SSC CGL Statistics – Measures of Central Tendency & Partition Values – Level 1 · Warm-up

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SSC CGL Statistics – Measures of Central Tendency & Partition Values – 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.  
What is the arithmetic mean of the first 20 natural numbers?

Correct Answer: C [10.5]

Explanation:

Answer: 10.5. (n + 1)/2 = 21/2 = 10.5.

2.  
The sum of the deviations of a set of values from their arithmetic mean is always:

Correct Answer: B [zero]

Explanation:

Answer: zero. Σ(x − x̄) = Σx − n x̄ = 0.

3.  
A vehicle covers equal distances at different speeds. Which average gives its correct average speed?

Correct Answer: D [Harmonic mean]

Explanation:

Equal distances → HM of the speeds.

4.  
What is the geometric mean of 3 and 27?

Correct Answer: A [9]

Explanation:

Answer: 9. √(3 × 27) = √81 = 9.

5.  
What is the harmonic mean of 2 and 6?

Correct Answer: B [3]

Explanation:

Answer: 3. 2 × 2 × 6/(2 + 6) = 24/8 = 3.

6.  
What is the median of 7, 3, 9, 5, 11, 4?

Correct Answer: D [6]

Explanation:

Order: 3, 4, 5, 7, 9, 11 → (5 + 7)/2 = 6.

7.  
Which average is most suitable for a frequency distribution with open-end classes?

Correct Answer: C [Median]

Explanation:

Median needs only the middle class, not the end classes.

8.  
What is the mode of 3, 5, 7, 5, 8, 9, 5, 7?

Correct Answer: A [5]

Explanation:

5 occurs three times – more than any other value.

9.  
The fifth decile of a distribution is the same as its:

Correct Answer: A [Median]

Explanation:

Answer: Median. D₅ = P₅₀ = Q₂ = median.

10.  
Statement-basedWhich of the following is/are correct?
I. Σ(x − A)² is least when A is the arithmetic mean.
II. Σ|x − A| is least when A is the arithmetic mean.

Correct Answer: B [Only I]

Explanation:

Squared deviations are least about the mean; absolute deviations are least about the median.

11.  
In a moderately skewed distribution of wages the mean is ₹ 46 and the median is ₹ 43. Using the empirical relation, the mode is about:

Correct Answer: C [₹ 37]

Explanation:

Mode ≈ 3 × 43 − 2 × 46 = 129 − 92 = ₹ 37.

12.  
Match the followingMatch the situation with the most suitable average:
P. Average rate of population growth Q. Average speed over equal distances R. Income data with a few very rich people S. Most popular shoe size
1. Mode 2. Median 3. Harmonic mean 4. Geometric mean

Correct Answer: D [P-4, Q-3, R-2, S-1]

Explanation:

Growth → GM; equal distances → HM; extremes → median; most common → mode.

➤ 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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