Question

the eye color for students in a statistics class was recorded. the relative frequencies for each color are listed in the table below. which of the following is the missing value? 0.27 0.30 0.37 0.50

Explanation:

Step1: Recall the property of relative frequencies

The sum of all relative frequencies is \(1\).

Step2: Set up the equation

Let the relative frequency of blue - eyed students be \(x\). Then \(x + 0.33+0.20 + 0.17+0.03=1\).

Step3: Simplify the right - hand side of the equation

First, add the known relative frequencies: \(0.33+0.20 + 0.17+0.03=(0.33 + 0.17)+(0.20+0.03)=0.50+0.23 = 0.73\).

Step4: Solve for \(x\)

We have the equation \(x+0.73 = 1\). Subtract \(0.73\) from both sides: \(x=1 - 0.73\).

Answer:

\(0.27\)