Question

1) Calculate mean daily temperature using the data in the chart below. Give the answer to two decimal places.

2) Calculate mean daily temperature change = diurnal range using the data in the chart .

Answer 1

1) The mean daily temperature is 19.75 ºC.

2) The mean daily change is 22 ºC.

Step-by-step explanation:

1) The mean daily temperature (
`\bar T`), measured in degrees Celsius, is the average of the temperature chart, which is represented by definition of average:

`\bar T = (\Sigma^(N)_(i=1)T_(i))/(N)` (1)

Where:

`N` - Number of registered temperatures, no unit.

`T_(i)` - i-th Temperature, measured in degrees Celsius.

Now we proceed to calculate the mean daily temperature:

`\bar T = (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)`

`\bar T = 19.75\,^(\circ)C`

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:

`\Delta T = T_(max)-T_(min)` (2)

If we know that
`T_(min) = 11\,^(\circ)C` and
`T_(max) = 33\,^(\circ)C`, then the mean daily change is:

`\Delta T = 33\,^(\circ)C - 11\,^(\circ)C`

`\Delta T = 22\,^(\circ)C`

The mean daily change is 22 ºC.