Mean  and standard deviation of 100 observations were found to be 40 and 10 respectively. If at the time of calculation two observations were wrongly taken as 30 and 70 in place of 3 and 27 respectively. Find the correct standard deviation.

Explanation

To solve the problem step by step, we will follow the calculations as described in the video transcript.

### Step 1: Understand the Given Information
We have the following information:
- Mean (x̄) = 40
- Standard Deviation (σ) = 10
- Number of observations (n) = 100
- Wrong observations taken: 30 and 70
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