Practice these 17 solved objective-type Statistics MCQs from the 2019 Lahore Board 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. An index number computed for a single commodity is called:
(A) Simple index (B) Composite index (C) Weighted index (D) Retail price index
Correct Answer: (A) Simple index — An index number based on just one commodity is a simple index number.
2. For certain frequency distribution Σ(X − 20) = 25 and Σ(X − 18) = 0, then mean is:
(A) 20 (B) 25 (C) 18 (D) Zero
Correct Answer: (C) 18 — Σ(X − A) = 0 exactly when A equals the mean, so the mean is 18.
3. If a coin is tossed four times, the number of total sample points will be:
(A) 4 (B) 8 (C) 16 (D) 2
Correct Answer: (C) 16 — Each toss has 2 outcomes, so 4 tosses give 2⁴ = 16 total sample points.
4. The process of systematic arrangement of data into rows and columns is called:
(A) Classification (B) Stub (C) Box head (D) Tabulation
Correct Answer: (D) Tabulation — Arranging data systematically into rows and columns for presentation is called tabulation.
5. In hypergeometric experiment the successive trials are:
(A) Independent (B) Dependent (C) Fixed (D) Infinite
Correct Answer: (B) Dependent — Since sampling is without replacement, each trial depends on the outcome of previous ones.
6. Difference between largest and smallest value is called:
(A) Standard deviation (B) Mean deviation (C) Quartile deviation (D) Range
Correct Answer: (D) Range — The range is defined as the difference between the largest and smallest values.
7. The sum of square of deviation from mean is:
(A) Least (B) Infinity (C) Zero (D) None of these
Correct Answer: (A) Least — The sum of squared deviations is minimized specifically when taken from the mean.
8. A constant can assume values:
(A) Fixed (B) Not fixed (C) Infinity (D) Variable values
Correct Answer: (A) Fixed — By definition, a constant always takes one fixed value.
9. In fixed base method, the base period should be:
(A) 100 (B) Never changed (C) Changed (D) None of these
Correct Answer: (B) Never changed — In the fixed base method, the same base period is used throughout for every comparison.
10. Random numbers are sequence of digits from the set:
(A) {0,1,2,----10} (B) {0,1,2,----9} (C) {1,2,----10} (D) {1,2,----9}
Correct Answer: (B) {0,1,2,----9} — Random number tables are built from the 10 single digits 0 through 9.
11. If √β₁ = 0 then distribution is:
(A) Skewed (B) Symmetrical (C) -vely skewed (D) None of these
Correct Answer: (B) Symmetrical — A zero skewness coefficient indicates the distribution is symmetrical.
12. If a distribution has two modes then it is called:
(A) Uni-model (B) Bi-model (C) Tri-model (D) None of these
Correct Answer: (B) Bi-model — A distribution with exactly two modes is called bimodal.
13. In binomial probability distribution (1/5 + 4/5)⁵ parameters are:
(A) (25, 4/5) (B) (100, 4/5) (C) (5, 4/5) (D) (5/5, 4/5)
Correct Answer: (C) (5, 4/5) — The exponent 5 gives n = 5, and the second term 4/5 is the probability p, so the parameters are (n, p) = (5, 4/5).
14. The half of the difference between upper and lower quartile is:
(A) Mean deviation (B) Quartile deviation (C) Inter quartile range (D) Range
Correct Answer: (B) Quartile deviation — Quartile deviation is defined as (Q₃ − Q₁)/2.
15. The difference between the upper and lower class boundary of a class is known as:
(A) Class frequency (B) Class mark (C) Class limit (D) None of these
Correct Answer: (D) None of these — This difference is actually called the class interval (or class width) — a term not listed among the given options.
16. A set of all possible outcomes of a random experiment is called:
(A) Null set (B) Sample points (C) Sample space (D) Simple events
Correct Answer: (C) Sample space — The sample space is defined as the set of every possible outcome of an experiment.
17. An expected value of a random variable is equal to its:
(A) Variance (B) S.D (C) Co-variance (D) Mean
Correct Answer: (D) Mean — The expected value of a random variable is, by definition, its mean.
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