Practice these 17 solved objective-type Statistics MCQs from the 2018 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. In qualitative data, the most suitable average is:
(A) Arithmetic mean (B) Geometric mean (C) Harmonic mean (D) Mode
Correct Answer: (D) Mode — Since qualitative data has no numerical value to average, the most frequently occurring category (mode) is used.
2. If β₂ < 3 the distribution is:
(A) Mesokurtic (B) Leptokurtic (C) Platykurtic (D) Symmetrical
Correct Answer: (C) Platykurtic — A distribution flatter than normal, with β₂ < 3, is called platykurtic.
3. If X and Y are two random variables then E(X − Y) =
(A) E(X) + E(Y) (B) E(X) − E(Y) (C) E(X) E(Y) (D) X E(Y)
Correct Answer: (B) E(X) − E(Y) — By linearity of expectation, E(X − Y) = E(X) − E(Y).
4. In hyper-geometric distributions, trials are:
(A) Independent (B) Dependent (C) Mutually exclusive (D) Not fixed
Correct Answer: (B) Dependent — Since sampling is without replacement, each trial depends on previous outcomes.
5. Brand of a soap is ---- variable:
(A) Quantitative (B) Qualitative (C) Imaginary (D) Continuous
Correct Answer: (B) Qualitative — A soap brand is an attribute, not a measurable number.
6. Probability of an event cannot be:
(A) 0 (B) Negative (C) 1 (D) Positive
Correct Answer: (B) Negative — Probability must lie between 0 and 1.
7. Headings for different columns in a table are called:
(A) Stub (B) Title (C) Column captions (D) Prefatory note
Correct Answer: (C) Column captions — Column headings in a table are called column captions.
8. Laspeyre's index number is also named as:
(A) Current year weighted (B) Base year weighted (C) Ideal index number (D) Simple index number
Correct Answer: (B) Base year weighted — It uses fixed base-period quantities as weights.
9. If p = q = 1/2, the binomial distribution is a:
(A) Skewed (B) Asymmetrical (C) Symmetrical (D) Positively skewed
Correct Answer: (C) Symmetrical — Equal p and q make the binomial distribution perfectly balanced.
10. S.D (y + a) = ----
(A) SD(y) + a (B) |a| SD(y) (C) SD(y) (D) a² SD(y)
Correct Answer: (C) SD(y) — Adding a constant doesn't change the spread of the data.
11. A graph of cummulative frequency curve is called:
(A) Histogram (B) Pie chart (C) Bar chart (D) Ogive
Correct Answer: (D) Ogive — A cumulative frequency curve is called an ogive.
12. If √β₁ = 0, the distribution is:
(A) Positively skewed (B) Symmetrical (C) Negatively skewed (D) Leptokurtic
Correct Answer: (B) Symmetrical — A zero skewness coefficient indicates symmetry.
13. In a symmetrical distribution:
(A) Mean = median = mode (B) Mean > median > mode (C) Mean < median < mode (D) Mean > median < mode
Correct Answer: (A) Mean = median = mode — All three central measures coincide in a symmetrical distribution.
14. In index number base year should be:
(A) First year (B) Second year (C) Last year (D) Normal year
Correct Answer: (D) Normal year — A stable, unaffected year makes the fairest base for comparison.
15. Σ(y − ȳ) =
(A) 0 (B) 1 (C) Least (D) Minimum
Correct Answer: (A) 0 — Deviations from the mean always sum to zero.
16. If A and B are mutually exclusive events then P(A ∪ B) equal to:
(A) P(A) + P(B) (B) P(A) + P(B) + P(A ∩ B) (C) P(A) + P(B) − P(A ∩ B) (D) P(A) − P(B) − P(A ∩ B)
Correct Answer: (A) P(A) + P(B) — For mutually exclusive events, P(A ∩ B) = 0, simplifying the addition rule.
17. A random variable is also named as:
(A) Chance variable (B) Qualitative variable (C) Attribute (D) Discrete variable
Correct Answer: (A) Chance variable — Since its value depends on a random experiment's outcome, it's also called a chance variable.
Now try the interactive version of this quiz below to test your score instantly:
0 Comments