Explanation:

- Initially, the average of 45 results is given as 27.

- Therefore, the total sum of those results is \( 45 \times 27 = 1215 \).

- There was a mistake: 39 was mistakenly recorded as 93.

- Correcting this mistake means subtracting the wrong value and adding the correct one.

- Total correction needed is \(93 - 39 = 54\).

- So, the corrected total sum is \(1215 - 54 = 1161\).

- To find the correct average, divide the corrected sum by 45.

- Correct average is \(\frac{1161}{45} \approx 25.8\).

Correct Answer: Option:1, 25.8