Question

the line plot has 8 < dots plotted on it. the greatest value on the line plot is 9 1/4 <. the height of 8 1/2 < inches occurs most often on the line plot. 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. heights of cakes (in.) 7 3/4 8 1/2 9 1/4 8 1/2 8 1/2 8 1/4 8 3/4 9 1/4

Explanation:

Step1: Identify the data values

The data values for the heights of cakes are \(7\frac{3}{4},8\frac{1}{2},9\frac{1}{4},8\frac{1}{2},8\frac{1}{4},8\frac{3}{4},9\frac{1}{4}\).

Step2: Find the mode (most - occurring value)

Count the frequency of each value. \(8\frac{1}{2}\) appears 2 times, and other values appear 1 time each. So the height that occurs most often is \(8\frac{1}{2}\) inches.

Step3: Find the maximum value

Compare the values: \(7\frac{3}{4}<8\frac{1}{4}<8\frac{1}{2}<8\frac{3}{4}<9\frac{1}{4}\). The greatest value is \(9\frac{1}{4}\).

Step4: Count the number of data - points

There are 7 data - points, so there will be 7 dots plotted on the line - plot.

Answer:

The height of \(8\frac{1}{2}\) inches occurs most often on the line plot. The greatest value on the line plot is \(9\frac{1}{4}\). The line plot has 7 dots plotted on it.