Question

Find the G.M. for the following frequency distribution:

X 2 4 6 8 10 12
Y 5 7 15 4 2 1

Answer 1

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               $X^f$

2             5              2⁵

4             7              4⁷

6             15            6¹⁵

8             4              8⁴

10            2             10²

12            1              12¹

            34

GM = $\sqrt[\sum f]{\prod X^f}$

GM = $\sqrt[34]{2^5\cdot 4^7\cdot 6^{15}\cdot 8^4\cdot 10^2\cdot 12^1}$

GM = 5.109

g.m. for the  given frequency distribution 5.109

Learn More:

2. Draw an ogive for the following data Class interval 1-10 11-20 21-30

brainly.in/question/17761440

if the less than type ogive and more than type ogive intersect each ...

brainly.in/question/17495794

Answer 2

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