Statistics MCQs 2023 – Lahore Board Inter Part 2

Practice these 17 solved objective-type Statistics MCQs from the 2023 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 4 × 5 contingency table consists of:

(A) 9 cells (B) 20 cells (C) 12 cells (D) 18 cells

Correct Answer: (B) 20 cells — A contingency table with 4 rows and 5 columns has 4 × 5 = 20 cells.

2. A formula or function used to estimate a parameter is called:

(A) Estimate (B) Bias (C) Estimator (D) Estimation

Correct Answer: (C) Estimator — The formula or rule used to calculate an estimate of a parameter is called an estimator.

3. In sampling with replacement, a sampling unit can be selected:

(A) Only once (B) Only twice (C) Less than once (D) More than once

Correct Answer: (D) More than once — In sampling with replacement, each selected unit is returned to the population before the next draw, so it can be selected more than once.

4. In the least squares regression line y = a + bx, the slope is:

(A) b (B) zero (C) X (D) a

Correct Answer: (A) b — In the equation y = a + bx, 'a' is the intercept and 'b' is the slope of the line.

5. Which of the following can be alternative hypothesis H₁:

(A) θ ≤ θ₀ (B) θ ≥ θ₀ (C) θ = θ₀ (D) θ ≠ θ₀

Correct Answer: (D) θ ≠ θ₀ — The null hypothesis states an exact equality (θ = θ₀), so the standard alternative hypothesis is θ ≠ θ₀.

6. The normal distribution is:

(A) Continuous (B) Discrete (C) Positively skewed (D) Negatively skewed

Correct Answer: (A) Continuous — The normal distribution is a continuous probability distribution, defined for all real values of x.

7. A set of instructions that run the computer is:

(A) Hardware (B) Printers (C) Software (D) Monitors

Correct Answer: (C) Software — Software is the set of programs and instructions that tell computer hardware what to do.

8. The difference between statistic and parameter is called:

(A) Random error (B) Sampling error (C) Standard error (D) Non sampling error

Correct Answer: (B) Sampling error — The difference between a sample statistic and the true population parameter is called sampling error.

9. The value of χ² is always:

(A) −1 to +1 (B) Zero (C) Positive (D) Negative

Correct Answer: (C) Positive — Since χ² is a sum of squared standardized deviations, its value is always positive (non-negative).

10. The range of normal distribution is:

(A) 0 to ∞ (B) −∞ to 0 (C) −∞ to ∞ (D) 0 to −∞

Correct Answer: (C) −∞ to ∞ — The normal distribution extends over the entire real number line, from −∞ to +∞.

11. Simple linear regression model contains:

(A) One variable (B) Two variables (C) Three variables (D) More than three variables

Correct Answer: (B) Two variables — A simple linear regression model relates one dependent variable to one independent variable — two variables in total.

12. In case of symmetrical distribution:

(A) μ₁ = μ₂ (B) μ₃ = μ₄ (C) β₁ = β₂ (D) Mean = Median = Mode

Correct Answer: (D) Mean = Median = Mode — In a perfectly symmetrical distribution, the mean, median and mode all coincide at the same central value.

13. Decomposition of time series is called:

(A) Analysis of time series (B) Histogram (C) Historigram (D) Detrending

Correct Answer: (A) Analysis of time series — Breaking a time series down into its component parts (trend, seasonal, cyclical, irregular) is called analysis of time series.

14. Coefficient of correlation (r) lies between:

(A) 0 and 1 (B) −1 and 0 (C) −∞ to +∞ (D) −1 and +1

Correct Answer: (D) −1 and +1 — The correlation coefficient r always lies within the range −1 to +1, inclusive.

15. A sudden decrease in supplies due to floods is an example of:

(A) Secular trend (B) Seasonal variations (C) Cyclical variations (D) Irregular variations

Correct Answer: (D) Irregular variations — Unpredictable, one-off events like floods cause irregular (random) variations in a time series, not a regular seasonal or cyclical pattern.