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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