Question

Calculate AM, GM, and HM and also verify their relations among them for the following data:

X	5	15	10	30	25	20	35	40
f	18	16	20	21	22	13	12	16

Answer 1

X	f	fX	log X	f log X	\(\frac{f}{X}\)
5	18	90	0.6990	12.5820	3.6
15	16	240	1.1761	18.8176	1.0667
10	20	200	1.0000	20.0000	2.000
30	21	630	1.4771	31.0191	0.7000
25	22	550	1.3979	30.7538	0.8800
20	13	260	1.3010	16.9130	0.6500
35	12	420	1.5441	18.5292	0.3429
40	16	640	1.6021	25.6336	0.4000
	N = 138	∑fx = 3030		∑f log X = 174.2483	\(\frac{\Sigma\,f}{X}\) = 9.6396