Statistics: Quantitative & Categorical Data

A researcher wants to estimate the average height of students in a high school. She randomly selects 50 students and measures their heights. What type of data is the height measurement?

• Categorical

• Quantitative

Which of the following statements best describes the purpose of using a random sample in statistics?

• To ensure that the sample is larger than the population

• To make inferences about the population parameters

• To avoid any kind of bias in the data collection process

• To ensure that the sample is smaller than the population

A survey is conducted to determine the favorite fruit of students in a school. The data collected is an example of which type of data?

• Quantitative

• Categorical

A company wants to know the average number of hours their employees work per week. They randomly select 30 employees and record their weekly hours. What is the population parameter they are trying to estimate?

• The total number of employees

• The average number of hours worked by all employees

• The number of employees working more than 40 hours

• The number of employees working less than 40 hours

Which of the following is an example of quantitative data?

• The colors of cars in a parking lot

• The number of books on a shelf

• The types of cuisine served in a restaurant

• The brands of smartphones owned by students

A political analyst wants to predict the outcome of an election. She surveys a random sample of 1,000 voters. What is the main reason for using a random sample in this context?

• To ensure the sample is representative of the entire population

• To increase the number of voters in the sample

• To decrease the number of voters in the sample

• To ensure only certain types of voters are included

A teacher records the grades of students in a math test. What type of data is represented by the grades?

• Categorical

• Quantitative

In a study to determine the average age of people attending a concert, a random sample of attendees is selected. What is the sample used for in this study?

• To determine the total number of attendees

• To estimate the average age of all attendees

• To find the oldest attendee

• To find the youngest attendee

Which of the following is an example of categorical data?

• The height of students in a class

• The number of pages in a book

• The types of pets owned by families

• The weight of fruits in a basket

A scientist wants to estimate the average temperature of a city in July. She collects temperature data from a random sample of days in July. What is the purpose of this random sampling?

• To ensure the sample includes only the hottest days

• To make inferences about the average temperature for the entire month

• To ensure the sample includes only the coolest days

• To find the highest temperature recorded