Find the variance and standard deviation of the following frequency distribution: Variable `(x_i)` , 2, 4, 6, 8, 10, 12, 14, 16 Frequency `(f_i)` , 4, 4, 5, 15, 8, 5, 4, 5

Explanation

To find the variance and standard deviation of the given frequency distribution, we will follow these steps:

### Step 1: Create a Table
We will create a table with three columns: \( x_i \) (the variable), \( f_i \) (the frequency), and \( f_i \cdot x_i \) (the product of frequency and variable).

| \( x_i \) | \( f_i \) | \( f_i \cdot x_i \) |
|-----------|-----------|----------------------|
| 2 | 4 | \( 2 \times 4 = 8 \) |
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