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In statistics, a population refers to the entire group from which data could potentially be collected, while a sample is a smaller subset of that population. Populations can be finite or infinite and include every possible data point relevant to the analysis. Samples are used because collecting data from an entire population is often impractical or costly. By taking a sample, analysts can infer characteristics of the entire population using statistical techniques. A well-chosen sample should be representative of the population, allowing for generalizations and conclusions to be drawn. Option A (A population is a subset of the sample data) is incorrect because the population encompasses all data points, while the sample is a smaller subset. Option B (Samples always contain data points, while populations may not) is incorrect because both samples and populations contain data points—populations just contain more. Option D (A sample is always larger than the population) is incorrect because samples are always smaller than the population. Option E (Samples are typically used in descriptive analysis, while populations are used in inferential analysis) is incorrect because samples are primarily used in inferential statistics to make generalizations about the population, not for descriptive analysis.
Quantity I. The perimeter of a triangle whose sides are 17 cm, 13 cm and 23 cm.
Quantity II. The perimeter of a square whose diagonal is 19 cm.
What is the rate percent per annum?
Quantity I. Sum of money becomes four times in five years at simple interest.
What is the rate percent per annum?
Quantity I. Sum of money becomes four times in five years at simple interest.
Let 0 < x < 1, Then the correct inequality is
Quantity I. The volume of a cube whose surface area is 216 cm²
Quantity II. The volume of a cuboid whose sides are 8 cm, 9 cm and 13 cm.
...A merchant earned a profit of Rs. 75 on the selling price of a sweater that cost the merchant Rs. 450.
Quantity I. The perimeter of a triangle whose sides are 17 cm, 13 cm and 23 cm.
Quantity II. The perimeter of a square whose diagonal is 19 cm.