Question

the table below summarizes the birth weights (to the nearest pound) of a sample of 34 newborn babies. find the mean birth weight of these 34 babies. round your answer to the nearest tenth.

birth weight of each (in pounds)	5	6	7	8

Explanation:

Step1: Calculate the sum of the products of weights and their frequencies

\[

$$\begin{align*} &(5\times3)+(6\times9)+(7\times14)+(8\times8)\\ =&15 + 54+98 + 64\\ =&231 \end{align*}$$

\]

Step2: Calculate the mean

The total number of babies is \(3 + 9+14 + 8=34\). The mean \(\bar{x}=\frac{231}{34}\approx6.8\)

Answer:

\(6.8\) pounds