To find the temperature on Sunday, we will use the information given about the average temperature over the week.

Step 1: Find the sum of temperatures from Monday to Saturday

The temperatures from Monday to Saturday are: $3, -3, -5, 0, -1, -7$

Adding these values together: $3 + (-3) + (-5) + 0 + (-1) + (-7) = 3 - 3 - 5 - 1 - 7 = -13$

The sum of temperatures from Monday to Saturday is $-13$°C.

Step 2: Use the formula for the average temperature

The formula for average temperature over a week is: $\text{Average} = \frac{\text{Sum of all temperatures}}{7}$

We know the average temperature for the week was $-3$°C. Let $x$ be the temperature on Sunday.

$\frac{-13 + x}{7} = -3$

Step 3: Solve for $x$

$-13 + x = -3 \times 7$ $-13 + x = -21$ $x = -21 + 13$ $x = -8$

The temperature on Sunday was $-8$°C.

Final Answer

The temperature on Sunday was $-8$°C.

Would you like a more detailed explanation or have any questions?

Here are some related questions to deepen your understanding:

1. How would the average change if Sunday’s temperature was different?
2. What is the total sum of temperatures for the entire week?
3. How is the average temperature affected by extreme values like -7°C and -8°C?
4. If the temperature on Thursday had been different, how would it have affected the result?
5. How do averages work in a dataset with both positive and negative values?

Tip: When working with averages, always check if you have all the values before calculating!