To find the average (arithmetic mean) of the daily high temperatures over the 5-day period, follow these steps:
1. List the daily high temperatures.
The temperatures are: [tex]\(-10^{\circ} F\)[/tex], [tex]\(-1^{\circ} F\)[/tex], [tex]\(0^{\circ} F\)[/tex], [tex]\(19^{\circ} F\)[/tex], and [tex]\(12^{\circ} F\)[/tex].
2. Calculate the sum of the temperatures.
Add up the given temperatures:
[tex]\[
-10 + (-1) + 0 + 19 + 12
\][/tex]
[tex]\[
(-10) + (-1) = -11
\][/tex]
[tex]\[
-11 + 0 = -11
\][/tex]
[tex]\[
-11 + 19 = 8
\][/tex]
[tex]\[
8 + 12 = 20
\][/tex]
The sum of the temperatures is [tex]\(20\)[/tex].
3. Determine the number of days.
There are 5 days.
4. Calculate the average temperature.
The average (arithmetic mean) is the sum of the temperatures divided by the number of days:
[tex]\[
\text{Average temperature} = \frac{\text{Sum of temperatures}}{\text{Number of days}} = \frac{20}{5} = 4.0
\][/tex]
Thus, the average (arithmetic mean) of the daily high temperatures over the 5-day period is [tex]\(4.0^{\circ} F\)[/tex].
