$$ X ilde{N}(14, 0.35) $$ Find the standard deviation of $X$, correct to two decimal places - AQA - A-Level Maths Pure - Question 11 - 2022 - Paper 3

For a normally distributed variable $X ilde{N}( ext{mean}, ext{variance})$, the standard deviation ($ext{SD}$) is the square root of the variance.

In this case, the variance is given as $0.35$. Therefore, we calculate the standard deviation as follows:

$ext{SD} = ext{sqrt}(0.35)$

Now, calculating the square root:

$ext{SD} ext{ (approximately)} = 0.591607978 \approx 0.59$

Thus, the standard deviation of $X$, correct to two decimal places, is 0.59.