Question

lesson 2 practice problems
1 a teacher asks their students whether they studied for a quiz, then scores the quiz. a relative frequency table displays some of the information they collected.
what does the 86% represent?
2 the accessory choices of 143 people are recorded in the table.
create a relative frequency table that could be used to show the percentages of belt wearers who wear a watch or not as well as the percentages of people without belts who wear a watch or not.

Explanation:

Step1: Calculate relative frequency for wearing a belt and watch

The formula for relative frequency is $\frac{\text{frequency}}{\text{total frequency in row}}$. For wearing a belt and watch: $\frac{62}{62 + 32}=\frac{62}{94}\approx0.66$ or $66\%$

Step2: Calculate relative frequency for wearing a belt and no watch

$\frac{32}{62+32}=\frac{32}{94}\approx0.34$ or $34\%$

Step3: Calculate relative frequency for no belt and watch

$\frac{29}{29 + 20}=\frac{29}{49}\approx0.59$ or $59\%$

Step4: Calculate relative frequency for no belt and no watch

$\frac{20}{29+20}=\frac{20}{49}\approx0.41$ or $41\%$

Answer:

	wearing a watch	no watch
no belt	$59\%$	$41\%$