Consider the following data.

11,−3,4,4,11,4,11

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

Let's determine the mode(s) of the data set:

The data set is:  
\[ 11, -3, 4, 4, 11, 4, 11 \]

### Step-by-step solution:
1. **Count the frequency of each number**:
   - \( 11 \) appears 3 times.
   - \( -3 \) appears 1 time.
   - \( 4 \) appears 3 times.

2. **Identify the number(s) with the highest frequency**:
   - Both \( 11 \) and \( 4 \) appear 3 times, which is the highest frequency.

3. **Conclusion**:
   Since there are two numbers that both appear most frequently (3 times each), this data set is **bimodal**.

   The modes are \( 11 \) and \( 4 \).

---

Do you want more details on this process or have any questions?

Here are five related questions for further exploration:
1. How would the result change if the data set had only one mode?
2. Can a data set be multimodal if more than two numbers occur with the highest frequency?
3. What is the difference between bimodal and multimodal?
4. How can you calculate the mean and median of this data set?
5. What is the effect of adding more data points on the mode?

**Tip:** When analyzing the mode, always check the frequency of every number in the data set to ensure accuracy.

Determine if the data set 11,−3,4,4,11,4,11 is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.

Explore how to determine if the data set 11, -3, 4, 4, 11, 4, 11 is unimodal, bimodal, multimodal, or has no mode. This example explains step-by-step how to find the mode(s) and categorize the data set as bimodal. Suitable for Grades 6-8 students learning data analysis in statistics.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation