Calculate or prove variance

A question is this type if and only if it asks to find, show, or prove the variance of a discrete uniform random variable X, possibly using summation formulas.

2 questions

AQA Further AS Paper 2 Statistics 2023 June Q2
2 The random variable \(T\) has a discrete uniform distribution and takes the values 1, 2, 3, 4 and 5 Find the variance of \(T\) Circle your answer.
\(\frac { 1 } { 5 }\)\(\frac { 4 } { 3 }\)2\(\frac { 13 } { 6 }\)
AQA Further Paper 3 Statistics 2022 June Q1
1 The random variable \(T\) follows a discrete uniform distribution and can take values \(1,2,3 , \ldots , 16\) Find the variance of \(T\) Circle your answer.
1.2518 .7521 .2521 .33