SSC CGL Statistics – Collection, Classification & Presentation of Data – Exam-Level Drill

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SSC CGL Statistics – Collection, Classification & Presentation of Data – Exam-Level Drill – 10 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.  

Directions (Q 36–38): Production (thousand units) of four plants of a fictional company.

Plant P1 P2 P3 P4
2024 30 45 15 60
2025 36 54 30 60
Data tableIn a pie diagram of the 2025 production, what is the central angle of P3?

Correct Answer: D [60°]

Explanation:

Answer: 60°. 30/180 × 360° = 60°.

2.  
(Use the directions above – Q 36–38)
Data tableBy how many degrees does the central angle of P4 change from the 2024 pie to the 2025 pie?

Correct Answer: B [Decreases by 24°]

Explanation:

2024: 60/150 × 360 = 144°; 2025: 60/180 × 360 = 120° → 24° less.

3.  
(Use the directions above – Q 36–38)
Data tableWhich plant's share of total production rose the most from 2024 to 2025?

Correct Answer: B [P3]

Explanation:

P3: 10% → 16⅔%; P1 and P2 shares unchanged (20%, 30%); P4 fell from 40% to 33⅓%.

4.  

Directions (Q 39–40): Daily wages of 70 workers (less-than cumulative frequencies).

Wage less than (₹) 200 300 400 500 600
Workers 8 20 44 64 70
Data tableHow many workers earn at least ₹ 300 but less than ₹ 500?

Correct Answer: A [44]

Explanation:

Answer: 44. 64 − 20 = 44.

5.  
(Use the directions above – Q 39–40)
Data tableHow many workers earn ₹ 400 or more?

Correct Answer: D [26]

Explanation:

Answer: 26. 70 − 44 = 26.

6.  
Ages (years) of the residents of a fictional village: 0–5: 15, 5–15: 40, 15–30: 45, 30–50: 50, 50–80: 30. In a correctly drawn histogram, which class has the tallest bar?

Correct Answer: C [5–15]

Explanation:

Densities: 3, 4, 3, 2.5, 1 per year → 5–15 is tallest though 30–50 has the largest frequency.

7.  
Two values, 2,25,000 and 4,00,000, are shown by circles. If the smaller circle has a radius of 4.5 cm, what is the radius of the larger circle?

Correct Answer: D [6 cm]

Explanation:

Radius ∝ √value: √2,25,000 : √4,00,000 = 15 : 20 = 3 : 4 → 4.5 × 4/3 = 6 cm.

8.  
Values 64,000 and 2,16,000 are shown by cubes. If the first cube has a side of 3 cm, what is the side of the second cube?

Correct Answer: C [4.5 cm]

Explanation:

Side ∝ ∛value: ∛64 : ∛216 = 4 : 6 → 3 × 1.5 = 4.5 cm.

9.  
Inclusive classes are 2.0–2.4, 2.5–2.9, 3.0–3.4. What are the boundaries and the class mark of 2.5–2.9?

Correct Answer: A [2.45–2.95; class mark 2.7]

Explanation:

Gap 0.1 → subtract and add 0.05; mark = (2.5 + 2.9)/2 = 2.7.

10.  
Two-quantity comparisonFor the wage data of Q 39–40 (values spread evenly within a class):
Quantity I: number of workers earning less than ₹ 250
Quantity II: number of workers earning ₹ 500 or more

Correct Answer: A [Quantity I > Quantity II]

Explanation:

QI = 8 + 12 × 50/100 = 14; QII = 70 − 64 = 6.

➤ 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)
Here you get the answer with a one-line explanation. 657 original questions with worked answers · notes, formulas, figures and statistical tables (z, t, χ², F) · practice sets + 3 mock tests
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