Practice these 17 solved objective-type Statistics MCQs from the 2025 – 1st Annual Inter Part 1 Paper I exam. Each question below includes the verified correct answer and a short explanation. Scroll down to attempt the interactive quiz version with instant scoring.
1. The observation which occurs maximum number of times is called:
(A) Mode (B) Median (C) H.M. (D) A.M.
Correct Answer: (A) Mode — The value that occurs most frequently in a data set is called the mode.
2. The difference between smallest and largest value is called:
(A) Range (B) S.D. (C) Interval (D) Q.D.
Correct Answer: (A) Range — The range is defined as the difference between the largest and smallest values in a data set.
3. If x and y are independent random variables, then E ( x . y ) is equal to:
(A) E (x) . E(y) (B) x . E(y) (C) y . E(x) (D) E (x) / E(y)
Correct Answer: (A) E (x) . E(y) — For independent random variables, E(xy) = E(x) × E(y).
4. In hyper-geometric experiment, the successive trials are:
(A) Unlimited (B) Independent (C) Not fixed (D) Dependent
Correct Answer: (D) Dependent — Hypergeometric sampling is done without replacement, so each trial's outcome depends on the ones before it.
5. The body temperature is an example of:
(A) Continuous variable (B) Qualitative variable (C) Discrete variable (D) Constant
Correct Answer: (A) Continuous variable — Body temperature can take any value within a range, so it is continuous.
6. Probability of drawing an Ace card is:
(A) 1/2 (B) 1/4 (C) 1/13 (D) 1/5
Correct Answer: (C) 1/13 — There are 4 Aces in a deck of 52 cards, so the probability is 4/52 = 1/13.
7. The graph of frequency distribution is called:
(A) Ogive (B) Pie-chart (C) Histogram (D) Historigram
Correct Answer: (C) Histogram — A frequency distribution is graphically represented as a histogram.
8. Base-year weighted index number is also called:
(A) Paasche's index (B) Laspeyre's index (C) Fisher's index (D) Marshal index
Correct Answer: (B) Laspeyre's index — Laspeyre's index uses base-year quantities as weights, so it is also called the base-year weighted index.
9. In binomial distribution, if n = 16 and p = 1/2, then variance will be:
(A) 2 (B) 5 (C) 4 (D) 6
Correct Answer: (C) 4 — Variance = npq = 16 × (1/2) × (1/2) = 4.
10. If y = 5 + 2x, then variance of y will be:
(A) var (x) (B) 2 var (x) (C) 4 var (x) (D) 5 var (x)
Correct Answer: (C) 4 var (x) — For y = a + bx, var(y) = b² var(x). Here b = 2, so var(y) = 4 var(x).
11. A quantity calculated using population data is called:
(A) Statistic (B) Parameter (C) Frequency (D) Sample
Correct Answer: (B) Parameter — A numerical value computed from the entire population is called a parameter.
12. The second moment about mean is:
(A) Mean (B) Mean deviation (C) Median (D) Variance
Correct Answer: (D) Variance — By definition, the second central moment (moment about the mean) is the variance.
13. Which average is the reciprocal of the simple average of the reciprocal of all values:
(A) A.M. (B) H.M. (C) Mode (D) Median
Correct Answer: (B) H.M. — The harmonic mean is defined as the reciprocal of the average of the reciprocals of the values.
14. In chain base method, the base period is:
(A) Fixed (B) Not fixed (C) Middle year (D) Last year
Correct Answer: (B) Not fixed — In the chain base method, the base period changes each year, so it is not fixed.
15. The sum of deviations of values from their mean is always:
(A) 1 (B) Minimum (C) Maximum (D) Zero
Correct Answer: (D) Zero — Deviations from the mean always cancel out to zero.
16. Probability of an event cannot be:
(A) Positive (B) Zero (C) One (D) Negative
Correct Answer: (D) Negative — Probability always lies between 0 and 1 inclusive, so it can never be negative.
17. Given E (x) = 2, E ( x² ) = 6 then var (x) is:
(A) 6 (B) 2 (C) 4 (D) 1
Correct Answer: (B) 2 — var(x) = E(x²) − [E(x)]² = 6 − 4 = 2.
Now try the interactive version of this quiz below to test your score instantly:
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