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.

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$

Respuesta :

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.

The increase in the mean for the second week compared to the first with the given parameters is; $0.40

What is the average increase?

Let us first find the mean of the lunch costs for the first week;

Mean for first week = ($12.99 + $10.50 + $9.89 + $6.90 + $7.58)/5 = $9.572

We are told that he spends a total of $2 more on lunch in the second week.  

Second week total = $12.99 + $10.50 + $9.89 + $6.90 + $7.58 + $2 = $49.86.

Mean of second week = 49.86/5 = $9.972

The increase in the mean for the second week compared to the first is;

9.972 - 9.572 = $0.40

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