Question

Calculate arithmetic measure from the following data:

Temp.( 0C)	No. of days (f)
−40 to −30	10
−30 to −20	28
−20 to −10	30
−10 to 0	42
0 to 10	65
10 to 20	180
20 to 30	10
	$\Sigma f$ = 365

Answer 1

Temprature	Mid Value (m)	No. of Days (f)	fm
(−40) − (−30) (−30) − (−20) (−20) − (−10) (−10) − 0 0 − 10 10 − 20 20 − 30	−35 −25 −15 −5 5 15 25	10 28 30 42 65 180 10	−350 −700 −450 −210 325 2700 250
		Σf = 365	Σfm = 1565

$\overline{\mathit{X}}=\frac{\mathrm{\Sigma }fm}{\mathrm{\Sigma }f}=\frac{1565}{365}=4.29°\mathrm{C}$

Thus, the mean temperature us 4.29^oC.