measurement data is given in the table. suppose you draw a line plot that represents the data. choose an…

Explanation:

Step1: Count data points

There are 8 data - points in the table. So, the number of dots on the line plot is equal to the number of data - points.

Step2: Find the least value

Compare all the values: $14\frac{1}{3},14\frac{5}{6},15\frac{1}{6},15\frac{2}{3},16\frac{1}{3},16\frac{1}{3},16\frac{2}{3}$. Convert them to improper fractions for easier comparison: $14\frac{1}{3}=\frac{43}{3}$, $14\frac{5}{6}=\frac{89}{6}$, $15\frac{1}{6}=\frac{91}{6}$, $15\frac{2}{3}=\frac{47}{3}$, $16\frac{1}{3}=\frac{49}{3}$, $16\frac{2}{3}=\frac{50}{3}$. After comparing, we find that $14\frac{1}{3}$ is the least.

Step3: Find the mode

The mode is the value that appears most often. The value $16\frac{1}{3}$ appears twice while other values appear once. So, $16\frac{1}{3}$ is the mode.

Answer:

The line plot has 8 dots plotted on it. The least value on the line plot is $14\frac{1}{3}$. The height of $16\frac{1}{3}$ centimeters occurs most often on the line plot.