Questions: Solve. Sara recorded the following temperature readings in degrees Fahrenheit at 7 A.M. each morning for eight days in a row: -11°,-13°,-3°, 6°, 9°,-4°,-16°, and -23°. What was the average temperature? Round to the nearest hundredth when necessary. -7.86° F -6.12° F -4.37° F -6.87° F

Solve.

Sara recorded the following temperature readings in degrees Fahrenheit at 7 A.M. each morning for eight days in a row: -11°,-13°,-3°, 6°, 9°,-4°,-16°, and -23°. What was the average temperature? Round to the nearest hundredth when necessary.
-7.86° F
-6.12° F
-4.37° F
-6.87° F

Transcript text: Solve. Sara recorded the following temperature readings in degrees Fahrenheit at 7 A.M. each morning for eight days in a row: $-11^{\circ},-13^{\circ},-3^{\circ}, 6^{\circ}, 9^{\circ},-4^{\circ},-16^{\circ}$, and $-23^{\circ}$. What was the average temperature? Round to the nearest hundredth when necessary. $-7.86^{\circ} \mathrm{F}$ $-6.12^{\circ} \mathrm{F}$ $-4.37^{\circ} \mathrm{F}$ $-6.87^{\circ} \mathrm{F}$

Solution

Solution Steps

To find the average temperature, sum all the temperature readings and then divide by the number of readings. This will give the mean temperature over the eight days. Finally, round the result to the nearest hundredth.

Step 1: List the Temperature Readings

The temperature readings recorded over eight days are: $-11^\circ$, $-13^\circ$, $-3^\circ$, $6^\circ$, $9^\circ$, $-4^\circ$, $-16^\circ$, and $-23^\circ$.

Step 2: Calculate the Sum of the Temperatures

Add all the temperature readings together: \[ -11 + (-13) + (-3) + 6 + 9 + (-4) + (-16) + (-23) = -55 \]

Step 3: Calculate the Average Temperature

Divide the sum of the temperatures by the number of readings (8 days): \[ \text{Average Temperature} = \frac{-55}{8} = -6.875 \]

Step 4: Round the Average Temperature

Round the average temperature to the nearest hundredth: \[ -6.875 \approx -6.88 \]