Relative Frequency Worksheet with Answers

Lesson 9.3: Two-Way Tables (Part II) Example A: Using the two-way table created in Example 1, calculate the relative frequency of the rows. Then, write the correlations associated with the two-way table. Chocolate No Chocolate Total Chocolate No Chocolate Total Carmel Carmel 6 12 18 No Carmel No Carmel 4 3 7 Total Total 10 15 25 To calculate the relative frequencies of the row, divide each number in the row by the total number in that row. Chocolate No Chocolate Total Caramel 6 ÷ 18 12 ÷ 18 18 ÷ 18 No Caramel 4÷7 3÷7 7÷7 Total 10 ÷ 25 15 ÷ 25 25 ÷ 25 Therefore, the relative frequencies of the rows are shown in the table below. Chocolate No Chocolate Total Caramel 0.33 0.67 1.00 No Caramel 0.57 0.43 1.00 Total 0.40 0.60 1.00 *Note: Values in the table are rounded to the nearest hundredth. The correlations associated with the two-way table are listed below.* Of those who like caramel topping, 33% like chocolate topping, and 67% do not like chocolate topping. So, those who like caramel topping tend not to like chocolate topping. Of those who do not like caramel topping, 57% like chocolate topping, and 43% do not like chocolate topping. So, those who do not like caramel topping tend to like chocolate topping. Example B: Using the two-way table created in Example 1, calculate the relative frequency of the columns. Then, write the correlations associated with the two-way table. Chocolate No Chocolate Total Chocolate No Chocolate Total Carmel Carmel 6 12 18 No Carmel No Carmel 4 3 7 Total Total 10 15 25 To calculate the relative frequencies of the columns, divide each number in the column by the total number in that column. Chocolate No Chocolate Total Caramel 6 ÷ 10 12 ÷ 15 18 ÷ 25 No Caramel 4 ÷ 10 3 ÷ 15 7 ÷ 25 Total 10 ÷ 10 15 ÷ 15 25 ÷ 25 Therefore, the relative frequencies of the columns are shown in the table below. Chocolate No Chocolate Total Caramel 0.60 0.80 0.72 No Caramel 0.40 0.20 0.28 Total 1.00 1.00 1.00 *Note: Values in the table are rounded to the nearest hundredth. The correlations associated with the two-way table are listed below.* Of those who like chocolate topping, 60% like caramel topping, and 40% do not like caramel topping. So, those who like chocolate topping tend to like caramel topping. Of those who do not like chocolate topping, 80% like caramel topping, and 20% do not like caramel topping. So, those who do not like chocolate topping tend to like caramel topping