https://file.aiquickdraw.com/mathbot/file/1726438629271azznue02.jpg

The problem asks for the Mean Absolute Deviation (MAD) of the number of times a politician talks about jobs in their campaign speeches, based on the data represented in the dot plot.

### Step-by-Step Process to Find MAD:

1. **Extract Data from the Dot Plot:**
   Each dot represents a mention. From the dot plot in the image, the number of mentions of "jobs" at each value appears to be:
   - 2 mentions: 1 dot
   - 3 mentions: 1 dot
   - 4 mentions: 2 dots
   - 5 mentions: 3 dots
   - 6 mentions: 3 dots
   - 7 mentions: 2 dots
   - 9 mentions: 1 dot

2. **Find the Mean (Average) of the Data:**
   To compute the mean, sum the total mentions and divide by the number of data points.

   Total number of mentions = \(2(1) + 3(1) + 4(2) + 5(3) + 6(3) + 7(2) + 9(1) = 2 + 3 + 8 + 15 + 18 + 14 + 9 = 69\)

   Number of data points = \(1 + 1 + 2 + 3 + 3 + 2 + 1 = 13\)

   Mean = \(\frac{69}{13} \approx 5.31\)

3. **Find the Absolute Deviations:**
   Calculate the absolute deviations from the mean for each data point and then the average of these deviations.
   - For 2 mentions: \(|2 - 5.31| = 3.31\)
   - For 3 mentions: \(|3 - 5.31| = 2.31\)
   - For 4 mentions: \(|4 - 5.31| = 1.31\)
   - For 5 mentions: \(|5 - 5.31| = 0.31\)
   - For 6 mentions: \(|6 - 5.31| = 0.69\)
   - For 7 mentions: \(|7 - 5.31| = 1.69\)
   - For 9 mentions: \(|9 - 5.31| = 3.69\)

4. **Compute the Weighted Average of the Absolute Deviations:**
   Multiply each absolute deviation by the number of times it occurs and sum the results:
   - \(3.31(1) + 2.31(1) + 1.31(2) + 0.31(3) + 0.69(3) + 1.69(2) + 3.69(1)\)
   - = \(3.31 + 2.31 + 2.62 + 0.93 + 2.07 + 3.38 + 3.69 = 18.31\)

   Divide by the total number of data points (13):
   - MAD = \(\frac{18.31}{13} \approx 1.41\)

The closest option is **A. 1.1 mentions**.

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Would you like further details on any step? Here are some related questions to practice:

1. What is the standard deviation of the same data?
2. How does MAD differ from standard deviation in interpretation?
3. How would removing the largest outlier (9 mentions) affect the MAD?
4. What is the mode of the data in this dot plot?
5. How would you find the range of the data set?

**Tip:** MAD helps to understand how spread out the data is from the mean but is less sensitive to outliers compared to standard deviation.

A reporter counts the number of times a politician talks about jobs in their campaign speeches. What is the MAD of the data represented in the dot plot?

Learn how to calculate the Mean Absolute Deviation (MAD) of a politician's campaign mentions about jobs, using a dot plot. This problem covers key statistical concepts like mean and absolute deviation, suitable for students in Grades 6-8.

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