Given are the prices of a cup of coffee in dollars,
$5.75, $5.00, $6.50, $7.00, $9.00, $9.50
Find the mean absolute deviation. What inference can be drawn from the
data based on the mean absolute deviation.

The **mean absolute deviation (MAD)** is a measure of variability that shows the average distance between each data point and the mean of the dataset. It gives us an idea of how spread out the data points are.

The formula for MAD is:
\[
\text{MAD} = \frac{1}{n} \sum_{i=1}^{n} |x_i - \mu|
\]
where:
- $x_i$ are the individual data points,
- $\mu$ is the mean of the data points,
- $n$ is the number of data points.

### Step 1: Calculate the Mean
Given prices:
\[ 5.75, 5.00, 6.50, 7.00, 9.00, 9.50 \]

The mean ($\mu$) is calculated as:
\[
\mu = \frac{1}{6} (5.75 + 5.00 + 6.50 + 7.00 + 9.00 + 9.50)
\]
I'll calculate the mean first.It seems like I can’t do more advanced data analysis right now. Please try again later.

If you need further help with the mean absolute deviation or any other questions, feel free to ask!

Learn how to calculate the Mean Absolute Deviation (MAD) from given coffee prices: $5.75, $5.00, $6.50, $7.00, $9.00, $9.50. Understand the variability in prices and what the MAD indicates about the spread of data points. Suitable for Grades 9-12.

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