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A sample of 60 students is to be selected from a population of 480 students belonging to 3 different schools.
School Ni (Total No. of Students) Ni (sample size)
A 120 n1
B 200 n2
C 160 n3

Drawing a sample using proportional allocation technique would give n1, n2, n3 as

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SSC CGL Tier-II ( JSO ) 2016 Official Paper ( Held On : 2 Dec 2016 )
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  1. 15, 25, 20 respectively
  2. 12, 27, 21 respectively
  3. 10, 30, 20 respectively
  4. 5, 45, 10 respectively

Answer (Detailed Solution Below)

Option 1 : 15, 25, 20 respectively
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Detailed Solution

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Given

Total number of students to be selected = 60

Size of the population = 180

Calculation

n1 = (60/480) × 120

⇒ 15

n2 = (60/480) × 200

⇒ 25

n3 = (60/480) × 160

⇒ 20

∴ The value of n1, n2, and n3 are 15, 25, 20

 

Proportional stratified sampling = Proportional stratified sampling also called proportionate stratification and stratified sampling with proportional allocation) is one of the most commonly applied forms of stratified sampling. In proportional stratified sampling, the researcher creates a stratified sampling frame, determine the sample sizes for the strata such that the sample size are proportional to the population strata sizes and then selects  a random sample of the appropriate size from each stratum. As a result, the sample strata will be proportional to their  sizes in the population and random in every other respect
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Latest SSC CGL Updates

Last updated on Jun 13, 2025

-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.

-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.

-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.

->  The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.

->  Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.

-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.

-> The CGL Eligibility is a bachelor’s degree in any discipline.

-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

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