SSC CGL Quant – Statistics & Probability – Level 1 · Warm-up · Tier II Basics

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SSC CGL Quant – Statistics & Probability – Level 1 · Warm-up · Tier II Basics – 12 questions, subject: Quantitative Aptitude. 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.  
The mean of 12, 15, 18, 21 and 24 is:

Correct Answer: D [18]

Explanation:

Sum 90 ÷ 5 = 18 (equally spaced → middle value).

2.  
The median of 7, 3, 9, 4, 11 and 6 is:

Correct Answer: B [6.5]

Explanation:

Sorted: 3, 4, 6, 7, 9, 11 → (6 + 7)/2 = 6.5.

3.  
The mode of 4, 6, 4, 7, 6, 4, 8 is:

Correct Answer: C [4]

Explanation:

4 occurs three times – more than any other value.

4.  
The range of 23, 41, 17, 38 and 29 is:

Correct Answer: A [24]

Explanation:

41 − 17 = 24.

5.  
The mean of the first 10 natural numbers is:

Correct Answer: D [5.5]

Explanation:

(n + 1)/2 = 11/2 = 5.5.

6.  
A fair die is thrown once. The probability of getting an even number is:

Correct Answer: A [1/2]

Explanation:

3 even faces out of 6.

7.  
One card is drawn from a well-shuffled pack of 52 cards. The probability that it is a king is:

Correct Answer: C [1/13]

Explanation:

4 kings out of 52 → 4/52 = 1/13.

8.  
A coin is tossed twice. The probability of getting two heads is:

Correct Answer: B [1/4]

Explanation:

Outcomes HH, HT, TH, TT → 1 of 4.

9.  
The average of 6 numbers is 15. When one number is removed, the average of the remaining numbers is 14. The removed number is:

Correct Answer: D [20]

Explanation:

90 − 5 × 14 = 90 − 70 = 20.

10.  
Statement-basedWhich of the following is/are correct?
I. The median is the middle value of the data arranged in order.
II. A data set can have more than one mode.

Correct Answer: A [Both I and II]

Explanation:

Both true: e.g. 1, 1, 2, 2, 3 has modes 1 and 2.

11.  
Match the following
P. Mean Q. Median R. Mode
1. the most frequent value 2. sum ÷ number of values 3. the middle value in order

Correct Answer: B [P-2, Q-3, R-1]

Explanation:

Mean = sum/n; median = middle; mode = most frequent.

12.  
Fill in the blankThe probability of an event that is certain to happen is ___.

Correct Answer: C [1]

Explanation:

Probabilities lie from 0 (impossible) to 1 (certain).

➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Quantitative Aptitude book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-quantitative-aptitude

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