How is the annual mean temperature typically calculated from daily mean temperatures recorded over a year?

• A. Multiply all daily mean temperatures for the year and divide by the number of days: $\overline{T}=\frac{\prod _{i=1}{T}_i}{n}$
• B. Add all daily mean temperatures for the year and divide by the number of days: $\overline{T}=\frac{\sum _{i=1}{T}_i}{n}$
• C. Add the daily maximum and minimum temperatures for each day and divide by 2, then stop (no averaging over the year): $\overline{T}=\frac{T_{max}+T_{min}}{2}$
• D. Find the highest daily mean temperature and subtract the lowest daily mean temperature: $\overline{T}=T_{max}-T_{min}$

Answer: (B)

Verified step by step guidance

1. Understand that the annual mean temperature is a measure of the average temperature over all days in a year.
2. Collect the daily mean temperatures for each day of the year, denoted as \(T_1, T_2, \ldots, T_n\), where \(n\) is the total number of days (usually 365 or 366).
3. Sum all the daily mean temperatures together: \(\sum_{i=1}^{n} T_i\).
4. Divide the total sum by the number of days \(n\) to find the average: \(\overline{T} = \frac{\sum_{i=1}^{n} T_i}{n}\).
5. This formula gives the annual mean temperature by averaging the daily means over the entire year.