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4. the data represent the number of ounces of water that 25 students d …

Question

  1. the data represent the number of ounces of water that 25 students d before donating blood: 8, 8, 8, 16, 16, 16, 32, 32, 32, 32, 32, 32, 64, 64, 64, 64, 64, 64, 80, 80, 80, 80, 88, 88, 88. (lesson 1 - 3)

a. create a dot plot for the data.

Explanation:

Step1: Determine the scale

The data values are \(8,16,32,64,80,88\). So, the scale for the dot - plot will be these values.

Step2: Count the frequency of each value

  • For \(x = 8\), the frequency \(f=3\) (since there are three \(8\)s).
  • For \(x = 16\), the frequency \(f = 3\) (three \(16\)s).
  • For \(x=32\), the frequency \(f = 6\) (six \(32\)s).
  • For \(x = 64\), the frequency \(f=6\) (six \(64\)s).
  • For \(x = 80\), the frequency \(f = 4\) (four \(80\)s).
  • For \(x = 88\), the frequency \(f=3\) (three \(88\)s).

Step3: Draw the dot - plot

On a horizontal axis, mark the values \(8,16,32,64,80,88\). For each value \(x\), place \(f\) dots above the value. For example, above \(8\) place \(3\) dots, above \(16\) place \(3\) dots, above \(32\) place \(6\) dots, above \(64\) place \(6\) dots, above \(80\) place \(4\) dots and above \(88\) place \(3\) dots.

Answer:

A dot - plot with \(x\) - axis labeled as \(8,16,32,64,80,88\) and the corresponding number of dots ( \(3,3,6,6,4,3\) respectively) above each value.