Question

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: . Step 2: Find the total cars sold: . Step 3: Subtract the total cars sold from the total cars needed: . 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

Answer 1

Answer:

step 1

Step-by-step explanation:

I did the test

Answer 2

Hello!

The answer is: George made his first mistake in Step 1.

Why?

Getting a result of 26 cars needed means that he didn't take in consideration the next month in the mean calculation.

We have information of the number of sold cars of the first seven months, but if he wants to calculate the number of cards he needs to have a mean of 24 sold cards next months, he should take in consideration an extra month (the eighth month).

Checking the mistake:

$\frac{18 + 22 + 26 +12 + 25 +20 + 19 + x }{7}=24$

$\frac{18 + 22 + 26 +12 + 25 +20 + 19 + x }{7}=24\\x=26$

So, it proves that he made a mistake by multiplying it into 7 and instead into 8

The correct answer would be:

$\frac{18 + 22 + 26 +12 + 25 +20 + 19 + x }{8}=24\\x=50$

He needed to include the eighth month in order to calculate how many cars he should sell next months in order to have a mean of 24 cars.

Have a nice day!