George sold 18, 22, 26, 12, 25, 20, and 19 cars per month over the past seven months. He followed the steps below to determine the number of cars he needs to sell in the next month to have a mean number of sales per month of 24.
Step 1: Find the total cars needed to have a mean of 24: 24 times 7 = 168.
Step 2: Find the total cars sold: 18 + 22 + 26 + 12 + 25 + 20 + 19 = 142.
Step 3: Subtract the total cars sold from the total cars needed: 168 minus 142 = 26.
Step 4: State the answer: George needs to sell 26 cars next month.
Where did George make his first mistake?
Step 1
Step 2
Step 3
Step 4
Answers
SOLUTION
TO DETERMINE
The mistake :
George sold 18, 22, 26, 12, 25, 20, and 19 cars per month over the past seven months. He followed the steps below to determine the number of cars he needs to sell in the next month to have a mean number of sales per month of 24.
Step 1: Find the total cars needed to have a mean of 24: 24 times 7 = 168.
Step 2: Find the total cars sold: 18 + 22 + 26 + 12 + 25 + 20 + 19 = 142.
Step 3: Subtract the total cars sold from the total cars needed: 168 minus 142 = 26.
Step 4: State the answer: George needs to sell 26 cars next month.
Where did George make his first mistake?
Step 1
Step 2
Step 3
Step 4
EVALUATION
Here it is given that George sold 18, 22, 26, 12, 25, 20, and 19 cars per month over the past seven months
Now he needs to sell in the next month to have a mean number of sales per month of 24.
Now the total number of months
= 7 + 1
= 8
So in order to have a mean number of sales per month of 24 , the total cars needed to have a mean of 24 : 24 times 8 = 192
So it will be 8 instead of 7
Hence George has done the mistake at first step
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