Practice these 17 solved objective-type Statistics MCQs from the 2018 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. In converting the score 18, 24, 12, 22, 33 to ranks (assigning rank 1 to highest score) the rank of score 12 is:
(A) 4 (B) 5 (C) 1 (D) 3
Correct Answer: (B) 5 — Sorted in descending order: 33(1), 24(2), 22(3), 18(4), 12(5). So the score 12 gets rank 5.
2. P (type-I error) is equal to:
(A) α (B) β (C) θ (D) 1 − β
Correct Answer: (A) α — The probability of a Type-I error (rejecting a true null hypothesis) is denoted by α, the level of significance.
3. The sample is subset of:
(A) Data (B) Population (C) Parameter (D) Distribution
Correct Answer: (B) Population — A sample is a smaller group selected from, and therefore a subset of, the population.
4. The value of correlation co-efficient lies between:
(A) 0 and 1 (B) −1 and 0 (C) −1 and +1 (D) 0 and 2
Correct Answer: (C) −1 and +1 — The correlation coefficient r always lies within the range −1 to +1, inclusive.
5. The number of degrees of freedom for paired t-test based on n pairs of observation is:
(A) 2n − 1 (B) n − 2 (C) 2 (n − 1) (D) n − 1
Correct Answer: (D) n − 1 — For a paired t-test with n pairs, the differences form a single sample of size n, giving n − 1 degrees of freedom.
6. In normal distribution the value of constant π is:
(A) 23/6 (B) 22/7 (C) 30/9 (D) 42/8
Correct Answer: (B) 22/7 — The constant π used in the normal distribution formula is approximately 22/7 (≈ 3.1416).
7. One byte equals to:
(A) 8 bits (B) 4 bits (C) 7 bits (D) 13 bits
Correct Answer: (A) 8 bits — By definition, one byte consists of 8 bits.
8. The standard deviation of sampling distribution is:
(A) Dispersion (B) Difference (C) Average (D) Standard error
Correct Answer: (D) Standard error — The standard deviation of the sampling distribution of a statistic is called its standard error.
9. A qualitative characteristic is:
(A) Constant (B) Quantitative variable (C) Attribute (D) None
Correct Answer: (C) Attribute — A characteristic that describes a quality rather than a number (like color or gender) is called an attribute.
10. In normal distribution the value of constant e is:
(A) 2.7183 (B) 2.8173 (C) 2.1792 (D) 1.2345
Correct Answer: (A) 2.7183 — The mathematical constant e, used in the normal distribution formula, is approximately 2.7183.
11. In simple linear regression the number of unknowns are:
(A) One (B) Two (C) Three (D) Four
Correct Answer: (B) Two — A simple linear regression line y = a + bx has two unknown constants: the intercept 'a' and the slope 'b'.
12. If X is N (100, 64) then S.D is:
(A) 18 (B) 100 (C) 8 (D) 91
Correct Answer: (C) 8 — In N(μ, σ²) notation, the second parameter is the variance. Here σ² = 64, so S.D = √64 = 8.
13. The additive model of time series is:
(A) Y = T + C + S + I (B) Y = TCSI (C) T − C − S − I (D) T + C − S − I
Correct Answer: (A) Y = T + C + S + I — In the additive model, the observed value is the sum of its components: trend, cyclical, seasonal, and irregular.
14. The signs of regression co-efficients and correlation co-efficient are always:
(A) Different (B) Same (C) Zero (D) One
Correct Answer: (B) Same — Since r = √(b_yx × b_xy), the correlation coefficient always carries the same sign as both regression coefficients.
15. In semi average method if number of values is odd then we drop from initial two halves:
(A) First value (B) Last value (C) Middle value (D) 2nd value
Correct Answer: (C) Middle value — When the number of values is odd, the middle value is dropped so the remaining data can be split evenly into two halves.
16. Estimate and estimator are:
(A) Same (B) Different (C) Both A and B (D) Neither A nor B
Correct Answer: (B) Different — An estimator is the general formula/rule used to calculate an estimate, while an estimate is the specific numerical value obtained.
17. The probability distribution of a statistic is:
(A) Sampling (B) Parameter (C) Data (D) Sampling distribution
Correct Answer: (D) Sampling distribution — The probability distribution formed by all possible values of a statistic (from repeated sampling) is called its sampling distribution.
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