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Winston has just gone grocery shopping. The mean cost for each item in his bag was $2.71. He bought a total of 9 items, and the prices of 8 of those items are listed below: $2.01,$2.20,$2.68,$3.59,$3.12,$1.64,$1.75,$3.46 Determine the price of the 9th item in his bag.

Answer :

The cost of the 9th item is  $3.94

Since the mean cost for the 9 items in his bag was $2.71. Then, the total cost will be: = 9 × $2.71 = $24.39

In order to get the price of the 9th item, we have to calculate the price of all the 8 items given which will be:

$2.01 + $2.20 + $2.68 + $3.59 + $3.12 + $1.64, + $1.75 + $3.46 = $20.45

Therefore, the cost of the 9th item will be:

= $24.39 - $20.45

= $3.94

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