Use direct method to calculate the standard deviation of the following distribution Size(X) 4 5 6 7 8 9 10 Frequency
6 12 15 28 20 14 5

To calculate the standard deviation of a frequency distribution using the direct method, follow these steps:

Given dataTo calculate the standard deviation of a frequency distribution using the direct method, follow these steps:

Given 

- Sizes (\(X\)): \(4, 5, 6, 7, 8, 9, 10\)
- Frequencies (\(f\)): \(6, 12, 15, 28, 20, 14, 5\)

### Step 1: Calculate the mean (\(\bar{X}\))

The formula for the mean is:

\[
\bar{X} = \frac{\sum fX}{\sum f}
\]

Where:

\[
\sum fX = (4 \times 6) + (5 \times 12) + (6 \times 15) + (7 \times 28) + (8 \times 20) + (9 \times 14) + (10

Use direct method to calculate the standard deviation of the following distribution Size(X) 4 5 6 7 8 9 10 Frequency 6 12 15 28 20 14 5

Learn how to calculate the standard deviation of a frequency distribution using the direct method. This example uses the sizes (4, 5, 6, 7, 8, 9, 10) and their corresponding frequencies (6, 12, 15, 28, 20, 14, 5). Includes step-by-step instructions to find the mean and standard deviation. Suitable for students in Grades 10-12.

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