Practice these 17 solved objective-type Statistics MCQs from the 2021 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. Upper quartile is equal to:
(A) (Q₁ + Q₂) / 2 (B) Q₂ − Q₁ (C) P₇₅ (D) D₇
Correct Answer: (C) P₇₅ — The upper quartile (Q₃) marks the 75th percentile of the data.
2. In weighted price index numbers, the weights are:
(A) Values (B) Prices (C) Quantities (D) Quantity relatives
Correct Answer: (C) Quantities — Weighted price index numbers combine price relatives using quantities as weights.
3. If E(x) = 5, E(y) = 3, then E(x + y) =
(A) 2 (B) 9 (C) 5 (D) 8
Correct Answer: (D) 8 — By linearity of expectation, E(x+y) = E(x) + E(y) = 5 + 3 = 8.
4. Hyper geometric distribution has parameters:
(A) p, q (B) n, N, k (C) n, p (D) n, k
Correct Answer: (B) n, N, k — Defined by sample size n, population size N, and number of successes k.
5. Primary data are same as:
(A) Arrayed data (B) Secondary data (C) Raw data (D) Grouped data
Correct Answer: (C) Raw data — Primary data is collected directly and hasn't been processed yet.
6. The probability of a sure event is:
(A) 1.2 (B) -1 (C) 0 (D) 1
Correct Answer: (D) 1 — A sure event is guaranteed to happen, so its probability is 1.
7. Sum of the deviations from mean is:
(A) -1 (B) 0 (C) 1 (D) 2
Correct Answer: (B) 0 — Deviations from the mean always cancel out to zero.
8. An orderly arrangement of objects is called:
(A) Combination (B) Permutation (C) Union (D) Intersection
Correct Answer: (B) Permutation — An arrangement where order matters is a permutation.
9. Binomial random variable can assume value:
(A) 1, 2, ----- (B) 0, 1, 2, ----- (C) 1, 2, -----, n (D) 0, 1, 2, -----, n
Correct Answer: (D) 0, 1, 2, -----, n — The number of successes ranges from 0 up to n, inclusive.
10. Standard deviation is independent of:
(A) Origin and scale (B) Origin (C) Scale (D) Data
Correct Answer: (B) Origin — S.D. doesn't change with a shift in origin, but it does change with a change of scale.
11. A graph of a frequency distribution is:
(A) Bar diagram (B) Pie chart (C) Historigram (D) Histogram
Correct Answer: (D) Histogram — A frequency distribution is graphically represented by a histogram.
12. If var (x) = 9, then S.D (2x + 4) is:
(A) 6 (B) 12 (C) 10 (D) 20
Correct Answer: (A) 6 — S.D.(x) = √9 = 3; scaling by 2 gives S.D.(2x+4) = 2 × 3 = 6.
13. Measure of dispersion can never be:
(A) 0 (B) 1 (C) Greater than zero (D) Less than zero
Correct Answer: (D) Less than zero — Dispersion is always non-negative.
14. Base year weighted index numbers are:
(A) Laspeyre's (B) Paasche's (C) Fisher's (D) Marshall's
Correct Answer: (A) Laspeyre's — It uses fixed base-period quantities as weights.
15. Mean of a constant 'K' is:
(A) K (B) K² (C) K − 2 (D) K + 3
Correct Answer: (A) K — If every value equals K, the mean is also K.
16. If 'c' is a constant then E(c) =
(A) E(x+c) (B) E(x) (C) c (D) E(x-c)
Correct Answer: (C) c — The expected value of a constant is the constant itself.
17. Nature of binomial variable is:
(A) Continuous (B) Discrete (C) Qualitative (D) Dependent
Correct Answer: (B) Discrete — It counts successes, which can only take whole-number values.
Now try the interactive version of this quiz below to test your score instantly:
0 Comments