Chapter 12.3, Problem 1MP

To determine

To find: The appropriate words to fill in the blanks and complete the given sentence.

Explanation of Solution

Given information:

Climate data sets for Oakville and Fairview cities are given as below −

  

Calculation:

Climate data sets for Oakville and Fairview cities are given as below −

  

For Oakville,

  $\begin{array}{l}\text{Arranging rainfall data in ascending order,}\\ \text{1}\text{.8 2}\text{.0 2}\text{.1 2}\text{.3 2}\text{.4 2}\text{.6 3}\text{.8 4}\text{.2 4}\text{.2 15}\text{.1}\\ \text{Mean rainfall}=\frac{2.4+4.2+1.8+15.1+2.6+2.3+2.0+4.2+3.8+2.1}{10}=4.05\\ \text{Median}=\frac{2.4+2.6}{2}=2.5\\ \text{Mode}=4.2\end{array}$

For Fairview,

  $\begin{array}{l}\text{Arranging rainfall data in ascending order,}\\ \text{1}\text{.8 2}\text{.2 2}\text{.3 3}\text{.8 4}\text{.5 4}\text{.5 4}\text{.5 5}\text{.0 5}\text{.1}\\ \text{Mean rainfall}=\frac{1.8+2.2+2.3+3.8+4.5+4.5+4.5+5.0+5.1}{9}=3.74\\ \text{Median}=4.5\\ \text{Mode}=4.5\\ \text{Range}=5.1-1.8=3.3\end{array}$

Hence, for Oakville, the mean August rainfall is $4.05$ inch, and the median August rainfall is $2.5$ inch. The mode of this data set is $4.2$ inch. The data value $15.1$ is an outlier. The measure of central tendency that best describes this data set is the median. For Fairview, the mean August rainfall is approximately $3.74$ inch, and the median August rainfall is $4.5$ inch, The range of this data set is $3.3$ inch.