Question
In which scenario is stratified sampling most suitable?
Solution
Explanation: Stratified sampling is ideal when a population is divided into distinct subgroups (strata) with different characteristics. This method ensures that each subgroup is proportionately represented in the sample, making it highly effective for heterogeneous populations. For example, in a survey studying income levels across various demographics, stratified sampling ensures that all income brackets are included proportionately, leading to more precise and reliable insights. It reduces variability in the results compared to simple random sampling. Option A: Stratified sampling is unnecessary for homogeneous populations as simple random sampling suffices. Option C: While stratified sampling is efficient, its primary advantage lies in representation, not speed. Other sampling methods may be quicker. Option D: Sampling size exceeding the population is illogical and does not apply to any valid sampling method. Option E: When only a single characteristic is of interest, simple random sampling is usually adequate. Stratified sampling is designed for analyzing multiple subgroups.
- A furniture set was purchased for Rs. 850 and fixed with an additional Rs. 450. It was then tagged 40% above the cost but later sold at a 15% loss. What is...
A watch is purchased for Rs. 4200 and Rs. 300 is spent on its repair. The watch is then marked 20% above its effective cost price and then sold for Rs....
Article ‘P’, if sold at a profit of 20% earns a profit of Rs. 400. If article ‘P’ is marked 50% above its cost price and then sold after offerin...
The selling price of y items is equal to the cost price of 720 items. If the profit made is 60%, then find the value of y.
Marked price of an article is Rs.260 more than its cost price. If profit earned is equal to the discount given then find the profit earned?
A shopkeeper sold an article after giving a discount of 23% and made a profit of Rs.26. Find the difference between the marked price and selling price o...
A seller marks up the price of an article by 35% and then gives a discount of 20%. What is the profit if the marked price of the article is ₹810?
Each of the articles is marked 80% above its cost price and a 30% discount was given on it while selling. The selling price of article A is Rs. 126 less...
Cost price of an article is Rs X and marked price is 400% more than cost price. To gain profit of 100%, what percent of discount should be offered on th...
The sale price of an item is set at 30% above the cost price. After giving a 10% discount on the marked price, what is the merchant’s profit percentag...
