SSC CGL Statistics – Measures of Dispersion – Level 1 · Warm-up
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Range = L − S; QD = (Q₃ − Q₁)/2; CV = σ/x̄ × 100; variance = σ².
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SSC CGL Statistics – Measures of Dispersion – Level 1 · Warm-up – 12 questions, subject: Statistics (Tier II Paper II). Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.
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1.
Which one of the following is a relative measure of dispersion?
Correct Answer: D [Coefficient of variation]
Explanation:
A coefficient is a pure number; the others carry the unit of the data.
2.
If 5 is added to every observation of a data set, its standard deviation:
Correct Answer: C [remains unchanged]
Explanation:
SD does not depend on the origin.
3.
What is the standard deviation of the two values 8 and 20?
Correct Answer: B [6]
Explanation:
Half the difference: (20 − 8)/2 = 6.
4.
The smallest and largest values of a series are 15 and 35. What is the coefficient of range?
Correct Answer: A [0.4]
Explanation:
(35 − 15)/(35 + 15) = 20/50 = 0.4.
5.
Q₁ = 18 and Q₃ = 34. What is the quartile deviation?
Correct Answer: C [8]
Explanation:
Answer: 8. (34 − 18)/2 = 8.
6.
Q₁ = 18 and Q₃ = 34. What is the coefficient of quartile deviation?
Correct Answer: D [4/13]
Explanation:
(34 − 18)/(34 + 18) = 16/52 = 4/13.
7.
The standard deviation of a distribution is 7. What is its variance?
Correct Answer: A [49]
Explanation:
Answer: 49. Variance = σ² = 49.
8.
The mean of a series is 40 and its standard deviation is 10. What is the coefficient of variation?
Correct Answer: B [25%]
Explanation:
Answer: 25%. 10/40 × 100 = 25%.
9.
The mean deviation is least when deviations are taken from the:
Correct Answer: A [median]
Explanation:
Σ|x − A| is least at A = median.
10.
Statement-basedWhich of the following is/are correct?
I. The standard deviation is not affected by a change of origin.
II. The variance is not affected by a change of scale.
I. The standard deviation is not affected by a change of origin.
II. The variance is not affected by a change of scale.
Correct Answer: D [Only I]
Explanation:
Variance is multiplied by b² when every value is multiplied by b.
11.
A Lorenz curve is mainly used to study:
Correct Answer: B [inequality in the distribution of income or wealth]
Explanation:
It compares the cumulative % of income with the cumulative % of population.
12.
Match the followingMatch the measure with its formula:
P. Range Q. Quartile deviation R. Coefficient of variation S. Variance
1. σ/x̄ × 100 2. σ² 3. L − S 4. (Q₃ − Q₁)/2
P. Range Q. Quartile deviation R. Coefficient of variation S. Variance
1. σ/x̄ × 100 2. σ² 3. L − S 4. (Q₃ − Q₁)/2
Correct Answer: C [P-3, Q-4, R-1, S-2]
Explanation:
Range = L − S; QD = (Q₃ − Q₁)/2; CV = σ/x̄ × 100; variance = σ².
➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Statistics (Tier II Paper II) book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-statistics
📘 SSC CGL 2026 – Statistics (Tier II Paper II)
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