consider the following data.

12,−6,−7,−9,4,0
Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.

To determine if the data set is unimodal, bimodal, multimodal, or has no mode, we first need to identify the frequency of each number in the set. The data set is:

\[ 12, -6, -7, -9, 4, 0 \]

### Step 1: Count the frequency of each number.

- \( 12 \) occurs **1** time.
- \( -6 \) occurs **1** time.
- \( -7 \) occurs **1** time.
- \( -9 \) occurs **1** time.
- \( 4 \) occurs **1** time.
- \( 0 \) occurs **1** time.

### Step 2: Determine the mode(s).

The mode of a data set is the number that appears most frequently. In this case, each number appears only once.

### Conclusion:
Since no number repeats, the data set **has no mode**.

### Classification:
- The data set is classified as having **no mode**.

Would you like more details or have any other questions? Here are some related questions:

1. What is the definition of unimodal, bimodal, and multimodal?
2. How can a data set have multiple modes?
3. What are some examples of multimodal data sets?
4. How do you find the mode of a grouped data set?
5. Can a continuous data set have a mode?

**Tip:** In statistics, if no value repeats, the data set is considered to have no mode. If one value repeats more than any other, the set is unimodal.

Consider the following data. 12,−6,−7,−9,4,0. Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.

Learn how to determine if a data set is unimodal, bimodal, multimodal, or has no mode with this step-by-step solution. The data set analyzed is 12, −6, −7, −9, 4, 0. Understand key concepts in statistics and data analysis suitable for Grades 6-8.

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