Calculate the variance and standard deviation from the data given below: Size of item, 3.5, 4.5, 5.5, 6.5, 7.5, 8.5, 9.5 Frequency , 3, 7, 22, 60, 85, 32, 8

Explanation

To calculate the variance and standard deviation from the given data, we will follow these steps:

### Step 1: Create a Frequency Table
We will create a table with the following columns:
- \( x_i \): Size of the item
- \( f_i \): Frequency
- \( d_i \): Deviation from the mean (we will calculate this next)
- \( u_i \): Standardized deviation (calculated as \( d_i / h \), where \( h \) is the difference between consecutive \( x_i \))
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