Question

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.

Answer 1

A mean is an arithmetic average of a set of observations. The increase in the mean for the second week compared to the first is 0.4.

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

$\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}$

Given the spending in the first week is $12.99, $10.50, $9.89, $6.90, and $7.58, therefore, the mean will be,

$\rm (Mean)_1 = \dfrac{\ 12.99 + \ 10.50 + \ 9.89 + \ 6.90 + \ 7.58 }{5} = \ 9.57$

Also, the spending in the second week is $2 more than the total of the first week, therefore, the mean will be

$\rm (Mean)_2 = \dfrac{\ 12.99 + \ 10.50 + \ 9.89 + \ 6.90 + \ 7.58 + \ 2}{5} = \ 9.97$

Hence, the increase in the mean for the second week compared to the first is 0.4.

Learn more about Mean:

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