Question

question
you want to find the average test score of the students in every math class in 11th grade.
there are 15 math classes in 11th grade. you survey the scores of 7 math classes, and you calculate that the average test score is 83%.
which of the following represent the sample and the parameter in this scenario?
select the correct answer below:
○ sample: 7 math classes
parameter: there is no parameter in this scenario.
○ sample: 7 math classes
parameter: the average test score of 83%
○ sample: 15 math classes
parameter: there is no parameter in this scenario.
○ sample: 15 math classes
parameter: the average test score of 83%

Explanation:

• A sample is a subset of the population used for analysis. Here, the population is all 15 11th - grade math classes, and the sample is the 7 math classes surveyed.
• A parameter is a characteristic of the entire population. Since we only calculated the average for the sample (7 classes) and not for the entire population (15 classes), there is no parameter in this scenario.
• Analyzing each option:
• Option 1: Sample is 7 math classes (correct as it's the subset surveyed), and parameter: no parameter (correct as we don't have a population - level characteristic calculated).
• Option 2: The 83% is a statistic (characteristic of the sample), not a parameter.
• Option 3: The sample can't be 15 math classes as 15 is the entire population.
• Option 4: 15 is the population, and 83% is a statistic, not a parameter for the population.

Answer:

A. Sample: 7 math classes
Parameter: There is no parameter in this scenario.