Stratified Sampling: Sample Size from Greslow High

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Discussion Overview

The discussion revolves around a problem involving stratified sampling, specifically calculating the number of students sampled from Greslow High based on the total student populations of three secondary schools in Banley. The context includes mathematical reasoning related to ratios and proportions.

Discussion Character

  • Homework-related, Mathematical reasoning, Debate/contested

Main Points Raised

  • One participant presents the total number of students in each school and describes the sampling method as stratified by school.
  • Another participant expresses frustration over the lack of effort shown in the original post and emphasizes the community's expectation for participants to demonstrate their attempts before seeking help.
  • A third participant requests clarification on the problem, indicating confusion about the details provided.
  • A later reply explains the concept of proportionate sampling and calculates the expected number of students from each school in the sample, providing specific ratios and approximations for Adis College, Greslow High, and Fripp School.

Areas of Agreement / Disagreement

There is no consensus on the approach to the problem, as some participants express frustration over the original post's tone and content, while others focus on the mathematical calculations without addressing the initial concerns.

Contextual Notes

The discussion includes varying levels of understanding of the problem, with some participants seeking clarification and others providing calculations based on their interpretations of the sampling method.

alpacalrh
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There are three secondary schools in Banley.
The table shows the number of students in each of these schools.
Adis College_Greslow High_Fripp School
750 700 900 Germaine takes a sample of 50 students stratified by school.
Work out the number of students from Greslow High in the sample.
 
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Re: help

****ing answer **** heads
 
Re: help

alpacalrh said:
****ing answer **** heads

Hello,

Really? You post a thread with a completely useless title, and then post a problem with no effort shown, and now you are going to curse and demand we answer...mere minutes after originally posting?

That's not how we do things here...we are here to help you, not do your work for you. (Shake)

So, I will give you a chance to adjust that attitude, and show what you have tried, and then we can see where you are stuck and need guidance. Sound good?
 
Re: help

alpacalrh, please avoid the use of derogatory language.
But to answer your first post, is it just me that I'm not quite understanding the problem? Could you explain more clearly?
 
Re: help

Stratified sampling uses proportionate sampling...so this problem boils down to one of ratios. For example, out of the entire population of students from the 3 schools, the portion that are from Adis College is:

$$\frac{750}{750+700+900}=\frac{750}{2350}=\frac{15}{47}$$

So, the number of students in the sample of 50 from Adis College should be a rounding of:

$$\frac{15}{47}\cdot50\approx16$$

And then for Greslow High we would have:

$$\frac{14}{47}\cdot50\approx15$$

And for Fripp School:

$$\frac{18}{47}\cdot50\approx19$$
 

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