Question

Over winter break, Alex took a trip to Montana and recorded the temperatures for the week. The temperature for the first six days of his trip are listed below. If the average temperature for the week he was on vacation was 1.2 degrees Fahrenheit, what was the temperature for Sunday? Monday -5.3FTuesday 3.6FWednesday 6.7FThursday 0FFriday 10FSaturday -4.3FSunday ?F

Answer 1

The average or mean can be calculated by the sum of the temperatures divided by the number of measurements. So:

`\begin{gathered} A=(-5.3+3.6+6.7+0+10-4.3+x)/(7)=1.2 \\ (10.7+x)/(7)=1.2 \\ 10.7+x=7\cdot1.2=8.4 \\ 10.7+x=8.4 \\ x=8.4-10.7=-2.3 \\ x=-2.3 \end{gathered}`

So, the temperature of Sunday was -2.3°F.