Question

Use the following information to answer the next three exercises: The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest:

$$\begin{gathered} 16;17;19;20;20;21;23;24;25;25;25;26;26;27;27;27; \\ 28;29;30;32;33;33;34;35;37;39;40 \end{gathered}$$

Identify the median

Short answer

The median length of the boat is $27$

Step-by-step solution

Given information

Given data of the lengths of boats moored in a marina:

$$\begin{gathered} 16;17;19;20;20;21;23;24;25;25;25;26;26;27;27;27; \\ 28;29;30;32;33;33;34;35;37;39;40 \end{gathered}$$

Explanation

The total number of observation is $27$.

role="math" localid="1647955608392" $$\begin{gathered} \text{Median}=27+1 \\ =14 \end{gathered}$$

Hence the median is ${14}^{th}$observation of this dataset. The ${14}^{th}$observation is $27$.

The result of the median length of the boat is$27$