Question

Difficulty: MediumWeather Elements, Instruments, and Measurements

At a coastal meteorological station in Calabar, air temperature observations recorded at four specific intervals during a 24-hour cycle were 22.0C22.0^\circ\text{C}, 31.5C31.5^\circ\text{C}, 28.5C28.5^\circ\text{C}, and 24.0C24.0^\circ\text{C}. What is the mean temperature of these observations in C^\circ\text{C}?

Answer: 26.5 °C

Answer

The mean temperature computed from the four observations is 26.5C26.5^\circ\text{C}.
The mean temperature is calculated by summing all recorded values (22.0+31.5+28.5+24.0=106.0C22.0 + 31.5 + 28.5 + 24.0 = 106.0^\circ\text{C}) and dividing by the total number of observations (44), resulting in 26.5C26.5^\circ\text{C}.

Step-by-Step Solution

1
Sum all four temperature values taken across the observation periods.
The total sum is 22.0C+31.5C+28.5C+24.0C=106.0C22.0^\circ\text{C} + 31.5^\circ\text{C} + 28.5^\circ\text{C} + 24.0^\circ\text{C} = 106.0^\circ\text{C}.
Finding the arithmetic mean requires calculating the aggregate total of all recorded temperature data points.
2
Divide the calculated aggregate sum by the count of observation intervals.
106.0C4=26.5C\frac{106.0^\circ\text{C}}{4} = 26.5^\circ\text{C}.
Dividing the sum by the sample size (44) yields the average temperature across the recorded intervals.

Key Concept

Calculation of mean temperature from periodic daily observations
Estimated Time:1m 30s
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