Question

Construct a Frequency Distribution for Weight measurement for the given data. Choose a convenient class, class width and determine their frequencies and relative frequencies. Write a short note describing your frequency distribution table.

WEIGHT
54.4
80.3
59.5
85.5
83.1
95.1
64.1
71.3
75.3
91.7
89.9
99.8
84.1
83.3
99.4
77.5
83.0
84.5
65.3
84.8
98.2
81.4
105.5
123.9
65.3
95.8
46.3
48.5
60.8
105.1
101.8
79.2
76.6
107.4
74.6
63.4
62.4
63.6
52.1
90.3
69.1
79.1
74.2
90.7
86.5
91.1
69.8
53.5
67.0
97.5
70.5
103.6
75.6
67.4
118.8
89.5
86.5
85.7
50.4
84.4
74.1
69.1
64.6
105.8
68.1
104.8
62.2
88.4
100.4
69.6
96.8
78.4
110.2
96.4
93.5
57.8
102.6
90.0
70.6
119.8
65.8
79.8
103.9
50.3
80.7
87.4
80.3
109.1
56.7
89.1
74.7
64.9
79.0
60.4
70.5
64.2
78.5
70.9
75.9
50.4
112.8
93.7
95.6
69.9
78.8
59.7
56.8
64.8
110.5
81.8
69.6
65.6
108.8
91.3
81.7
89.2
73.1
87.1
66.9
83.2
71.5
106.0
68.4
55.2
91.5
93.3
116.0
56.5
100.2
75.5
72.7
84.4
90.2
94.8
92.0
56.7
89.7
97.0
67.6
64.6
64.5
58.4
89.2
86.9
88.3
94.7
144.9
71.7
88.3
48.3
100.4
74.5
73.1
63.9
68.5
72.8
75.2
75.3
92.5
82.6
71.7
56.8
56.7
115.3
60.1
65.3
67.8
71.6
73.1
66.5
85.9
114.9
81.4
72.1
88.6
84.6
94.6
99.5
83.9
67.6
54.5
73.0
72.8
85.0
81.3
98.7
67.3
96.1
122.7
55.6
89.1
58.5
126.4
78.2
86.2
89.7
89.9
103.7
90.3
54.1
62.0
76.1
86.3
46.9
86.8
79.1
70.4
91.5
83.0
64.0
95.3
72.2
61.0
104.4
98.6
92.8
76.5
83.8
81.5
95.3
90.4
90.6
83.6
52.6
61.7
90.5
96.2
57.7
72.6
79.1
51.8
72.3
57.8
64.0
89.8
71.7
87.8
77.2
77.2
48.0
73.1
140.1
97.9
115.5
94.5
92.2
84.8
84.5
71.4
96.9
60.5
73.5
59.6
127.8
81.0
66.2
61.5
66.6
126.0
132.1
108.3
96.2
75.9
81.3
85.9
57.2
63.7
90.2
116.2
101.3
102.6
67.1
105.3
78.7
62.7
77.8
39.0
92.8
45.2
74.0
56.4
91.4
108.2
150.4
138.9
56.3
103.2
87.8
64.8
62.1
133.3
55.4
86.2
125.7
43.3
68.8
127.5
77.2
98.9
63.4

Answer 1

Σf=300

class width = 10  

class interval	frequency	relative frequency=fi/N	cumulative frequency
39-48	6	0.0200	6
49-58	27	0.0900	33
59-68	48	0.1600	81
69-78	56	0.1867	137
79-88	55	0.1833	192
89-98	55	0.1833	247
99-108	26	0.0867	273
109-118	12	0.0400	285
119-128	9	0.0300	294
129-138	2	0.0067	296
139-148	3	0.0100	299
149-158	1	0.003333	300

Data is approximately normally distributed