Practice these 17 solved objective-type Statistics MCQs from the 2022 Lahore Board Inter Part 2, Paper II 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. A characteristic which varies in quality from one individual to another is called:
(A) Attribute (B) Regression (C) Statistic (D) Variable
Correct Answer: (A) Attribute — A qualitative characteristic that differs from one individual to another (like color, gender, or brand) is called an attribute.
2. Statistical inference is divided into ------ approaches:
(A) 2 (B) 3 (C) 4 (D) 5
Correct Answer: (A) 2 — Statistical inference is broadly divided into two approaches: estimation and testing of hypothesis.
3. If σ² = 5 and n = 2, then variance of the sample mean is:
(A) 2 (B) 2.5 (C) 3 (D) 5
Correct Answer: (B) 2.5 — Variance of the sample mean = σ² / n = 5 / 2 = 2.5.
4. In the regression equation y = a + bx, the constant 'a' is called:
(A) X-intercept (B) Y-intercept (C) Dependent (D) Independent
Correct Answer: (B) Y-intercept — In y = a + bx, 'a' is the value of y when x = 0, which is the Y-intercept.
5. A deserving player is not selected in the team, it is an example of:
(A) Type-II error (B) Correct decision (C) Type-I error (D) None of these
Correct Answer: (A) Type-II error — Failing to select a genuinely deserving candidate means failing to reject a false null hypothesis, which is a Type-II error.
6. The limits of the normal distribution are:
(A) 0 to ∞ (B) −∞ to +∞ (C) −∞ to 0 (D) 0 to 1
Correct Answer: (B) −∞ to +∞ — The normal distribution extends over the entire real number line.
7. A decimal number system has base:
(A) 10 (B) 8 (C) 2 (D) 16
Correct Answer: (A) 10 — The decimal number system uses ten digits (0–9), so its base is 10.
8. A value calculated from the sample is called:
(A) Parameter (B) Mean (C) Statistic (D) Proportion
Correct Answer: (C) Statistic — A numerical value computed from sample data (not the whole population) is called a statistic.
9. If the attributes A and B are completely positively associated, then the co-efficient of association is equal to:
(A) 1 (B) 0 (C) −1 (D) < 1
Correct Answer: (A) 1 — Complete positive association between two attributes gives a coefficient of association equal to +1.
10. For a normal distribution with μ = 55 and σ = 10, how much area will be found under the curve to the right of X = 55:
(A) 1.0 (B) 0.68 (C) 0.5 (D) 0.32
Correct Answer: (C) 0.5 — Since X = 55 equals the mean μ, it splits the symmetric normal curve exactly in half, leaving 0.5 of the area to the right.
11. The independent variable is also called:
(A) Regressor (B) Predictor (C) Explanatory variable (D) All of these
Correct Answer: (D) All of these — The independent variable in regression is known by all these names: regressor, predictor, and explanatory variable.
12. In a normal distribution N (μ, σ), Q₁ is equal to:
(A) μ + 0.6745σ (B) μ − 0.7979σ (C) μ + 0.75σ (D) μ − 0.6745σ
Correct Answer: (D) μ − 0.6745σ — The first quartile of a normal distribution lies below the mean at Q₁ = μ − 0.6745σ.
13. Fire in a factory is an example of:
(A) Secular trend (B) Irregular variations (C) Cyclical variations (D) Seasonal variations
Correct Answer: (B) Irregular variations — Sudden, unpredictable events like a factory fire cause irregular (random) variations in data, not a regular repeating pattern.
14. The correlation co-efficient is independent of:
(A) Origin only (B) Scale of measurement (C) Both origin and scale of measurement (D) None of these
Correct Answer: (C) Both origin and scale of measurement — The correlation coefficient r is unaffected by shifting the origin or changing the scale of measurement of either variable.
15. A trend is the better fitted trend for which the sum of squares of residuals is:
(A) Maximum (B) Zero (C) Minimum (D) None of these
Correct Answer: (C) Minimum — The least squares method chooses the trend line that minimizes the sum of squares of residuals, giving the best fit.
16. Confidence co-efficient is denoted by:
(A) 1 − β (B) α (C) β (D) 1 − α
Correct Answer: (D) 1 − α — The confidence coefficient, representing the probability that the interval contains the true parameter, is denoted 1 − α.
17. A sample is a part of the:
(A) Population (B) Sampling (C) Unit (D) Error
Correct Answer: (A) Population — A sample is defined as a subset drawn from the population for study.
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