Find the median for the given sample data.
-The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the median of the data. $\begin{array} { l l l l l } 3.5 & 1.6 & 2.4 & 3.7 & 4.1 \ 3.9 & 1.0 & 3.6 & 4.2 & 3.4 \ 3.7 & 2.2 & 1.5 & 4.2 & 3.4 \ 2.7 & 0.4 & 3.7 & 2.0 & 3.6 \end{array}$
A) $3.50 \mathrm { in }$.
B) $2.94 \mathrm { in } .$
C) $3.40 \mathrm { in }$.
D) $3.45 \mathrm { in }$.

Question

Quizplus · Accepted Answer

To find the median, we first need to arrange the data in order from least to greatest:
$$0.4, 1.0, 1.5, 2.0, 2.2, 2.4, 2.7, 3.4, 3.4, 3.5, 3.6, 3.6, 3.7, 3.7, 3.9, 4.1, 4.2, 4.2, 4.2$$
There are 20 data points, so the median will be the average of the 10th and 11th values (counting from the smallest):
$$median = \frac{3.5+3.6}{2} = 3.55$$
The closest answer choice to 3.55 is D: 3.45 inches.

Find the Median for the Given Sample Data A) 3.50in3.50 \mathrm { in }3.50in

Find the Median for the Given Sample Data A) $3.50 \mathrm { in }$