At Devon's new job he spent $12.99, $10.50, $9.89, $6.90, and $7.58 on lunch the first week.In the second week, he spent $2 more in total for the 5 lunches than the first week.What is the increase in the mean for the second week compared to the first?Round the answer to the nearest penny.Enter your answer in the box.$

The correct answer is:

$0.40.

Explanation:

To find the mean of the lunch costs for the first week, we first add together all of the amounts he spent on lunch that week:

$12.99+$10.50+$9.89+$6.90+$7.58 = $47.86.

Now we divide this by the number of lunches, 5:
47.86/5 = $9.572 ≈ $9.57.

The second week he spends a total of $2 more on lunch.  Adding this to the first week's total, we have:
47.86+2 = $49.86.

To find the mean, we divide this by the number of lunches in the second week, 5:
49.86/5 = $9.972 ≈ $9.97.

The mean increased from the first week to the second week by 9.97-9.57 = $0.40.