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 hur…

Question

asked Oct 19, 2021 157k views

1 Answer

Jelle Vergeer · Answer 1 · 2021-10-25T20:00:58+0000

Answer:

$4.9^(\circ)C$

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:

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