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}= (\Sigma fx)/(\Sigma f) \\ \\ = ((27*2)+(28*5)+(31*3)+(33*1)+(34*4))/(2+5+3+1+4) \\ \\ = (54+140+93+33+136)/(15) = (456)/(15) =30.4`