SSC CGL Statistics – Measures of Central Tendency & Partition Values – Level 2 · Exam Level · Paper II Sprint

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SSC CGL Statistics – Measures of Central Tendency & Partition Values – 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 13–16): Daily overtime (minutes) of 100 workers of a fictional factory.

Minutes 0–10 10–20 20–30 30–40 40–50 50–60
Workers 9 16 25 22 20 8
Data tableWhat is the mean overtime?

Correct Answer: B [30.2 min]

Explanation:

A = 35, h = 10: Σfu = −48 → 35 − 4.8 = 30.2.

2.  
(Use the directions above – Q 13–16)
Data tableWhat is the median overtime?

Correct Answer: A [30 min]

Explanation:

N/2 = 50 equals the cf up to 30 exactly → median = boundary 30.

3.  
(Use the directions above – Q 13–16)
Data tableWhat is the modal overtime?

Correct Answer: D [27.5 min]

Explanation:

Modal class 20–30: 20 + (25 − 16)/(50 − 16 − 22) × 10 = 20 + 9/12 × 10 = 27.5.

4.  
(Use the directions above – Q 13–16)
Data tableWhat is the upper quartile Q₃?

Correct Answer: C [41.5 min]

Explanation:

3N/4 = 75 → class 40–50: 40 + (75 − 72)/20 × 10 = 41.5.

5.  
A class has 30 students with mean marks 55 and 20 students with mean marks 70. What is the mean for all 50 students?

Correct Answer: A [61]

Explanation:

(30 × 55 + 20 × 70)/50 = (1650 + 1400)/50 = 61.

6.  
The mean of 25 observations is 40. Later it is found that 32 and 54 were recorded as 23 and 45. What is the correct mean?

Correct Answer: D [40.72]

Explanation:

Total rises by (32 + 54) − (23 + 45) = 18 → 40 + 18/25 = 40.72.

7.  
The mean of 15 numbers is 22. When one more number is included, the mean becomes 23. What is the new number?

Correct Answer: B [38]

Explanation:

Newcomer = 23 + 15 × (23 − 22) = 38.

8.  
Sales of a shop rose by 25% in the first year and by 80% in the second year. What is the average annual rate of growth?

Correct Answer: C [50%]

Explanation:

GM of 1.25 and 1.8 = √2.25 = 1.5 → 50% a year.

9.  
A trader spends equal amounts of money on rice at ₹ 20 per kg and at ₹ 30 per kg. What is his average price per kg?

Correct Answer: C [₹ 24]

Explanation:

Equal money → HM: 2 × 20 × 30/50 = ₹ 24.

10.  
Two-quantity comparison
Quantity I: harmonic mean of 10 and 40
Quantity II: geometric mean of 8 and 32

Correct Answer: C [Quantity I = Quantity II]

Explanation:

QI = 800/50 = 16; QII = √256 = 16.

11.  
The average daily wage of the men in a unit is ₹ 600 and of the women ₹ 450. The average for all is ₹ 540. What is the ratio of men to women?

Correct Answer: B [3 : 2]

Explanation:

Balance Beam: (540 − 450) : (600 − 540) = 90 : 60 = 3 : 2.

12.  
Using the (n + 1) rule, what is the upper quartile of 14, 18, 21, 25, 26, 30, 33, 36, 40, 44, 52?

Correct Answer: D [40]

Explanation:

Q₃ = 3(11 + 1)/4 = 9th item = 40.

13.  
Assertion–Reason
A: The median is preferred to the mean for income data with a few very rich persons.
R: The median is not affected by extreme values.

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

Explanation:

A few huge incomes pull the mean up but leave the middle value unchanged.

14.  
Odd one outwhich of these averages is NOT based on all the observations?

Correct Answer: B [Median]

Explanation:

The median uses only the middle position(s).

15.  
Spot My MistakeN = 60, median class 20–30, f = 20, cf up to and including this class = 38, cf before it = 18. A student writes median = 20 + (30 − 38)/20 × 10 = 16. What is the correct median?

Correct Answer: C [26]

Explanation:

Use the cf BEFORE the median class: 20 + (30 − 18)/20 × 10 = 26.

➤ 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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