Winston has just received his monthly credit card statement. He placed 7
charges on his card in the last month with a mean of $35.82
per charge. He knows that 6
of the charges were as follows:
$35.55,$34.88,$34.70,$35.76,$40.24,$33.19
Determine the amount of the 7
th charge.
To find the amount of the 7th charge, we can use the formula for the mean of all seven charges:
Mean = (Sum of all charges) / Number of charges
Given:
Mean = $35.82
5 charges = $35.55, $34.88, $34.70, $35.76, $40.24, $33.19
Sum of the 6 charges = $35.55 + $34.88 + $34.70 + $35.76 + $40.24 + $33.19 = $214.32
Number of charges = 6
Now we can substitute these values into the formula:
$35.82 = $214.32 + x / 7
$251.64 = $214.32 + x
x = $251.64 - $214.32
x = $37.32
Therefore, the amount of the 7th charge is $37.32.