Question

The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest:16 ; 17 ; 19 ; 20 ; 20 ; 21 ; 23 ; 24 ; 25 ; 25 ; 25 ; 26 ; 26 ; 26 ; 27 ; 27 ; 28 ; 29 ; 29 ; 32 ; 33 ; 33 ; 34 ; 35 ; 37 ; 39 ; 43 Calculate the mean.Round your answer to two decimal places. Number Identify the median.Enter the exact answer. Number Identify the mode.

Answer 1

Solution:

Given the following data:

The mean is expressed as

$\begin{gathered} mean=\frac{sum\text{ of variables}}{number\text{ of variables}} \\ =\frac{\sum x}{n} \end{gathered}$

Thus, we have

$\begin{gathered} mean=\frac{739}{27} \\ =27.37037037037 \\ \therefore \\ mean=27.37 \end{gathered}$

Hence, the mean is evaluated to be

$27.37\text{ \lparen2 decimal places\rparen}$