https://file.aiquickdraw.com/mathbot/file/1728452931088fkvtoh7q.jpg

The problem presented in the image involves correcting the average of 174 lab readings. Here's a breakdown of the question and the steps to solve it:

**Problem:**
The average of 174 lab readings was given as 70 units. It was later found that one of the readings, 244, was wrongly typed as 70. The task is to find the correct average after this correction.

**Solution:**
1. **Current Sum of Lab Readings:**
   The current sum of all readings, based on the average of 70, can be found as:
   \[
   \text{Current sum} = 70 \times 174 = 12180
   \]
2. **Correction Needed:**
   One reading was mistakenly typed as 70 but should be 244. To correct this, we need to:
   - Subtract the incorrect value (70) and
   - Add the correct value (244)
   
   So, the corrected sum becomes:
   \[
   \text{Corrected sum} = 12180 - 70 + 244 = 12354
   \]
3. **New Average:**
   Now, we calculate the new average by dividing the corrected sum by the total number of readings (174):
   \[
   \text{New average} = \frac{12354}{174} \approx 71
   \]
   Hence, the correct average is 71 units.

The answer is \( \boxed{71} \), which is the correct option (D) as indicated in the image.

---

Would you like further details or explanations? Here are 5 related questions to consider:

1. How would the average change if two readings were incorrectly recorded?
2. What happens to the average if multiple corrections need to be made?
3. How is the calculation affected by changing the total number of readings?
4. What are some methods to avoid errors like misrecording data in scientific labs?
5. How do small errors in large datasets affect overall statistics?

**Tip:** Always double-check individual data points when calculating averages, as one wrong value can significantly affect the result.

The average of 174 lab readings was 70 units. Later on, it was found that a reading 244 was wrongly typed as 70. Find the correct average.

Learn how to correct the average of 174 lab readings after identifying a typo in one reading. The original average was 70, but one value should have been 244. Follow this step-by-step solution suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation