Let the six numbers \(a_1, a_2, a_3, a_4, a_5, a_6\) be in A.P. and \(a_1+a_3=10\). If the mean of these six numbers is …

Let the six numbers \(a_1, a_2, a_3, a_4, a_5, a_6\) be in A.P. and \(a_1+a_3=10\). If the mean of these six numbers is \(\frac{19}{2}\) and their variance is \(\sigma^2\), then \(8 \sigma^2\) is equal to

[JEE Main 2023, 24 Jan (Shift 2)]