Question

males and 18 females, then the proportion of men students is 22/40 and the proportion of women students is 18/40. mean and proportion are discussed in more detail in later chapters. note the words mean and average are often used interchangeably. in this book, we use the term arithmetic mean for mean. example 1.1 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. solution 1.1 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. try it 1.1 find an article online or in a newspaper or magazine that refers to a statistical study or poll. identify what each of the key terms—population, sample, parameter, statistic, variable, and data—refers to in the study mentioned in the article. does the article use the key terms correctly? example 1.2 determine what the key terms refer to in the following study. a study was conducted at a local high school to analyze the average cumulative gpas of students who graduated last year. fill in the letter of the phrase that best describes each of the items below. 1. population _ 2. statistic _ 3. parameter _ 4. sample _ 5. variable _ 6. data _ a) all students who attended the high school last year b) the cumulative gpa of one student who graduated from the high school last year c) 3.65, 2.80, 1.50, 3.90 d) a group of students who graduated from the high school last year, randomly selected e) the average cumulative gpa of students who graduated from the high school last year f) all students who graduated from the high school last year g) the average cumulative gpa of students in the study who graduated from the high school last year

Explanation:

Step1: Identify population

The population is the entire group of interest. Here, it's all students who graduated from the high - school last year, so Population = f.

Step2: Identify statistic

A statistic is a characteristic of a sample. The average cumulative GPA of students in the study (a sample) who graduated from the high - school last year is a statistic, so Statistic = g.

Step3: Identify parameter

A parameter is a characteristic of a population. The average cumulative GPA of all students who graduated from the high - school last year is a parameter, so Parameter = e.

Step4: Identify sample

A sample is a subset of the population. A group of students who graduated from the high - school last year, randomly selected, is a sample, so Sample = d.

Step5: Identify variable

A variable is a characteristic that can vary among individuals. The cumulative GPA of one student who graduated from the high - school last year is a variable, so Variable = b.

Step6: Identify data

Data are the actual values of the variable. 3.65, 2.80, 1.50, 3.90 are examples of data, so Data = c.

Answer:

1. f
2. g
3. e
4. d
5. b
6. c