Question

A data was collected for 50 observations on the mass of cup lump rubber as shown in Table 2. No. of subgroup n is 5.

Table 2

Sample nos.	x1	x2	x3	x4	x5
1	1.6347	1.569	1.6944	1.4673	1.6691
2	1.4314	1.3592	1.6075	1.4666	1.6109
3	1.4284	1.4871	1.4932	1.4324	1.5914
4	1.5028	1.6352	1.3841	1.2831	1.5507
5	1.5604	1.2735	1.5265	1.4363	1.6444
6	1.5955	1.5451	1.3574	1.3281	1.4194
7	1.6274	1.5064	1.8366	1.4111	1.5144
8	1.4190	1.4303	1.6637	1.4607	1.5519
9	1.3884	1.7277	1.5355	1.5176	1.3688
10	1.4039	1.6697	1.5089	1.4627	1.5222

1. Determine the relative frequency of the mass of cup lump rubber and sketch the curve.
2. Determine the cumulative relative frequency of the mass and justify on the distribution of the curve.

Answer 1

element	frequency	cumulative frequency	relative frequency	cumulative relative frequency
1.2735	1	1	0.02	0.02
1.2831	1	2	0.02	0.04
1.3281	1	3	0.02	0.06
1.3574	1	4	0.02	0.08
1.3592	1	5	0.02	0.1
1.3688	1	6	0.02	0.12
1.3841	1	7	0.02	0.14
1.3884	1	8	0.02	0.16
1.4039	1	9	0.02	0.18
1.4111	1	10	0.02	0.2
1.419	1	11	0.02	0.22
1.4194	1	12	0.02	0.24
1.4284	1	13	0.02	0.26
1.4303	1	14	0.02	0.28
1.4314	1	15	0.02	0.3
1.4324	1	16	0.02	0.32
1.4363	1	17	0.02	0.34
1.4607	1	18	0.02	0.36
1.4627	1	19	0.02	0.38
1.4666	1	20	0.02	0.4
1.4673	1	21	0.02	0.42
1.4871	1	22	0.02	0.44
1.4932	1	23	0.02	0.46
1.5028	1	24	0.02	0.48
1.5064	1	25	0.02	0.5
1.5089	1	26	0.02	0.52
1.5144	1	27	0.02	0.54
1.5176	1	28	0.02	0.56
1.5222	1	29	0.02	0.58
1.5265	1	30	0.02	0.6
1.5355	1	31	0.02	0.62
1.5451	1	32	0.02	0.64
1.5507	1	33	0.02	0.66
1.5519	1	34	0.02	0.68
1.5604	1	35	0.02	0.7
1.569	1	36	0.02	0.72
1.5914	1	37	0.02	0.74
1.5955	1	38	0.02	0.76
1.6075	1	39	0.02	0.78
1.6109	1	40	0.02	0.8
1.6274	1	41	0.02	0.82
1.6347	1	42	0.02	0.84
1.6352	1	43	0.02	0.86
1.6444	1	44	0.02	0.88
1.6637	1	45	0.02	0.9
1.6691	1	46	0.02	0.92
1.6697	1	47	0.02	0.94
1.6944	1	48	0.02	0.96
1.7277	1	49	0.02	0.98
1.8366	1	50	0.02	1