Real-World Data Analysis: Populations and Samples Quiz

A school conducted a survey of 200 students to find out their favorite subject. The entire student body consists of 1,000 students. Identify the population, sample, statistic, and parameter in this scenario.

• Population: 200 students; Sample: 100 students; Statistic: data from 100 students; Parameter: favorite subject of 1,000 students.

• Population: 1,000 students; Sample: 500 students; Statistic: data from the entire school; Parameter: total number of students surveyed.

• Population: 200 students; Sample: 1,000 students; Statistic: data from all students; Parameter: average score of 200 students.

• Population: 1,000 students; Sample: 200 students; Statistic: data from the 200 students; Parameter: true proportion of all 1,000 students.

In a city of 50,000 residents, a researcher surveys 1,500 people about their commuting habits. What is the population, sample, statistic, and parameter in this study?

• Population: 50,000 commuters; Sample: 1,500 commuters; Statistic: percentage of commuters using public transport; Parameter: percentage of all residents using public transport.

• Population: 50,000 residents; Sample: 1,500 surveyed; Statistic: average commuting time of the sample; Parameter: average commuting time of the population.

• Population: 1,500 surveyed; Sample: 50,000 residents; Statistic: total commuting distance of the sample; Parameter: total commuting distance of the population.

• Population: 1,500 residents; Sample: 50,000 surveyed; Statistic: median commuting time of the sample; Parameter: median commuting time of the population.

A company wants to know the average salary of its employees. They randomly select 100 employees from a total of 1,000. Define the population, sample, statistic, and parameter in this context.

• Population: 100 employees; Sample: 1,000 employees; Statistic: total salary of the sample; Parameter: total salary of the population.

• Population: all employees in the company; Sample: 50 employees; Statistic: median salary of the sample; Parameter: median salary of the population.

• Population: 1,000 employees; Sample: 200 employees; Statistic: average salary of the entire company; Parameter: average salary of the sample.

• Population: 1,000 employees; Sample: 100 employees; Statistic: average salary of the sample; Parameter: average salary of the population.

A health organization studies the dietary habits of teenagers by surveying 300 out of 5,000 high school students. What are the population, sample, statistic, and parameter in this research?

• Population: 5,000 high school students; Sample: 300 surveyed students; Statistic: data from the sample; Parameter: true average dietary habits of the population.

• Population: 5,000 high school students; Sample: 500 surveyed students; Statistic: data from the population; Parameter: true average dietary habits of the sample.

• Population: all teenagers; Sample: 300 high school students; Statistic: average dietary habits of the sample; Parameter: average dietary habits of all teenagers.

• Population: 300 surveyed students; Sample: 5,000 high school students; Statistic: true average dietary habits of the sample; Parameter: data from the population.

A political poll is conducted with 2,000 voters to predict the outcome of an election in a city of 100,000 voters. Identify the population, sample, statistic, and parameter involved.

• The population is 2,000 voters, the sample is 100,000 voters, the statistic is the total number of voters, and the parameter is the average age of voters.

• The population is the 2,000 voters polled, the sample is the 100,000 voters in the city, the statistic is the total votes cast, and the parameter is the number of candidates.

• The population is 100,000 voters in the city, the sample is 2,000 voters polled, the statistic is the percentage of support from the sample, and the parameter is the actual percentage of support in the population.

• The population is the entire city, the sample is the 2,000 voters, the statistic is the number of voters who participated, and the parameter is the total number of elections held.

A researcher collects data from 50 households in a neighborhood of 500 homes to analyze energy consumption. What is the population, sample, statistic, and parameter in this analysis?

• Population: 500 homes, Sample: 50 households, Statistic: average energy consumption of 50 households, Parameter: average energy consumption of 500 homes.

• Population: 500 households, Sample: 50 homes, Statistic: median energy consumption of 50 households, Parameter: median energy consumption of 500 homes.

• Population: 50 homes, Sample: 500 households, Statistic: maximum energy consumption of 50 households, Parameter: maximum energy consumption of 500 homes.

• Population: 50 households, Sample: 500 homes, Statistic: total energy consumption of 50 households, Parameter: total energy consumption of 500 homes.

In a study of 1,000 patients at a hospital, 200 are found to have high blood pressure. Determine the population, sample, statistic, and parameter in this health study.

• Population: all patients at the hospital; Sample: 1,000 patients; Statistic: 20% (200 out of 1,000); Parameter: true proportion of all patients with high blood pressure.

• Statistic: 25% (250 out of 1,000)

• Sample: 500 patients

• Population: all patients in the country

A survey of 250 employees in a company of 2,500 is conducted to assess job satisfaction. What are the population, sample, statistic, and parameter in this survey?

• Population: 250 employees; Sample: 2,500 employees; Statistic: Total job satisfaction score of the sample; Parameter: Total job satisfaction score of the population.

• Population: All job applicants; Sample: 250 employees; Statistic: Median job satisfaction score of the sample; Parameter: Median job satisfaction score of the population.

• Population: 2,500 employees; Sample: 500 employees; Statistic: Job satisfaction score of the highest-rated employee; Parameter: Job satisfaction score of the lowest-rated employee.

• Population: 2,500 employees; Sample: 250 employees; Statistic: Average job satisfaction score of the sample; Parameter: Average job satisfaction score of the population.

A marketing team surveys 400 customers out of 10,000 to understand buying preferences. Identify the population, sample, statistic, and parameter in this marketing research.

• The population is 10,000 customers, the sample is 400 customers surveyed, the statistic is the data collected from the sample, and the parameter is the true buying preference of the population.

• The population is 400 customers, the sample is 10,000 customers surveyed, the statistic is the data collected from the population, and the parameter is the true buying preference of the sample.

• The population is 10,000 customers, the sample is 400 customers surveyed, the statistic is the true buying preference of the population, and the parameter is the data collected from the sample.

• The population is 400 customers, the sample is 10,000 customers surveyed, the statistic is the true buying preference of the sample, and the parameter is the data collected from the population.

A university wants to know the average GPA of its students. They sample 300 students from a total of 15,000. Define the population, sample, statistic, and parameter in this academic study.

• Population: 300 students; Sample: 15,000 students; Statistic: average GPA of the population; Parameter: average GPA of the sample.

• Population: 15,000 students; Sample: 150 students; Statistic: average GPA of the population; Parameter: average GPA of the sample.

• Population: 15,000 students; Sample: 300 students; Statistic: average GPA of the sample; Parameter: average GPA of the population.

• Population: 300 students; Sample: 15,000 students; Statistic: total GPA of the sample; Parameter: total GPA of the population.