Practice these 17 solved objective-type Statistics MCQs from the 2010 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. If S.D. (x) = 5, then S.D. = (2x + 5) / 2 is equal to:
(A) 5 (B) 10 (C) 15 (D) 7.5
Correct Answer: (A) 5 — (2x + 5)/2 simplifies to x + 2.5, just a shift of x, so S.D. stays 5.
2. In a hypergeometric distribution N = 6, n = 2, k = 3, then mean =
(A) 2 (B) 3 (C) 1 (D) 4
Correct Answer: (C) 1 — Mean = nk/N = (2 × 3)/6 = 1.
3. When a die and a coin are rolled together, all possible outcomes are:
(A) 6 (B) 2 (C) 36 (D) 12
Correct Answer: (D) 12 — 6 die outcomes × 2 coin outcomes = 12 total outcomes.
4. An ogive is a:
(A) Frequency curve (B) Frequency polygon (C) Cumulative frequency curve (D) Histogram
Correct Answer: (C) Cumulative frequency curve — An ogive is the graph of a cumulative frequency distribution.
5. The percentage of observations lying within the limits X ± 3S in the normal distribution is:
(A) 68.26% (B) 95.44% (C) 70.00% (D) 99.73%
Correct Answer: (D) 99.73% — Under the empirical rule, about 99.73% of observations lie within 3 standard deviations of the mean.
6. If Laspeyre's index number is 200, Paasch's index number is 200, then Fisher's index:
(A) 100 (B) 200 (C) Zero (D) 1000
Correct Answer: (B) 200 — Fisher's index = √(Laspeyre's × Paasche's) = √(200 × 200) = 200.
7. The sum of rows or sum of columns of a bivariate frequency distribution are equal to:
(A) Σf (B) Σx (C) Σfx (D) 100
Correct Answer: (A) Σf — Summing all rows or all columns gives the marginal totals, which add up to Σf.
8. The binomial probability distribution is symmetrical when:
(A) p = q (B) p < q (C) p > q (D) np > npq
Correct Answer: (A) p = q — When p = q, the binomial distribution is perfectly balanced.
9. In a binomial experiment, the successive trials are:
(A) Dependent (B) Independent (C) Mutually exclusive (D) Fixed
Correct Answer: (B) Independent — Each trial in a binomial experiment doesn't affect the others.
10. Sum of deviations of observations from their mean is:
(A) Zero (B) One (C) Less than zero (D) Greater than zero
Correct Answer: (A) Zero — Deviations from the mean always cancel out to zero.
11. For a random variable 'x', ΣP(X) is equal to:
(A) Zero (B) 1 (C) Greater than 1 (D) Less than 1
Correct Answer: (B) 1 — All probabilities of a random variable must sum to 1.
12. If 'a' and 'b' are two positive numbers, then their geometric mean is:
(A) ab (B) a + b (C) a − b (D) √(ab)
Correct Answer: (D) √(ab) — The geometric mean of two values is the square root of their product.
13. A measure of the chance that an uncertain event will occur:
(A) An experiment (B) An event (C) A probability (D) A trial
Correct Answer: (C) A probability — Probability measures exactly this chance/likelihood.
14. Weight of students in a class make:
(A) Discrete data (B) Continuous data (C) Qualitative data (D) Constant data
Correct Answer: (B) Continuous data — Weight can take any value within a range, making it continuous.
15. Link relatives can be obtained dividing Pₙ by:
(A) P₀ (B) Pₙ₋₁ (C) q₀ (D) qₙ₋₁
Correct Answer: (B) Pₙ₋₁ — A link relative compares the current period's price to the immediately preceding period.
16. An expected value of a random variable is equal to its:
(A) Mean (B) Variance (C) S.D. (D) Co-variance
Correct Answer: (A) Mean — The expected value of a random variable is, by definition, its mean.
17. If yᵢ = axᵢ + b, where 'a' and 'b' are any two constants the var (y) =
(A) a var(x) + b (B) var(x) + b (C) a² var(x) (D) a var(x)
Correct Answer: (C) a² var(x) — A constant doesn't affect variance, but scaling by a multiplies variance by a².
Now try the interactive version of this quiz below to test your score instantly:
0 Comments