Question

This list shows the weights, in pounds, of the last 16 animals that were in the veterinarian's office.10, 8, 12, 9, 40, 10, 5, 48, 9, 7, 10, 8, 9, 11, 23, 13Amy made a line plot to display these data. which statement best describes the shape of the data and Amy's line plot?

Answer 1

First of all, arrange the data in ascending order,

$5,7,8,8,9,9,9,10,10,10,11,12,13,23,40,48$

The median of the discrete data is calculated as,

$\begin{gathered} \text{Median}=\text{Avg\lbrack}\frac{N}{2}th\text{ }term\text{ }and\text{ (}\frac{N}{2}+1)\text{ }th\text{ }term\rbrack \\ \text{Median}=\text{Avg\lbrack}8th\text{ }term\text{ }and\text{ (}8+1)\text{ }th\text{ }term\rbrack \\ \text{Median}=\text{Avg\lbrack}10\text{ }and\text{ }10\rbrack \\ \text{Median}=\frac{10+10}{2} \\ \text{Median}=10 \end{gathered}$

Then the line plot of the data is given by,

Observe the trend carefully.

The data is neither symmetric nor evenly distributed, so these two options are ruled out.

The given data has a little higher frequency on the left side of the median, it concludes that the graph is slightly skewed to the right.

Therefore, the second option is the correct choice.