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Example 1.1 from Statistics, 1.1 Definitions of Statistics, Probability, and Key Terms
Determine what the population, sample, parameter, statistic, variable, and data referred to in the following study.
We want to know the mean amount of extracurricular activities in which high school students participate. We randomly surveyed 100 high school students. Three of those students were in 2, 5, and 7 extracurricular activities, respectively.
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
The population is all high school students.
The sample is the 100 high school students interviewed.
The parameter is the mean amount of extracurricular activities in which all high school students participate.
The statistic is the mean amount of extracurricular activities in which the sample of high school students participate.
The variable could be the amount of extracurricular activities by one high school student. Let X = the amount of extracurricular activities by one high school student.
The data are the number of extracurricular activities in which the high school students participate. Examples of the data are 2, 5, 7.
How did it go?