Exploring Statistical Questions and Measures

What is a statistical question?

• A question that always has a yes or no answer

• A question that does not involve numbers

• A question that involves variability and cannot be answered with a single, exact number

• A question that can be answered with a single, exact number

Which of the following is a statistical question?

• What color is the basketball?

• What is the average height of professional basketball players?

• How many points did a player score in the last game?

• What is the exact height of the tallest building?

What does the range in a dataset tell us?

• The most common value in the dataset

• The difference between the highest and lowest values in the dataset

• The middle value of the dataset

• The total number of data points

What is the purpose of using statistical measures in analyzing data?

• To convert all data points to whole numbers

• To simplify the data to a single value

• To provide a comprehensive view of the data by highlighting its variability

• To eliminate outliers in the data

Which statistical measure is defined as the value that occurs most frequently in a dataset?

• Mean

• Range

• Median

• Mode

What does a dot plot help to identify in a dataset?

• The time period over which data was collected

• The errors in data collection

• The minimum and maximum values

• The complexity of the data

In the context of salaries, why is it useful to know the range?

• To find out how many people receive a salary

• To understand the disparity between the highest and lowest salaries

• To determine the exact salary of every individual

• To calculate the total sum of all salaries

What statistical measure would be most useful to determine a typical value in a skewed dataset?

• Median

• Range

• Mode

• Mean

How is the median calculated in a dataset with an even number of values?

• It is the average of all data points

• It is the value that appears most frequently

• It is the average of the two middle numbers

• It is the highest value in the dataset

Why might statistical measures not always represent actual data points?

• Because they are randomly generated

• Because they are always rounded to the nearest whole number

• Because they are theoretical concepts

• Because they can be averages or other calculations that do not correspond to specific data points