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

`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`