Answer :
The Mean value for the given data = 12.92(approximate)
Define Mean
- In statistics, Mean is the ratio of sum of all the observations and total number of observations in a data set.
- For example, mean of 2, 6, 4, 5, 8 is: Mean = (2 + 6 + 4 + 5 + 8) / 5 = 25/5 = 5.
Given that,
[tex]x_{i}[/tex] = 8, 10, 12 , 14 , 16, 18 , 20
[tex]f_{i}[/tex] = 5 , 8 , 20, 14 , 7, 3 , 2
[tex]f_{i}[/tex] x [tex]x_{i[/tex]
i) 8 x 5 = 40
ii) 10 x 8 = 80
iii) 12 x 20 = 240
iv) 14 x 14 = 196
v) 16 x 7 = 112
vi) 18 x 3 = 54
vii) 20 x 2 = 40
[tex]Mean = \frac{sum of value of all observation}{total no of observation}[/tex]
= [tex]\frac{40 + 80 + 240 + 196 + 112 + 54 + 40}{5 + 8 + 20 + 14 + 7 + 3 +2}[/tex]
= 762/59
= 12.915
≈12.92
Hence , the value of Mean = 12.92 (approximate)
To learn more about frequency check the given link
https://brainly.com/question/21807065
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