Tugas Statistik 2

DISTRIBUSI DATA KELOMPOK

Distribusi Data Kelompok

86	50	78	66	80
79	80	77	81	68
95	66	60	84	79
84	96	87	72	73
41	80	40	63	72
76	68	82	59	73
87	79	77	76	72
74	73	87	52	63
74	72	76	57	59
56	73	82	78	76

n          = 50

log 50  = 1.69897

1.      Urutkan data dari yang terkecil sampai yang terbesar

40	41	50	52	56	57	59	59	60	63
63	66	66	68	68	72	72	72	72	73
73	73	73	74	74	76	76	76	76	77
77	78	78	79	79	79	80	80	80	81
82	82	84	84	86	87	87	87	95	96

Penyelesaian    :

1. Data terkecil  = 40

Data terbesar = 96

2. r = 96 – 40

= 56

3. K = 1 + 3.3 log n

= 1 + 3.3 log 50

= 1 + 3.3 . 1.69897

= 1 + 5.606601

=6.606601 = 6~7

4. I   = r / K

= 56 / 6.606601

= 8.47

= 9

5. Batas data terendah

36 – 44

45 – 53

54 – 62

63 – 71

72 – 80

81 – 89

90 – 98

6. Distribusi frekuensi

K	Tally	f	Titik Tengah	Baris Nyata	f	%
90 – 98	II	2	94	98.5	50	100
81 – 89	IIIII IIII	9	85	89.5	48	96
72 – 80	IIIII IIIII IIIII IIIII IIII	24	76	80.5	39	78
63 – 71	IIIII I	6	67	71.5	15	30
54 – 62	IIIII	5	58	62.5	9	18
45 – 53	II	2	49	53.5	4	8
36 – 44	II	2	40	44.5	2	4
				35.5

7. Histogram

8. Polygon

K	Tally	f	Titik Tengah
90 – 98	II	2	94
81 – 89	IIIII IIII	9	85
72 – 80	IIIII IIIII IIIII IIIII IIII	24	76
63 – 71	IIIII I	6	67
54 – 62	IIIII	5	58
45 – 53	II	2	49
36 – 44	II	2	40

9. Ogive

K	Tally	f	Titik Tengah	%
90 – 98	II	2	94	100
81 – 89	IIIII IIII	9	85	96
72 – 80	IIIII IIIII IIIII IIIII IIII	24	76	78
63 – 71	IIIII I	6	67	30
54 – 62	IIIII	5	58	18
45 – 53	II	2	49	8
36 – 44	II	2	40	4