Explanation:

To find the correct mean of the 70 items, we need to adjust for the misread values. Here's the process:

- The original total sum of the items is: 70 items × 32 mean = 2240.

- The reported values were 64 and 28, totaling 92.

- The intended correct values are 46 and 81, totaling 127.

- The adjustment needed: 127 - 92 = 35.

- Adjusted total sum: 2240 + 35 = 2275.

- The corrected mean is: 2275 / 70 ˜ 32.5.

Now, let's evaluate the options:

- Option 1: 32.5

- Option 2: 34

- Option 3: 33

- Option 4: 31

Hence, the correct mean is 32.5.