Find the mean of the following distribution:
Class :
20 - 50 50 - 80 80 - 110 110 - 140 140 - 170 170 - 200
4
Frequency :
5
8
15
6
12
4
Answers
Given : distribution:
Class: 20 - 50 50 - 80 80 - 110 110 - 140 140 - 170 170 - 200
Frequency: 5 8 15 6 12 4
To Find : mean
Solution:
CLASS CLASS MEAN A= (Mean - 95)/30 f Af
20 - 50 35 -2 5 -10
50 - 80 65 -1 8 -8
80 - 110 95 0 15 0
110 - 140 125 1 6 6
140 - 170 155 2 12 24
170 - 200 185 3 4 12
50 24
Mean = 95 + 30 (24) / 50
= 95 + 14.4
= 109.4
class f Mean * f
35 5 175
65 8 520
95 15 1425
125 6 750
155 12 1860
185 4 740
50 5470
Mean = 5470/50 = 109.4
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Answer:
Step-by-step explanation:
Given : distribution:
Class: 20 - 50 50 - 80 80 - 110 110 - 140 140 - 170 170 - 200
Frequency: 5 8 15 6 12 4
To Find : mean
Solution:
CLASS CLASS MEAN A= (Mean - 95)/30 f Af
20 - 50 35 -2 5 -10
50 - 80 65 -1 8 -8
80 - 110 95 0 15 0
110 - 140 125 1 6 6
140 - 170 155 2 12 24
170 - 200 185 3 4 12
50 24
Mean = 95 + 30 (24) / 50
= 95 + 14.4
= 109.4
class f Mean * f
35 5 175
65 8 520
95 15 1425
125 6 750
155 12 1860
185 4 740
50 5470
Mean = 5470/50 = 109.4