Winston has just received his monthly credit card statement. He placed 7 charges on his card in the last month with a mean of $34.00 per charge. He knows that 6 of the charges were as follows: $33.78,$34.24,$35.59,$29.88,$36.58,$26.78 Determine the amount of the 7th charge.

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Answer:

$41.15

Step-by-step explanation:

Given That :

Data for 6 charges :

$33.78,$34.24,$35.59,$29.88,$36.58,$26.78

Total number of charges = 7

Mean value for the 7 charges = $34.00

Amount of the 7th charge :

Let amount = c

(33.78 + 34.24 + 35.59 + 29.88 + 36.58 + 26.78 + c) / 7 = 34.00

= (196.85 + c) / 7 = 34

196.85 + c = 34 * 7

196.85 + c = 238

c = 238 - 196.85

c = $41.15

The amount of the 7th charge is $41.15

Given That :

Data for 6 charges: $33.78, $34.24, $35.59, $29.88, $36.58, $26.78.

Total number of charges = 7

Mean value for the 7 charges = $34.00

Amount of the 7th charge :

Let amount = c

So,

[tex]\frac{\left(33.78+34.24+35.59+29.88+36.58+26.78+c\right)}{7}=34.00\\\frac{(196.85+c)}{7} = 34\\196.85 + c = 34 * 7\\196.85 + c = 238\\c = 238 - 196.85\\c = $41.15[/tex]

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