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 61 of 66
Question #1201
If the Cost of Living Index rises by 10%, a wage earner's real income remains unchanged only if nominal wages increase by:
A. 10%
B. 5%
C. 15%
D. 20%
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option A

Explanation:
Real income = Nominal income / Price index. To keep real income constant when prices rise 10% (index ×1.10), nominal income must also rise 10% (×1.10), so the ratio remains unchanged.
This question belongs to: Accountancy and Statistics Statistics
Question #1202
Demographic transition theory suggests that in the third stage, populations experience:
A. High birth and death rates with migration
B. High birth and death rates
C. Declining death rates with high birth rates
D. Declining birth rates with low death rates
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
Stage three of demographic transition features falling fertility due to urbanization, education, and contraception, while mortality remains low, leading to slowing population growth.
This question belongs to: Accountancy and Statistics Statistics
Question #1203
The census method that counts people where they are found on census night is called:
A. Sample census
B. Rolling census
C. De facto
D. De jure
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
De facto census records individuals at their location on the census reference night, regardless of usual residence, useful for service planning but less suitable for administrative purposes.
This question belongs to: Accountancy and Statistics Statistics
Question #1204
Vital statistics are crucial for calculating which of the following indicators?
A. Literacy Rate
B. Infant Mortality Rate (IMR)
C. Human Development Index (HDI)
D. Gross Domestic Product (GDP)
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
IMR directly uses vital statistics data on live births and infant deaths; other options rely on broader datasets (e.g., GDP on economic surveys, HDI on multiple sources, literacy on census/surveys).
This question belongs to: Accountancy and Statistics Statistics
Question #1205
Age-Specific Fertility Rate for 25-29 years is 120 per 1,000 women. This means:
A. Women in this age group have 120 children on average
B. 12% of women aged 25-29 give birth each year
C. 120 is the total fertility rate contribution from this age group
D. For every 1,000 women aged 25-29, there are 120 live births in a year
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
ASFR = (Births to women in age group / Women in age group) × 1,000. An ASFR of 120 indicates 120 annual births per 1,000 women aged 25-29, reflecting age-specific fertility intensity.
This question belongs to: Accountancy and Statistics Statistics
Question #1206
Net Reproduction Rate (NRR) of 0.95 implies that:
A. Fertility is above replacement level
B. Population will double in 20 years
C. Mortality has no impact on reproduction
D. Each generation of women is not fully replacing itself
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
NRR < 1 means that, accounting for female mortality, a cohort of women has fewer than one daughter on average surviving to reproductive age, indicating long-term population decline without migration.
This question belongs to: Accountancy and Statistics Statistics
Question #1207
Maternal Mortality Ratio is expressed per 100,000 live births primarily to:
A. Make the number easier to remember
B. Avoid very small decimal values for rare events
C. Simplify international comparisons
D. Align with infant mortality rate units
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
Maternal deaths are relatively rare; using a base of 100,000 live births yields manageable numbers (e.g., 100-500) instead of tiny decimals (0.001-0.005), enhancing readability and comparison.
This question belongs to: Accountancy and Statistics Statistics
Question #1208
Life expectancy at age 65 being higher than at birth indicates:
A. Improving healthcare for the elderly
B. Migration of elderly into the population
C. High infant and child mortality pulling down life expectancy at birth
D. Data error in life table construction
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
Life expectancy at birth is heavily influenced by early-life mortality; if many children die young, e₀ is low, but those surviving to 65 have already passed high-risk ages, so e₆₅ is naturally higher.
This question belongs to: Accountancy and Statistics Statistics
Question #1209
Standardized Death Rate for Population A is calculated using Population B's age structure as standard. This allows:
A. Calculation of A's fertility rates
B. Direct comparison of crude death rates
C. Assessment of whether A's age-specific mortality is higher/lower than B's
D. Estimation of A's future population size
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
By applying A's age-specific death rates to B's standard population, SDR isolates differences in mortality risk from differences in age composition, revealing true mortality level comparisons.
This question belongs to: Accountancy and Statistics Statistics
Question #1210
Which measure of mortality is LEAST affected by population age structure?
A. Life Expectancy at Birth
B. Age-Specific Death Rate for 40-44 years
C. Infant Mortality Rate
D. Crude Death Rate
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
Age-specific death rates focus on a narrow age group, minimizing the influence of overall population age structure, unlike crude rates or life expectancy which aggregate across ages.
This question belongs to: Accountancy and Statistics Statistics
Question #1211
In a moderately skewed distribution, the empirical relationship is Mode ≈ 3×Median - 2×Mean. If Mean=60 and Median=58, Mode is approximately:
A. 52
B. 56
C. 58
D. 54
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
Mode ≈ 3×58 - 2×60 = 174 - 120 = 54. This approximation, attributed to Pearson, holds for unimodal distributions with moderate skewness.
This question belongs to: Accountancy and Statistics Statistics
Question #1212
The combined mean of two groups with means 40 (size 10) and 60 (size 20) is:
A. 50
B. 55
C. 53.33
D. 56.67
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
Combined mean = (10×40 + 20×60) / (10+20) = (400 + 1200) / 30 = 1600 / 30 ≈ 53.33. This weights each group's mean by its sample size.
This question belongs to: Accountancy and Statistics Statistics
Question #1213
For a dataset, if all values are multiplied by a constant k, the new arithmetic mean is:
A. Multiplied by k
B. Divided by k
C. Multiplied by k²
D. Unchanged
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option A

