Question

the dot plot shows the survey results of 9 members of the latinx club, including elias and valeria. each member surveyed a random sample of 50 students in the school. what can valeria use instead of her survey result to make a better inference about the population? the range of the survey results the mean of the survey results the maximum value of the survey results a random survey result

Explanation:

Step1: Analyze each option

• The range of the survey results: The range only shows the spread between the maximum and minimum values. It doesn't give a central - tendency measure that can represent the population well.
• The mean of the survey results: The mean is a measure of central tendency. When we have multiple samples (here 9 samples), the mean of all the sample results (since each sample is of size \(n = 50\)) can give a better estimate of the population parameter (the number of students who speak Spanish at home in the whole school population).
• The maximum value of the survey results: The maximum value is just an extreme value in the data set and does not represent the typical value of the population.
• A random survey result: A single random survey result (even if it's not Valeria's) is just a single - sample result. A single - sample result is more likely to have sampling error compared to the mean of multiple samples.

Answer:

The mean of the survey results.