CBSE BOARD XII, asked by sunil149838, 1 month ago

2. Find the G.M. for the following frequency distribution: X 2 4 6. 8 10 12 Y 5 7 15 4 2​

Answers

Answered by joyrajghos2607
0

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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