SSC CGL Statistics – Collection, Classification & Presentation of Data – Level 3 · Challenge

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SSC CGL Statistics – Collection, Classification & Presentation of Data – Level 3 · Challenge – 8 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.  
In a percentage bar diagram, product A is 35% of a firm's sales of ₹ 80 lakh in one year. Next year the sales are ₹ 1.2 crore and A's share is 30%. By how much did A's sales change?

Correct Answer: C [Rose by ₹ 8 lakh]

Explanation:

35% of 80 = 28 lakh; 30% of 120 = 36 lakh → rise of ₹ 8 lakh although the share fell.

2.  
In a histogram drawn with a standard width of 10, the class 40–70 is shown with height 6. What is its frequency?

Correct Answer: D [18]

Explanation:

Height = f × 10/30 → f = 6 × 3 = 18.

3.  
In a pie diagram the sectors for items A and B are 72° and 108°. If B exceeds A by ₹ 9,000, what is the total?

Correct Answer: C [₹ 90,000]

Explanation:

36° = ₹ 9,000 → 360° = ₹ 90,000.

4.  
Classes 0–20, 20–40, 40–60 have frequencies 10, 25, 15. Assuming the values in each class are spread evenly, about how many values are below 28?

Correct Answer: D [20]

Explanation:

10 + 25 × (28 − 20)/20 = 10 + 10 = 20.

5.  
Diagram-basedThe histogram shows the daily wages of the workers of a fictional workshop.

How many workers earn ₹ 400 or more?

Correct Answer: B [40]

Explanation:

Bars from 400: 22 + 12 + 6 = 40.

6.  
True/False countHow many of the following statements are true?
(i) A pie diagram is a two-dimensional diagram.
(ii) In a cube diagram the side is proportional to the cube root of the value.
(iii) A historigram shows a frequency distribution.
(iv) A less-than ogive is plotted against the lower boundaries of the classes.

Correct Answer: A [Two]

Explanation:

(i) and (ii) are true; a historigram shows a time series; a less-than ogive uses upper boundaries.

7.  
The less-than cumulative frequencies of five equal classes are 4, 11, x, 39 and 45. The third class has 4 more values than the fourth. Find x.

Correct Answer: A [27]

Explanation:

f₃ = x − 11, f₄ = 39 − x; x − 11 = 39 − x + 4 → x = 27.

8.  
Arrange in orderArrange the stages of a statistical enquiry in the correct order:
1. Tabulation 2. Collection 3. Analysis and interpretation 4. Classification 5. Presentation by diagrams

Correct Answer: C [2, 4, 1, 5, 3]

Explanation:

Collect → classify → tabulate → present → analyse and interpret.

➤ 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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