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this frequency distribution shows the lengths, in inches, of available …

Question

this frequency distribution shows the lengths, in inches, of available baseball bats at a batting cage. what is the mean of the frequency distribution? 32.4 31.5 31.2 32.2

Explanation:

Step1: Calculate the sum of the products of lengths and frequencies

$(29\times3)+(30\times3)+(31\times2)+(32\times6)+(34\times4)=87 + 90+62 + 192+136 = 375+136=511$

Step2: Calculate the total frequency

$3 + 3+2+6+4=18$

Step3: Calculate the mean

$\frac{511}{18}\approx31.2$

Answer:

$31.2$