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The question in the image states:

"A set of data has MAD 9 and one of the data values is 14. What can you say about the data value?"

To understand this question, let's clarify what MAD (Mean Absolute Deviation) means:

1. **Mean Absolute Deviation (MAD)**: It's a measure of the average distance between each data value and the mean of the dataset. A MAD of 9 suggests that, on average, each data point is 9 units away from the mean.

Given that one of the data values is 14, here's what we can infer:

- The value of 14 is 9 units away from the mean on average. However, without knowing the actual mean of the dataset, it's not possible to determine the exact distance of 14 from the mean.
  
**Key Points:**
- If 14 is exactly 9 units from the mean, it contributes to the MAD precisely.
- If 14 is less or more than 9 units away from the mean, it indicates that there are other values in the data set contributing to the overall MAD of 9.

Would you like more details or have any questions about this?

Here are some related questions you might find helpful:

1. What is the formula for calculating the Mean Absolute Deviation (MAD)?
2. How do outliers affect the MAD of a dataset?
3. How can the MAD help in understanding the variability of a dataset?
4. Can MAD be used to compare the spread of two different datasets?
5. What is the relationship between MAD and the standard deviation?

**Tip:** When dealing with measures of spread like MAD, consider how each data value contributes to the overall measure, and how changes in individual values affect the dataset as a whole.

A set of data has MAD 9 and one of the data values is 14. What can you say about the data value?

Explore the concept of Mean Absolute Deviation (MAD) with an example where a data value of 14 and MAD of 9 is discussed. Learn how this value relates to the dataset and what it reveals about the distribution.

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