Question

The birth weights ( to the nearest pound) of a sample of 27 newborn babies at a certain hospital are given in the following table, along with the number of babies at each birth weight. Find the mean birth weight of these 27 babies. Round your answer to at least on decimal point

Answer 1

Given

The table,

The sample size is 27.

To find:

The mean weight of these 27 babies.

Explanation:

It is given that,

That implies,

The mean weight of 27 babies is,

$\begin{gathered} Mean=\frac{\sum_^x_if_i}{\sum_^f_i} \\ =\frac{4\times5+6\times10+7\times12}{5+10+12} \\ =\frac{20+60+84}{27} \\ =\frac{164}{27} \\ =6.07 \\ =6.1pounds \end{gathered}$

Hence, the mean weight of 27 babies is 6.1 pounds.