Question types

Sampling methods question types

115 questions across 6 question groups — pick any mix to generate a Statistics paper with step-by-step answer keys.

115
Questions
6
Question groups
5
Question types
Sample Questions

Sampling methods questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark
A security checkpoint that ‘checks every vehicle entering into the mall is an example of which of the following ?
  • Census inquiry
  • B
    Stratified random sampling
  • C
    Systematic sampling
  • D
    Simple random sampling

Answer: A.

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Q 2MCQ1 Mark
Suppose we are using stratified sampling for a particular population and have divided it into strata of different sizes. How can we now make sample selection?
  • A
    Select an equal number of units from each Stratum at random.
  • B
    Draw unequal number of units from each Stratum and weigh the results.
  • Draw number of units from each stratum proportional to their size in the population.
  • D
    None of the above

Answer: C.

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Q 3MCQ1 Mark
Which sampling is affected the most if there is hidden periodicity in population ?
  • A
    Simple random sampling
  • B
    Stratified random sampling
  • Systematic sampling
  • D
    Both $(b)$ and $(c)$

Answer: C.

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Q 4MCQ1 Mark
A parameter and statistic respectively are characteristics of which of the following ?
  • Population and Sample
  • B
    Sample and Population
  • C
    Sample and Sample
  • D
    Population and Population

Answer: A.

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Q 5MCQ1 Mark
Which of the following statements is true ?
  • A
    In stratified random sampling, all the units of the population have equal chance of being selected in the sample.
  • In simple random sampling all units of the population have equal chance of being selected in the sample.
  • C
    In any sampling method, the sample size does not depend on population.
  • D
    In systematic sampling, all units of the population have equal chance of being selected in the sample.

Answer: B.

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Q 122 Mark Each2 Marks
An owner of a service station has a list of $1000$ car owners who have got their car repaired at his service station. He wishes to conduct satisfaction survey of $50$ car owners. Explain how a sample of $50$ car owners can be selected using systematic sampling.
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Q 132 Mark Each2 Marks
There are $40$ flats in a multi—storied apartment. $5$ flats are to be selected using systematic sampling from $40$ flats for decoration in a cultural program. Explain how the sample can be selected ?
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Q 163 Marks Each3 Marks
Draw a random sample of size $5$ $(i)$ with replacement $(ii)$ without replacement from a population of $50$ units using the following $15$ two digit random numbers: $62, 25, 6, 60, 95, 55, 98, 11, 71, 25, 20, 45, 89, 27, 40$
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Q 214 Marks Each4 Marks
For studying the usage of mobile phones, randomly select $7$ persons without replacement from $30$ boys and $20$ girls from a locality of a city. There should be $3$ boys and $4$ girls in the randomly selected $7$ persons.
Random numbers for boys : $82, 95, 18, 96, 20, 84, 56, 11, 52, 03$
Random numbers for girls : $04, 40, 34, 13, 72, 11, 50, 55, 08, 11, 76, 18$
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Q 225 Mark Each5 Marks
Draw a random sample of $1$ percent students without replacement from 1500 students of a particular college for giving their opinion on college facilities. There are $600$ students in First year $(FY), 500$ students in Second year $(SY)$ and $400$ students of Third year $(TY)$ class in the college. Use the following $40$ three — digit random numbers :
$158, 092, 411, 745, 009, 724, 674, 550, 716, 359, 419, 969, 200, 458, 384, 019, 676, 631,$
$390, 557, 299, 786, 706, 206, 729, 344, 543, 309, 227, 483, 741 766,$
$027, 070, 648, 956, 238, 912, 480, 558.$
(Use the first $14$ random numbers for $FY$, next $14$ random numbers for $SY$ and remaining random numbers for $TY$)
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Q 235 Mark Each5 Marks
Draw a random sample of $7$ Income tax files without replacement from a population of $5000$ Income tax files for scrutiny.
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