Practice these 17 solved objective-type Statistics MCQs from the 2017 Lahore Board Inter Part 2, 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. The mean deviation in normal distribution is:
(A) 3/4 σ (B) 4/5 σ (C) 7/8 σ (D) 2/3 σ
Correct Answer: (B) 4/5 σ — The mean deviation of a normal distribution is approximately 0.7979σ, which is closest to 4/5σ (0.8σ).
2. Normal distribution is:
(A) Unimodal (B) Bi-model (C) Tri-model (D) Multi-model
Correct Answer: (A) Unimodal — The normal distribution has a single peak at its mean, making it unimodal.
3. The total area under the normal curve is called:
(A) 1 (B) < 1 (C) > 1 (D) None of these
Correct Answer: (A) 1 — Like any probability distribution, the total area under the normal curve is exactly 1.
4. Systematic component of error is called:
(A) Sampling error (B) Bias (C) Precision (D) Accuracy
Correct Answer: (B) Bias — A consistent, systematic deviation of an estimate from the true value is called bias.
5. In random sampling, the probability of selecting an item from the population is:
(A) Unknown (B) Known (C) Undecided (D) Decided
Correct Answer: (B) Known — Random sampling is defined by every item having a known probability of selection.
6. The mean of sampling distribution of X̄ is always equal to:
(A) σ (B) μ − σ (C) σ/√n (D) μ
Correct Answer: (D) μ — The sampling distribution of the sample mean is centered exactly on the population mean μ.
7. A population parameter is estimated from:
(A) Estimate (B) Population (C) Estimator (D) Sample data
Correct Answer: (D) Sample data — A population parameter is estimated using data collected from a sample.
8. t-distribution is used when:
(A) Population is normal (B) σ² is unknown (C) Sample is small (D) All of these
Correct Answer: (D) All of these — The t-distribution applies when the population is normal, the population variance is unknown, and the sample size is small.
9. The probability of rejecting H₀, when it is true, called:
(A) Confidence co-efficient (B) Level of significance (C) Size of test (D) Power of the test
Correct Answer: (B) Level of significance — The probability of rejecting a true null hypothesis (Type-I error probability) is called the level of significance, denoted α.
10. In ŷ = a + bx, b is the:
(A) y-Intercept (B) Slope (C) x-Intercept (D) Trend value
Correct Answer: (B) Slope — In the regression equation ŷ = a + bx, 'b' represents the slope of the line.
11. If r_xy = 0.84 then r_yx is:
(A) −0.84 (B) 0.42 (C) 0.84 (D) −0.42
Correct Answer: (C) 0.84 — The correlation coefficient is symmetric: r_xy always equals r_yx.
12. Correlation is said to be positively perfect, if:
(A) r = 1 (B) r_yx = r_yx (C) r = 0.98 (D) r = 0
Correct Answer: (A) r = 1 — A correlation coefficient of exactly r = 1 indicates perfect positive correlation between the two variables.
13. The value of χ² is always:
(A) Zero (B) −1 to +1 (C) Negative (D) Positive
Correct Answer: (D) Positive — Since χ² is a sum of squared standardized deviations, its value is always positive (non-negative).
14. The eye colour of 100 men is:
(A) Variable (B) Constant (C) Attribute (D) None of these
Correct Answer: (C) Attribute — Eye colour is a qualitative characteristic, so it is classified as an attribute rather than a numerical variable.
15. Components of time series are:
(A) 2 (B) 3 (C) 4 (D) 1
Correct Answer: (C) 4 — A time series is generally broken down into four components: trend, seasonal, cyclical, and irregular variations.
16. A graph of time series is called:
(A) Histogram (B) Polygon (C) Historigram (D) Straight line
Correct Answer: (C) Historigram — A time series (values plotted against time) is graphically represented as a historigram.
17. The word computer came from the word:
(A) Compute (B) Measure (C) Memory (D) Count
Correct Answer: (A) Compute — The word 'computer' originates from the word 'compute', meaning to calculate.
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