Explanation:
Mean is linear: if x̄ is original mean, new mean = Σ(kx)/n = kΣx/n = kx̄. This property is useful for unit conversions (e.g., meters to centimeters).
This question belongs to: Accountancy and Statistics Statistics
Question #1214
The median of the dataset: 10, 15, 20, 25, 30, 35 is:
A. 30
B. 22.5
C. 25
D. 20
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
With 6 observations (even), median = average of 3rd and 4th values in ordered list: (20 + 25)/2 = 22.5. This splits the data into two equal halves.
This question belongs to: Accountancy and Statistics Statistics
Question #1215
In probability, if P(A) = 0, then event A is:
A. Certain
B. Independent of all events
C. Impossible
D. Mutually exclusive with all events
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
An event with probability zero cannot occur under the given probability model, defining it as impossible (though in continuous distributions, point events have P=0 but are not impossible).
This question belongs to: Accountancy and Statistics Statistics
Question #1216
The multiplication theorem for independent events states P(A ∩ B) = P(A) × P(B). For dependent events, it becomes:
A. P(A|B) × P(B)
B. Both B and C are correct
C. P(A) + P(B)
D. P(B|A) × P(A)
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
For any events, P(A∩B) = P(A|B)P(B) = P(B|A)P(A); independence is the special case where P(A|B)=P(A), reducing to P(A)P(B).
This question belongs to: Accountancy and Statistics Statistics
Question #1217
A bag contains 5 white and 3 black balls. Two balls are drawn without replacement. The probability that they are of different colors is:
A. 30/56
B. 30/28
C. 15/28
D. 15/56
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
P(different) = P(white then black) + P(black then white) = (5/8)(3/7) + (3/8)(5/7) = 15/56 + 15/56 = 30/56 = 15/28. This accounts for both orders of drawing.
This question belongs to: Accountancy and Statistics Statistics
Question #1218
In attribute classification, the frequency (αβ) represents units that:
A. Possess neither attribute
B. Possess the second but not the first
C. Possess both attributes
D. Possess the first but not the second
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option A

Explanation:
Using standard notation, α denotes absence of attribute A, β denotes absence of attribute B; thus (αβ) is the count of units lacking both attributes.
This question belongs to: Accountancy and Statistics Statistics
Question #1219
If the Laspeyres price index is 120 and Paasche price index is 110, Fisher's ideal index is approximately:
A. 114.0
B. 115.5
C. 116.0
D. 114.9
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
Fisher's index = √(120 × 110) = √13200 ≈ 114.89 ≈ 114.9. This geometric mean balances the upward bias of Laspeyres and downward bias of Paasche.
This question belongs to: Accountancy and Statistics Statistics
Question #1220
The circular test is most relevant for index numbers used in:
A. Short-term monthly comparisons
B. Calculating real wages
C. Long-term trend analysis with changing bases
D. International price comparisons
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
The circular test ensures consistency when chaining indices over multiple periods (e.g., 2020→2021→2022), crucial for long-term series where the base period may shift.
This question belongs to: Accountancy and Statistics Statistics

More Accountancy and Statistics Topics

Accountancy and Book Keeping MCQs
Today's Top Topics
Accountancy and Book Keeping 1861 Statistics 1318
Explore Subjects
Computer 5279 History GK 3374 English 15164 Static General Knowledge 6362 Reasoning 1120
Practice Mix
The term 'Deuce' is used when the score is tied in tennis. What specific score does it denote?
The 'Vittala Temple' is known for its:
Two stations A and B are 450 km apart. A train leaves station A at 4:00 PM at 60 km/h. Another train leaves station B at 5:00 PM at 70 km/h traveling towards A. At what time will they meet?
Which of the following is a characteristic of a distributed operating system?
Select the correct passive voice of: 'She gave me a book.'