For two data sets, each of size 5, the variances are given to be 4 and 5 and the corresponding means are given to be 2 and 4, respectively. The variance of the combined data set is (1) `(11)/2` (2) 2 (3) `(13)/2` (4) `5/2`

Explanation

To find the variance of the combined data set from two data sets, we can follow these steps:

### Step 1: Identify the given values
- Size of each data set (n1 = n2) = 5
- Variance of the first data set (σ1²) = 4
- Variance of the second data set (σ2²) = 5
- Mean of the first data set (x̄1) = 2
- Mean of the second data set (x̄2) = 4
...