Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

measurement data is given in the table. suppose you draw a line plot th…

Question

measurement data is given in the table. suppose you draw a line plot that represents the data. choose an option from each dropdown menu to complete the sentences about the line plot. the line plot has dots plotted on it. the least value on the line plot is. the height of centimeters occurs most often on the line plot. heights of books (cm) 16 1/3 15 2/3 15 1/6 14 1/3 16 2/3 16 1/3 14 5/6

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.