Which of these statements is FALSE?


A.)
A data set is a characteristic of an individual member of the population that can be measured.

B.)
The distribution describes what values the variables take and how often they take those values.

C.)
The distribution can be summarized by a frequency table.

D.)
A data set is a list of numbers that is associated with a given context.

To determine which of these statements is false, let's analyze each one:

### Statement Analysis:

**A.) A data set is a characteristic of an individual member of the population that can be measured.**

- This statement is **false**. A characteristic of an individual member of the population is actually called a **variable**, not a data set. A data set consists of multiple values (data points) that are collected for one or more variables.

**B.) The distribution describes what values the variables take and how often they take those values.**

- This statement is **true**. The distribution of a variable provides information about all the values that the variable takes and the frequency (or probability) of each value.

**C.) The distribution can be summarized by a frequency table.**

- This statement is **true**. A frequency table is one way to summarize the distribution of a variable by listing each value and the number of times it occurs.

**D.) A data set is a list of numbers that is associated with a given context.**

- This statement is **true**. A data set typically consists of a collection of numbers (data points) that are gathered in a specific context, such as measurements from a population or a sample.

### Conclusion:

The **false** statement is:

**A.) A data set is a characteristic of an individual member of the population that can be measured.**  
This is because the term "data set" refers to a collection of data points, not a single characteristic or variable of an individual member.

Would you like more details or have any questions?

### Related Questions:

1. What is the difference between a data set and a variable?
2. How can the distribution of a data set be visually represented?
3. What is a frequency table, and how is it used?
4. How do you calculate the mean and median of a data set?
5. What are some common ways to describe the shape of a distribution?

**Tip:** When analyzing data, always distinguish between variables and the actual data set to avoid confusion.

Explore the concepts of data sets and distributions in statistics by identifying a false statement among given options. Learn about the characteristics of data sets, distributions, and how to summarize distributions using frequency tables.

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