Question

The mean temperature for the first 7 days in January was 6 °C.

The temperature on the 8th day was -3 °C.

What is the mean temperature for the first 8 days in January? please hurry i need the answer real quick thx

Answer 1

Answer:

$4.9^{\circ}C$

Step-by-step explanation:

In order to find the mean temperature for the first 8 days of January, we have to calculate the weighted average.

We have the following data:

- The mean temperature for the first 7 days was 6 °C. this means that we have

$T_1 = 6^{\circ}C$

with a weight of $w_1 = 7$ (7 days)

- The temperature on the 8th day was -3 °C, this means that we have

$T_2=-3^{\circ}C$

with a weight of $w_2=1$ (1 day only)

So we can calculate the mean temperature using the weighted average, so we have:

$T_{avg}=\frac{T_1 w_1 + T_2 w_2}{w_1+w_2}=\frac{(6)(7)+(-3)(1)}{7+1}=4.9^{\circ}C$