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 mode

Short answer

The mode of the length of the boat is $25$and $27$.

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 observations is $27$. Hence the mode is the length of boats that occurs the highest number of times that is the length has the highest frequency. Here we get the highest frequency of two values these are role="math" localid="1647956226531" $25$and $27$both have a frequency 3.

The result of mode length of the boat is $25$and $27$