2. Find the G.M. for the following frequency distribution: X 2 4 6. 8 10 12 Y 5 7 15 4 2
Answers
Answer:
Given :
X 2 4 6 8 10 12
f 5 7 15 4 2 1
To find: g.m. for the following frequency distribution
Solution:
g.m. = geometric mean
X f X^fX
f
2 5 2⁵
4 7 4⁷
6 15 6¹⁵
8 4 8⁴
10 2 10²
12 1 12¹
34
GM = \sqrt[\sum f]{\prod X^f}
∑f
∏X
f
GM = \sqrt[34]{2^5\cdot 4^7\cdot 6^{15}\cdot 8^4\cdot 10^2\cdot 12^1}
34
2
5
⋅4
7
⋅6
15
⋅8
4
⋅10
2
⋅12
1
GM = 5.109
g.m. for the given frequency distribution 5.109
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