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The problem presented states that:

- The average of 165 lab readings was initially 61 units.
- It was later discovered that a reading of 226 was mistakenly recorded as 61.

We need to find the correct average after correcting the mistake.

### Step-by-step solution:

1. **Sum of all readings (with the error):**
   \[
   \text{Sum} = \text{Average} \times \text{Number of readings} = 61 \times 165 = 10065
   \]
   
2. **Correct the error:**
   - The reading was recorded as 61 but should have been 226. 
   - So, the sum with the correction will be:
     \[
     \text{Corrected sum} = 10065 - 61 + 226 = 10230
     \]

3. **Calculate the correct average:**
   \[
   \text{Correct average} = \frac{\text{Corrected sum}}{\text{Number of readings}} = \frac{10230}{165} = 62
   \]

Thus, the correct average is **62**, which matches the correct answer: **(D) 62**.

Would you like any more details or have questions on any of the steps?

Here are 5 related questions for practice:
1. What would the average be if two errors like this were found?
2. How does an increase in the number of readings affect the average?
3. What is the impact of a higher incorrect reading on the average?
4. How would you calculate the median of these readings if given more details?
5. If the wrong number was 226 and the correction was smaller, what would happen to the average?

**Tip:** Always double-check input data when calculating averages, as a small error in one number can significantly change the result.

The average of 165 lab readings was 61 units. Later on, it was found that a reading of 226 was wrongly typed as 61. Find the correct average.

Solve a problem involving the correction of lab readings where an error was found. The average of 165 readings initially calculated as 61 units changes after correcting a mistake. Learn the step-by-step process of finding the new average.

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