Question

The frequency distribution shows the lengths, in inches, of available baseball bat at a batting cage. what is the mean of the frequency distribution?
Baseball bat length| 27 28 31 33 34
F| 2 5 3 1 4

Answer 1

The mean of a frequency distribution is given by

$\bar{x}= \frac{\Sigma fx}{\Sigma f} \\ \\ = \frac{(27\times2)+(28\times5)+(31\times3)+(33\times1)+(34\times4)}{2+5+3+1+4} \\ \\ = \frac{54+140+93+33+136}{15} = \frac{456}{15} =30.4$