in a particular class is called:
Correct Answer: Option A
Explanation:
Class frequency is the count of data points within a class interval.
Class frequency is the count of data points within a class interval.
This question belongs to:
Accountancy and Statistics
Statistics
Question #143
Report Error
Which graphical representation uses cumulative frequencies?
Correct Answer: Option A
Explanation:
An ogive plots cumulative frequencies against class boundaries.
An ogive plots cumulative frequencies against class boundaries.
This question belongs to:
Accountancy and Statistics
Statistics
Question #144
Report Error
In a class of 100 students, 60 play cricket, 50 play football, and 30 play both. Probability a random student plays neither is:
Correct Answer: Option C
Explanation:
P(C∪F) = 60+50-30 = 80. Playing neither = 100 - 80 = 20; probability = 20/100 = 0.2.
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
Report Error
If a fair coin is tossed three times, the probability of exactly two heads is:
Correct Answer: Option D
Explanation:
Number of ways: C(3,2)=3; each sequence probability (1/2)³; total 3/8.
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
Report Error
A bag contains 4 white and 6 black balls. Two balls are drawn at random. Probability they are of different colors is:
Correct Answer: Option C
Explanation:
Total ways C(10,2)=45. Favorable: 1 white, 1 black = C(4,1)×C(6,1)=24. Probability = 24/45 = 8/15.
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
Report Error
For mutually exclusive events A and B with P(A)=0.4, P(B)=0.3, P(A∪B) is:
Correct Answer: Option D
Explanation:
Since A and B are mutually exclusive, P(A∪B) = P(A) + P(B) = 0.7.
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
Report Error
Which of the following pairs of events are mutually exclusive?
Correct Answer: Option C
Explanation:
A single toss cannot result in both head and tail; they are mutually exclusive.
A single toss cannot result in both head and tail; they are mutually exclusive.
This question belongs to:
Accountancy and Statistics
Statistics
Question #149
Report Error
If P(A)=0.5, P(B)=0.4, P(A∩B)=0.3, then P(A but not B) is:
Correct Answer: Option C
Explanation:
P(A∩B') = P(A) - P(A∩B) = 0.5 - 0.3 = 0.2.
P(A∩B') = P(A) - P(A∩B) = 0.5 - 0.3 = 0.2.
This question belongs to:
Accountancy and Statistics
Statistics
Question #150
Report Error
If (AB)=30, (Aβ)=20, (αB)=10, (αβ)=40, the total number of observations N is:
Correct Answer: Option B
Explanation:
N = (AB) + (Aβ) + (αB) + (αβ) = 30+20+10+40 = 100.
N = (AB) + (Aβ) + (αB) + (αβ) = 30+20+10+40 = 100.
This question belongs to:
Accountancy and Statistics
Statistics
Question #151
Report Error
For the above frequencies, Yule's coefficient of association Q is:
Correct Answer: Option A
Explanation:
ad = 30×40 = 1200, bc = 20×10 = 200. Q = (1200-200)/(1200+200) = 1000/1400 = 0.714.
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
Report Error
For two attributes, if N=100, (A)=60, (B)=50, the maximum possible value of (AB) is:
Correct Answer: Option A
Explanation:
(AB) cannot exceed either (A) or (B); maximum is min((A),(B)) = 50.
(AB) cannot exceed either (A) or (B); maximum is min((A),(B)) = 50.
This question belongs to:
Accountancy and Statistics
Statistics
Question #153
Report Error
If attributes A and B are independent, the expected frequency of (αβ) is:
Correct Answer: Option C
Explanation:
Under independence, each cell frequency equals product of margins divided by N.
Under independence, each cell frequency equals product of margins divided by N.
This question belongs to:
Accountancy and Statistics
Statistics
Question #154
Report Error
Census of India 2011 was the:
Correct Answer: Option C
Explanation:
Since the first synchronous census in 1881, the 2011 census was the 15th decennial census.
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
Report Error
According to Census 2011, the population density of India (persons per sq km) is:
Correct Answer: Option B
Explanation:
The population density of India in 2011 was 382 persons per square kilometer.
The population density of India in 2011 was 382 persons per square kilometer.
This question belongs to:
Accountancy and Statistics
Statistics
Question #156
Report Error
The decadal growth rate of India's population during 2001-2011 was:
Correct Answer: Option D
Explanation:
India's population grew by 17.64% between 2001 and 2011, a decline from previous decades.
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
Report Error
As per Census 2011, which state had the highest population density among major states?
Correct Answer: Option A
Explanation:
Bihar had the highest density (1106 persons/sq km) among the major states in 2011.
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
Report Error
The sex ratio (females per 1000 males) in India according to Census 2011 is:
Correct Answer: Option B
Explanation:
India's overall sex ratio in 2011 was 943 females per 1000 males.
India's overall sex ratio in 2011 was 943 females per 1000 males.
This question belongs to:
Accountancy and Statistics
Statistics
Question #159
Report Error
The term 'demographic dividend' refers to:
Correct Answer: Option A
Explanation:
Demographic dividend is the economic growth potential when the share of the working-age population is larger than the non-working-age share.
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
Report Error
Which measure of mortality is most sensitive to health conditions of newborns?
Correct Answer: Option B
Explanation:
IMR reflects the health environment in the first year of life and is a sensitive indicator of child health.
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
