Find the mean deviation about the mean for the data :`x_i` 5 10 15 20 25`f_i` 7 4 6 3 5

Explanation

To find the mean deviation about the mean for the given data, we will follow these steps:

### Step 1: Create a Frequency Table
We will create a table with the values of \(x_i\) (data points), \(f_i\) (frequencies), \(x_i \cdot f_i\) (product of data points and frequencies), and \(|x_i - \bar{x}|\) (absolute deviation from the mean).

| \(x_i\) | \(f_i\) | \(x_i \cdot f_i\) |
|---------|---------|-------------------|
| 5 | 7 | \(5 \cdot 7 = 35\) |
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