SSC CGL Statistics – Collection, Classification & Presentation of Data – Level 2 · Exam Level · Paper II Sprint

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SSC CGL Statistics – Collection, Classification & Presentation of Data – Level 2 · Exam Level · Paper II Sprint – 15 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 13–15): Marks of 60 students in a test.

Marks 0–10 10–20 20–30 30–40 40–50
Students 6 9 15 18 12
Data tableHow many students scored less than 40 marks?

Correct Answer: D [48]

Explanation:

Less-than cf up to 40 = 6 + 9 + 15 + 18 = 48.

2.  
(Use the directions above – Q 13–15)
Data tableWhat percentage of the students scored 20 marks or more?

Correct Answer: C [75%]

Explanation:

(15 + 18 + 12)/60 × 100 = 45/60 × 100 = 75%.

3.  
(Use the directions above – Q 13–15)
Data tableIn the more-than cumulative frequency table, what is the entry for '30 and above'?

Correct Answer: B [30]

Explanation:

Mirror Cumulative: 60 − (less-than cf below 30 = 30) = 30.

4.  
The annual expenditure of a firm is ₹ 2,40,000. In its pie diagram, the sector for advertising has an angle of 66°. How much is spent on advertising?

Correct Answer: A [₹ 44,000]

Explanation:

Answer: ₹ 44,000. 66/360 × 2,40,000 = ₹ 44,000.

5.  
An item forms 13.5% of a total. What is the angle of its sector in a pie diagram?

Correct Answer: C [48.6°]

Explanation:

Answer: 48.6°. 13.5 × 3.6 = 48.6°.

6.  
Classes 10–15, 15–25 and 25–45 have frequencies 12, 30 and 40. In a histogram where the 10–15 bar has height 12, what is the height of the 25–45 bar?

Correct Answer: D [10]

Explanation:

Standard width 5: 40 × 5/20 = 10.

7.  
The class marks of a distribution are 7, 12, 17 and 22. What is the upper boundary of the last class?

Correct Answer: A [24.5]

Explanation:

Width = 12 − 7 = 5 → last class 19.5–24.5.

8.  
Two-quantity comparison
Quantity I: width of the class 14.5–19.5
Quantity II: width of the inclusive class 15–19 (in the series 10–14, 15–19, 20–24)

Correct Answer: C [Quantity I = Quantity II]

Explanation:

QI = 5; QII = 19.5 − 14.5 = 5.

9.  
Odd one outwhich of these is NOT a one-dimensional diagram?

Correct Answer: B [Pie diagram]

Explanation:

In a pie diagram the value is shown by area – it is two-dimensional.

10.  
Assertion–Reason
A: The schedule method is suitable when many informants are non-literate.
R: In the schedule method the enumerator, not the informant, fills in the form.

Correct Answer: A [Both A and R are true and R explains A]

Explanation:

The informant need not read or write because the enumerator fills the form.

11.  
The number of vehicles in two towns, 19,600 and 44,100, is shown by squares. If the first square has side 2 cm, what is the side of the second?

Correct Answer: D [3 cm]

Explanation:

Side ∝ √value: √196 : √441 = 14 : 21 = 2 : 3 → 3 cm.

12.  
According to Sturges' rule, about how many classes should a frequency table of 64 observations have?

Correct Answer: C [7]

Explanation:

k = 1 + 3.322 × log₁₀ 64 ≈ 1 + 3.322 × 1.806 ≈ 7 (also 1 + log₂ 64 = 7).

13.  
Fill in the blankA graph of a time series is called a ______.

Correct Answer: B [historigram]

Explanation:

Time on the x-axis → historigram; a histogram shows a frequency distribution.

14.  
Which method of collecting primary data is most suitable when informants are likely to hide facts about themselves, for example in an enquiry into drinking habits?

Correct Answer: A [Indirect oral investigation]

Explanation:

Third persons who know the facts are questioned instead of the informants.

15.  
Spot My Mistake“Classes 5–9, 10–14, 15–19 are inclusive, so the width of 10–14 is 14 − 10 = 4.” What is the correct width?

Correct Answer: B [5]

Explanation:

Boundaries 9.5–14.5 → width 5 (or difference of lower limits 10 − 5).

➤ 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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