Calculate the Daily Average: Analyzing Factory Defective Item Data

Below are the data from a factory quality control:

Over 3 days they found 4 defective items each day.

Over 2 days they found 7 defective items each day.

Over 1 day there were no defective items at all.

Over 10 days there were 18 defective items each day.

How many defective items are there on average each day?

To solve this problem, we'll calculate the average number of defective items per day using weighted averages:

• Step 1: Compute the total number of defective items.
  • 3 days × 4 defective items/day = 12 defective items
  • 2 days × 7 defective items/day = 14 defective items
  • 1 day × 0 defective items/day = 0 defective items
  • 10 days × 18 defective items/day = 180 defective items
• Step 2: Sum all defective items calculated: $12 + 14 + 0 + 180 = 206 \text{ defective items}$
• Step 3: Compute the total number of days: $3 + 2 + 1 + 10 = 16 \text{ days}$
• Step 4: Calculate the average number of defective items per day using: $\frac{206}{16} = 12.875$

Therefore, the average number of defective items per day is $12.875$.