Practice these 17 solved objective-type Statistics MCQs from the 2013 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. A quantity calculated from a population is called:
(A) Frequency (B) Statistic (C) Parameter (D) Sample
Correct Answer: (C) Parameter — A numerical value computed from the entire population is called a parameter.
2. The average of lower and upper limits of a class is called:
(A) Class mark (B) Class frequency (C) Class boundary (D) Relative frequency
Correct Answer: (A) Class mark — The midpoint of a class, found by averaging its lower and upper limits, is the class mark.
3. Cumulative frequency curve is also called:
(A) Historigram (B) Histogram (C) Ogive (D) Frequency curve
Correct Answer: (C) Ogive — A cumulative frequency curve is commonly known as an ogive.
4. The modal letter of the word "STATISTICS" is:
(A) No mode (B) S (C) T (D) S and T
Correct Answer: (D) S and T — In "STATISTICS", both S and T each appear 3 times — more than any other letter — making the word bimodal.
5. Which of the following averages is affected by extreme values:
(A) Arithmetic mean (B) Median (C) Mode (D) All of these
Correct Answer: (A) Arithmetic mean — The arithmetic mean uses every value in its calculation, so it's pulled by extreme values.
6. In a negatively skewed distribution:
(A) Mean = Mode (B) Mean > Mode (C) Mode > Mean (D) None of these
Correct Answer: (C) Mode > Mean — In a negatively (left) skewed distribution, the long tail pulls the mean below the mode.
7. If var (X) = 9, then S.D. (2X + 4) is:
(A) 36 (B) 10 (C) 18 (D) 6
Correct Answer: (D) 6 — S.D.(X) = √9 = 3; scaling by 2 gives S.D.(2X+4) = 2 × 3 = 6.
8. The range of the scores 19, 3, 140, 25, 95 is:
(A) 140 (B) 3 (C) 137 (D) 143
Correct Answer: (C) 137 — Range = maximum − minimum = 140 − 3 = 137.
9. CPI falls in the category of:
(A) A simple index (B) An aggregative index (C) An inflationary index (D) Wholesale price index
Correct Answer: (B) An aggregative index — The Consumer Price Index is built by combining many items, making it an aggregative index.
10. Which of the following formulas is a price index number:
(A) Σpₙq₀ / Σp₀q₀ × 100 (B) Σp₀qₙ / Σp₀q₀ × 100 (C) Σpₙqₙ / Σp₀q₀ × 100 (D) All of these
Correct Answer: (A) Σpₙq₀ / Σp₀q₀ × 100 — This (Laspeyre's formula) uses fixed base-period quantities, making it a genuine price index; the other formulas mix in quantity change.
11. The events A and B are mutually exclusive. If P(A) = 0.2, P(B) = 0.4, P (A ∪ B) is:
(A) 0.08 (B) 0.6 (C) 0 (D) There is not enough information
Correct Answer: (B) 0.6 — For mutually exclusive events, P(A ∪ B) = P(A) + P(B) = 0.2 + 0.4 = 0.6.
12. Which of the following cannot be probability of an event:
(A) 0 (B) 1 (C) 0.32 (D) 1.05
Correct Answer: (D) 1.05 — Probability must lie between 0 and 1.
13. The distribution function of a r.v. x, denoted by F(X), is:
(A) F(x) = P(X ≤ x) (B) F(x) = P(X ≥ x) (C) F(x) = P(X = x) (D) None of these
Correct Answer: (A) F(x) = P(X ≤ x) — The (cumulative) distribution function is defined as F(x) = P(X ≤ x).
14. Which of the following is not possible in a probability distribution:
(A) f(x) > 0 (B) Σf(x) = 1 (C) Σx f(x) = 2 (D) f(x) = −0.3
Correct Answer: (D) f(x) = −0.3 — A probability function can never be negative.
15. The parameters of the binomial distribution are:
(A) n and p (B) p and q (C) np and nq (D) np and npq
Correct Answer: (A) n and p — The binomial distribution is fully defined by n (trials) and p (success probability).
16. The mean and variance of the binomial distribution are:
(A) np and √npq (B) np and npq (C) np and nq (D) n and p
Correct Answer: (B) np and npq — For a binomial distribution, the mean is np and the variance is npq.
17. The mean of the hypergeometric distribution is:
(A) Nn / k (B) Nk / n (C) nk / N (D) (n + k) / k
Correct Answer: (C) nk / N — Where n is sample size, k the number of successes in the population, and N the population size.
Now try the interactive version of this quiz below to test your score instantly:
.png)
0 Comments