Consider the following data.

−6,−2,0,13,−1,−10

Step 3 of 3 :  Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.

To determine the mode(s) of the given data set, we need to check for the frequency of each number. The mode is the number that appears most frequently in a data set.

Given data set:
\[
-6, -2, 0, 13, -1, -10
\]

### Step-by-Step Analysis:
1. **Frequency of each number:**
   - \(-6\) appears 1 time.
   - \(-2\) appears 1 time.
   - \(0\) appears 1 time.
   - \(13\) appears 1 time.
   - \(-1\) appears 1 time.
   - \(-10\) appears 1 time.

2. **Determine the mode:**
   - Since all numbers in the data set appear only once, there is no number that occurs more frequently than any other.

### Conclusion:
- The data set has **no mode** because no number repeats.
- Therefore, this data set is classified as having **no mode**.

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

1. What is the definition of a unimodal distribution?
2. How do you find the mode in a large data set?
3. What are the differences between unimodal, bimodal, and multimodal distributions?
4. Can a data set have more than one mode? If yes, give an example.
5. How does the presence of a mode affect the shape of a distribution?

**Tip:** When working with data, always organize it to easily identify patterns, such as the mode, by either sorting or grouping identical values together.

Determine if the data set −6,−2,0,13,−1,−10 is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.

Learn how to analyze the data set -6, -2, 0, 13, -1, -10 to determine if it has a mode. This step-by-step guide explores the concepts of unimodal, bimodal, multimodal, and mode-free distributions in statistics, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation