https://file.aiquickdraw.com/mathbot/file/1726153796723l2n56spu.jpg

To solve this, we need to calculate the Mean Absolute Deviation (MAD) for the data represented in the dot plot. Let's go step by step:

### Step 1: Gather the data from the dot plot
The dot plot represents the number of days several people had breakfast at home. Each dot corresponds to one person.

From the image, the frequencies of each number of days are:
- 0 days: 1 person
- 1 day: 1 person
- 2 days: 1 person
- 3 days: 1 person
- 4 days: 3 people
- 5 days: 4 people
- 6 days: 2 people
- 7 days: 1 person

### Step 2: Calculate the mean
To find the mean:
- Multiply each number of days by its frequency and sum them up:
  \[
  (0 \times 1) + (1 \times 1) + (2 \times 1) + (3 \times 1) + (4 \times 3) + (5 \times 4) + (6 \times 2) + (7 \times 1) = 0 + 1 + 2 + 3 + 12 + 20 + 12 + 7 = 57
  \]
- Divide by the total number of people (sum of frequencies):
  \[
  1 + 1 + 1 + 1 + 3 + 4 + 2 + 1 = 14
  \]
- The mean is:
  \[
  \frac{57}{14} \approx 4.07 \text{ days}
  \]

### Step 3: Calculate the absolute deviations
Now, subtract the mean from each data point and take the absolute value:
- For 0 days: \(|0 - 4.07| = 4.07\)
- For 1 day: \(|1 - 4.07| = 3.07\)
- For 2 days: \(|2 - 4.07| = 2.07\)
- For 3 days: \(|3 - 4.07| = 1.07\)
- For 4 days: \(|4 - 4.07| = 0.07\)
- For 5 days: \(|5 - 4.07| = 0.93\)
- For 6 days: \(|6 - 4.07| = 1.93\)
- For 7 days: \(|7 - 4.07| = 2.93\)

### Step 4: Multiply each absolute deviation by the frequency and sum them up
\[
(4.07 \times 1) + (3.07 \times 1) + (2.07 \times 1) + (1.07 \times 1) + (0.07 \times 3) + (0.93 \times 4) + (1.93 \times 2) + (2.93 \times 1) 
\]
\[
= 4.07 + 3.07 + 2.07 + 1.07 + 0.21 + 3.72 + 3.86 + 2.93 = 20.99
\]

### Step 5: Divide by the total number of data points
\[
\frac{20.99}{14} \approx 1.5 \text{ days}
\]

Thus, the Mean Absolute Deviation (MAD) is approximately **1.5 days**. However, none of the options match exactly, but it is closest to **Option B: 1.0 day**.

Would you like more details on any step?

### 5 Related Questions:
1. What is the importance of Mean Absolute Deviation (MAD) in data analysis?
2. How do you calculate the mean for a dot plot like this?
3. Can the MAD be greater than the range of data values?
4. How would you calculate the variance for the same data set?
5. What are some applications of MAD in real-world scenarios?

**Tip:** The MAD gives you a sense of how much the data points deviate from the mean on average, making it useful for understanding the spread of the data.

The dot plot displays the number of days several people ate breakfast at home this week. What is the MAD of the data represented in the dot plot?

This problem involves calculating the Mean Absolute Deviation (MAD) from a dot plot showing the number of days people had breakfast at home. Learn how to find the mean, absolute deviations, and determine the MAD step-by-step.

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