Match List-I with List-II
| List-I | List-II |
|---|---|
| (A) \( f(x) = |x| \) | (I) Not differentiable at \( x = -2 \) only |
| (B) \( f(x) = |x + 2| \) | (II) Not differentiable at \( x = 0 \) only |
| (C) \( f(x) = |x^2 - 4| \) | (III) Not differentiable at \( x = 2 \) only |
| (D) \( f(x) = |x - 2| \) | (IV) Not differentiable at \( x = 2, -2 \) only |
Choose the correct answer from the options given below:
For a statistical data \( x_1, x_2, \dots, x_{10} \) of 10 values, a student obtained the mean as 5.5 and \[ \sum_{i=1}^{10} x_i^2 = 371. \] He later found that he had noted two values in the data incorrectly as 4 and 5, instead of the correct values 6 and 8, respectively.
The variance of the corrected data is: