Question
Select all possible systematic samples of size $3$ from a population of size $12.$
✓
Answer
Here population size $(N)$ is $12$ and sample size $(n) = 3$.
So the sample interval $k = N/n = 12/3 = 4.$
Now, every 4th unit will be selected after randomly selecting the first unit from $1$ to $4.$ Thus we will get $4$ possible samples.
Thus, possible samples are:
Sample $I : 1, 5, 9$
Sample $II : 2, 6, 10$
Sample $III : 3, 7, 11$
Sample $IV : 4, 8, 12$
So the sample interval $k = N/n = 12/3 = 4.$
Now, every 4th unit will be selected after randomly selecting the first unit from $1$ to $4.$ Thus we will get $4$ possible samples.
Thus, possible samples are:
Sample $I : 1, 5, 9$
Sample $II : 2, 6, 10$
Sample $III : 3, 7, 11$
Sample $IV : 4, 8, 12$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Define primary data with an illustration.
If the sum of positive deviations of $50$ observations from their mean is $112$, find the mean deviation.
→State the type of function $f: \mathbf{N} \rightarrow \mathbf{N}, f(x)=x^{2}$
→Find the nth term of G.P. $\frac{5}{8}, \frac{5}{4}, \frac{5}{2}, 5, \ldots \ldots$ and hence obtain the 9th term.
→Expand $\left( x-\frac{}{x}\right)$
→If $\frac{n !}{2}=60$ then find value the of $n$.
→In an ungrouped data $25 \%$ of observations is less than 28 and $25 \%$ of observations is more than $32$ , find the coefficient of quartile deviation.
→If a real function is $f(x)=x+\frac{2}{x+1}, x \in R -\{-1\}$, find the value of $f(1)-f(0)$.
→The 4 th term of a G.P. $=0.0081$ and its common ratio is $0.3$. Find the first term of the G.P.
→Find the mid values of each class of the following frequency distribution :
→| Class | $0-9$ | $10-24$ | $25-49$ | $50-74$ | $75-100$ |
| Frequency | $10$ | $20$ | $30$ | $20$ | $10$ |