Question
Which sampling technique is most suitable when a
population has distinct subgroups that should be represented proportionally?Solution
Stratified sampling is ideal when a population includes distinct subgroups (or strata) that the analyst wants to represent proportionally. In this approach, the population is divided into strata based on shared characteristics, such as age, gender, or location. Samples are then randomly selected from each stratum in proportions that reflect the overall population composition. This method reduces sampling error and ensures that each subgroup is represented, which is critical when the characteristics of each subgroup may influence the research results, making stratified sampling especially valuable for studies aiming for diversity or representativeness. The other options are incorrect because: β’ Option 1 (simple random sampling) does not guarantee subgroup representation, as it draws randomly without stratification. β’ Option 2 (systematic sampling) may miss certain subgroups if not structured to account for strata. β’ Option 4 (cluster sampling) is more suited for geographic-based groupings rather than specific characteristics. β’ Option 5 (convenience sampling) lacks randomness and does not ensure any subgroup proportionality.
A recipe calls for flour, sugar, and butter in the ratio 4:2:1. If you have 600 grams of flour and decide to use only 40% of it, how much sugar and butt...
Divide Rs 2,100 among P, Q and R, so that P shall receive 3/7 as much as Q and R together, and QΒ 2/3 of what P and R together receive. Find the share ...
- If βXβ, βYβ and βZβ are in proportion in the same order and βXβ = 36 and βYβ = 54, then find the value of βZβ.
- Find the mean proportion of 7.2 and 16.2.
In a showroom, 65% of the vehicles are two-wheelers and the remaining are four-wheelers. Find the ratio of the number of wheels of two-wheelers to that ...
The ratio of two numbers 'a' and 'b' is 6:2, respectively. Whereas the ratio of 'b' and 'c' is 10:11, respectively. When 14 is added to 'a', it becomes ...
In a college, 70% of the students are boys while the rest are girls. 40% of the boys and 50% of the girls cleared the placement test. What is the ratio ...
In a box, there are some coins and rings which are either silver or gold. If 40% of the objects are rings and 50% of the coins are silver, then find out...
- Find the mean proportion between 36 and 100.
In a garden, the ratio of roses to tulips is 2:3. After planting 6 additional roses and 4 additional tulips, the ratio of roses to tulips changes to 3:4...