Question

A school has 900 students. A study was conducted to know the hobbies of the students of the school.
Which of the following samples is representative of the population?

• A. 100 randomly chosen students from the astronomy club.
• B. 120 randomly chosen students from the school
• C. 20 randomly chosen students from grade IX.
• D. 200 randomly chosen students at the gym.

Answer 1

The correct option is B 120 randomly chosen students from the school

Option A
The sample is biased, as the students from astronomy club have been given preference. Hence, it is not
representative of the population.
Option B
The sample is biased, as grade IX students have been given preference. Hence, it is not representative of the
population.
Option C
The sample is biased, as a specific part of the population has been given the preference, i.e., students at the gym.
As the sample is biased, it is not representative of the population.
Option D
The population being considered here is all the students of the school.
The sample here is unbiased and so is representative of the population