QUESTION IMAGE
Question
question #14
a research firm needs to collect data on viewer preferences for local news programming in atlanta. which statistical study should be considered?
survey
observational study
experimental study
question #15
find the upper quartile for the data listed in the table.
| country | medals | country | medals |
|---|---|---|---|
| ireland | 5 | south korea | 28 |
| france | 34 | denmark | 9 |
| turkey | 5 | columbia | 8 |
| azerbaijan | 10 | belarus | 12 |
12
34
18
20
Step1: Identify the type of data - collection for question 14
To collect viewer preferences, asking them directly is best. A survey is used to gather opinions and preferences.
Step2: Organize data for question 15
First, list the medal - counts in ascending order: 5, 5, 6, 8, 9, 10, 10, 12, 28, 34. There are $n = 10$ data points.
Step3: Calculate the position of the upper quartile
The formula for the position of the upper quartile ($Q_3$) is $Q_3$ position$=\frac{3(n + 1)}{4}$. Substituting $n = 10$, we get $\frac{3\times(10 + 1)}{4}=\frac{3\times11}{4}=8.25$.
Step4: Find the upper - quartile value
The 8th value is 12 and the 9th value is 28. Using linear interpolation, $Q_3=12+(28 - 12)\times0.25=12 + 4=16$. But if we use the method of just taking the next value for non - integer positions in a simple way (since the common methods can vary slightly), we consider the value at the 9th position for a non - integer result after the formula calculation. The 9th value in the ordered list is 28.
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Question #14: Survey
Question #15: 28