Question

The frequency distribution shows the lengths, in inches, of available baseball bats at a batting cage.



What is the mean of the frequency distribution?

Baseball bat length: 29 30 21 32 34
f: 3 3 2 6 4

Answer 1

mean of the frequency distribution = 31.5

Step-by-step explanation:

Baseball bat length:   f         Length * f

29                                3            87  

30                                3            90

31                                 2            62

32                                 6           192

34                                4            136

                               18                567

mean of the frequency distribution = 567 / 18

= 31.5

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Answer 2

Mean=30.39

Step-by-step explanation:

Baseball bat length(xi):29 30 21 32 34

frequency (f):                3    3   2   6 4

$f_ix_i$               87  90 42 192  136

$\sum f_ix_i=87+90+42+192+136=547$

Direct method

$Mean(\bar x)=\frac{\sum f_ix_i}{\sum f_i}$

$\sum f_i=3+3+2+6+4=18$

Substitute the values in the formula

$Mean(\bar x)=\frac{547}{18}$

$Mean(\bar x)=30.39$

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