Sample QuestionsSampling methods questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
There are $30$ units in a population. If the interval for systematic sample is $5$ , find the size of the sample.
Answer: B.
View full solution →There are $100$ units in a population. Find the sampling interval to select a systematic sample of $20$ items.
Answer: A.
View full solution →In usual notations, which of the following options is correct for systematic sampling?
- ✓
$N =n k$
- B
$n= N k$
- C
$k= N n$
- D
$N =\frac{k}{n}$
Answer: A.
View full solution →Which sample is not completely random ?
Answer: C.
View full solution →Which method of sampling is used for a heterogeneous population ?
- A
- ✓
Stratified random sampling
- C
- D
Answer: B.
View full solution →The sampling interval for a systematic sample is $15$ . If the $67$ th unit is selected in the sample, state the order of the previous unit selected.
View full solution →When is it recommended to use the systematic sampling ?
What is meant by systematic sampling ?
State the methods used to decide the size of each stratum.
What is meant by stratification ?
There are 40 employees in a company. A systematic sample of size 5 is to be selected from them. Explain how would you select the sample.
Obtain a random sample of 12 mobile phone numbers without replacement for a promotional offer from a list of 100 mobile phone numbers using the following random numbers.
(Note : Use first two digits of every number.)
$153,375,263,699,157,448,687,833,940,697,260,378,269,515,778,786,143$
View full solution →50 students study in a class. Obtain a random sample of size 5 with replacement using the following random numbers.
$03,47,43,73,86,36,96,47,36,41,25,33$
View full solution →Write the advantages and disadvantages of simple random sampling.
Write the points to be considered while determining the sample size.
A fruit merchant wants to send $10$ boxes of apples out of $40$ boxes to his relatives. Obtain all possible samples using systematic sampling.
View full solution →Obtain all possible systematic samples of size $10$ from a population of size $50$ .
View full solution →Some youth are participating in cricket coaching in a club. Among them, $60$ youth are $15$ to $25$ years old and $40$ youth are $25$ to $35$ years old. Obtain a sample without replacement from this population using stratified sampling by selecting $7$ youth of age $15$ to $25$ years and $4$ of age $25$ to $35$ years.
Random numbers for $15$ to $25$ years old youth :
$40,25,80,39,19,27,18,25,79,19,58,24,25,34,22,27,21,26,29$
Random numbers for $25$ to $35$ years old youth :
$51,33,38,35,45,41,33,57,28,32,36,28$
View full solution →Three digit random number are given below. Select a $2 \%$ random sample with and without replacement from a population of size $500$ using these random numbers.$270,530,390,420,270,111,189,273,692,488,512,192,219,912,129,723$
View full solution →Write the advantages and disadvantages of systematic sampling.