If `sum_(i=1)^9 (x_i-5)=9 and sum_(i=1)^9 (x_i-5)^2=45` then the standard deviation of the 9 items `x_1,x_2,.....,x_9` is

Options

A. 3
B. 9
C. 4
D. 2

Explanation

To find the standard deviation of the 9 items \( x_1, x_2, \ldots, x_9 \) given the conditions:

1. \( \sum_{i=1}^{9} (x_i - 5) = 9 \)
2. \( \sum_{i=1}^{9} (x_i - 5)^2 = 45 \)

We can follow these steps:

### Step 1: Understand the given information
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