SSC CGL Statistics – Sampling Theory – Level 1 · Warm-up

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SSC CGL Statistics – Sampling Theory – Level 1 · Warm-up – 12 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.  
A numerical value computed from the whole population, such as the population mean μ, is called a:

Correct Answer: D [Parameter]

Explanation:

Population → parameter; sample → statistic.

2.  
The sample proportion p is an example of a:

Correct Answer: C [Statistic]

Explanation:

Any value calculated from sample data is a statistic.

3.  
A complete list of all units of the population from which a sample is drawn is called the:

Correct Answer: B [Sampling frame]

Explanation:

The frame is the list (register, voter list, map) used to draw the sample.

4.  
Which of the following is a non-probability sampling method?

Correct Answer: A [Quota sampling]

Explanation:

In quota sampling the interviewer chooses the units – no known selection probability.

5.  
How many different samples of size 2 can be drawn WITHOUT replacement from a population of 8 units (order ignored)?

Correct Answer: A [28]

Explanation:

⁸C₂ = 28. (64 = 8² is the with-replacement count; 56 counts ordered samples.)

6.  
A population has SD 18. The standard error of the mean of a random sample of 81 (population very large) is:

Correct Answer: D [2]

Explanation:

Answer: 2. SE = σ/√n = 18/9 = 2.

7.  
In systematic sampling, a sample of 40 is to be selected from a list of 1,200 units. The sampling interval k is:

Correct Answer: B [30]

Explanation:

Answer: 30. k = N/n = 1,200/40 = 30.

8.  
Statement-basedWhich is/are correct?
I. A census has no sampling error.
II. A census has no non-sampling error.

Correct Answer: C [Only I]

Explanation:

No sample → no sampling error; but measurement, response and processing errors (non-sampling) remain.

9.  
Fill in the blankSampling error can be reduced by ______ the sample size.

Correct Answer: C [increasing]

Explanation:

Answer: increasing. SE = σ/√n falls as n grows.

10.  
In stratified sampling, the population is divided into strata that should be:

Correct Answer: A [Homogeneous within and heterogeneous between]

Explanation:

Units inside a stratum are alike; strata differ from each other.

11.  
Testing the life of electric bulbs (the bulb is destroyed in the test) must be done by:

Correct Answer: B [Sample survey]

Explanation:

Destructive testing of every unit would leave nothing to sell.

12.  
Match the followingMatch the method with its description:
P. Snowball Q. Cluster R. Judgement
1. whole groups chosen at random 2. respondents recruit further respondents 3. investigator picks 'typical' units

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

Explanation:

Snowball = referral chain; cluster = whole groups; judgement = investigator's choice.

➤ 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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