Answer:
1) The mean daily temperature is 19.75 ºC.
2) The mean daily change is 22 ºC.
Explanation:
1) The mean daily temperature ([tex]\bar T[/tex]), measured in degrees Celsius, is the average of the temperature chart, which is represented by definition of average:
[tex]\bar T = \frac{\Sigma^{N}_{i=1}T_{i}}{N}[/tex] (1)
Where:
[tex]N[/tex] - Number of registered temperatures, no unit.
[tex]T_{i}[/tex] - i-th Temperature, measured in degrees Celsius.
Now we proceed to calculate the mean daily temperature:
[tex]\bar T = \frac{13\,^{\circ}C + 11\,^{\circ}C + 14\,^{\circ}C + 16\,^{\circ}C + 19\,^{\circ}C + 25\,^{\circ}C + 33\,^{\circ}C + 29\,^{\circ}C + 25\,^{\circ}C + 20\,^{\circ}C + 17\,^{\circ}C + 15\,^{\circ}C}{12}[/tex]
[tex]\bar T = 19.75\,^{\circ}C[/tex]
The mean daily temperature is 19.75 ºC.
2) The mean daily change is the range between maximum and minimum of the data in the chart. That is:
[tex]\Delta T = T_{max}-T_{min}[/tex] (2)
If we know that [tex]T_{min} = 11\,^{\circ}C[/tex] and [tex]T_{max} = 33\,^{\circ}C[/tex], then the mean daily change is:
[tex]\Delta T = 33\,^{\circ}C - 11\,^{\circ}C[/tex]
[tex]\Delta T = 22\,^{\circ}C[/tex]
The mean daily change is 22 ºC.
