Answer :
Answer:
-14°C
Step-by-step explanation:
Given that,
The mean temperature for the first 4 days in January was -4°C.
The mean temperature for the first 5 days in January was -6°C.
Mean = sum of observations/no. of observations
For first 4 days,
[tex]-4=\dfrac{S_4}{4}\\\\S_4=-16\ ...(1)[/tex]
For first 5 days,
[tex]-6=\dfrac{S_4+T}{5}\\\\S_4+T=-30\ ..(2)[/tex]
Let the temperature on 5th day is T. So,
Put S₄ = -16 in equation (2).
-16 + T = -30
T = -30+16
T = -14°C
So, the temperature on the 5th day is -14°C.