Consider the following data.

−14,−14,7,0,7,−14,7

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 whether the data set is unimodal, bimodal, multimodal, or has no mode, we need to analyze the frequency of each unique number in the data set.

Given dataTo determine whether the data set is unimodal, bimodal, multimodal, or has no mode, we need to analyze the frequency of each unique number in the data set.

Given  \(-14, -14, 7, 0, 7, -14, 7\)

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

- \(-14\) appears 3 times.
- \(7\) appears 3 times.
- \(0\) appears 1 time.

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

- The mode is the number(s) that appear most frequently.
- In this case, both \(-14\) and \(7\) appear 3 times, which is the highest frequency.

**Step 3: Classify the data set based on the number of modes.**

- Since there are two modes (\(-14\) and \(7\)), the data set is **bimodal**.

**Conclusion:**
The data set is **bimodal** with the modes being \(-14\) and \(7\).

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

1. What is the difference between unimodal and multimodal distributions?
2. How do you calculate the median of a bimodal data set?
3. How would the mode change if another 0 was added to the data set?
4. Can a data set have more than two modes? What is it called?
5. How does the presence of multiple modes affect the shape of a distribution?

**Tip:** In a bimodal distribution, the data set has two peaks, which means it has two different values that occur with the highest frequency.

Consider the following data. −14,−14,7,0,7,−14,7. Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.

Analyze the data set −14, −14, 7, 0, 7, −14, 7 to determine if it's unimodal, bimodal, or multimodal. This problem focuses on identifying modes and understanding statistical concepts related to frequency distribution. Ideal for students in Grades 6-8.

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