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18 February, 22:23

At Stephanie's new job, she spent $6.50, $8, $7.25, $13.50, and $9.75 on lunch the first week. In the second week, Stephanie spent a total of $10 less than the total of the first week. What is the decrease in the mean for the second week compared to the first week?

answer as a decimal rounded to the nearest hundredth.

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  1. 18 February, 22:46
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    The mean for the second week is $2 less than the first and in percentage it is 22% less.

    Step-by-step explanation:

    The mean is given by the sum of all individual values divided by the number of values. For the first week the sum is:

    sum1 = 6.5 + 8 + 7.25 + 13.5 + 9.75

    sum1 = 45

    Since she spent 10 less in the second week the sum is:

    sum2 = sum1 - 10 = 45 - 10 = 35

    The mean for each week is:

    mean1 = sum1/5 = 45/5 = 9

    mean2 = sum2/5 = 35/5 = 7

    difference = mean1 - mean2 = 9-7 = 2

    difference (%) = [2/9]*100 = 0.22*100 = 22%

    The mean for the second week is $2 less than the first and in percentage it is 22% less.
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