Question

This table shows information from a survey about the type of coffee people prefer and whether they like it hot or cold.

Answer 1

Answer with Step-by-step explanation:

               Regular    Mocha      Latte    Cappuccino

Hot               11         25          19         30

Cold        17          12           20          27

Of the people who prefer mocha, the relative frequency of them preferring it cold is:

=12/37       (12/(25+12)=12/37)

Of the people who prefer hot coffee, the relative frequency of them preferring a latte is :

19/85            (19/(11+25+19+30)=19/85)

The type of coffee that has the highest percentage of people who prefer it cold is:

Cappuccino    

(since percentage is calculated as number of people who prefer a particular type of coffee divided by total number of people who prefer cold coffee multiplied by 100 the denominator is same for all hence, the type for which numerator is largest has the highest percentage)

Answer 2

Answer:

1)

        0.32

2)

         0.22

3)

        Cappuccino

Step-by-step explanation:

          Regular Mocha Latte Cappuccino       Total

Hot         11            25    19              30                    85

Cold         17             12    20      27                    76

Total        28                37           39             57                   161

• Of the people who prefer mocha, the relative frequency of them preferring it cold is  calculated as:

     Frequency preferring mocha+cold/ Total preferring mocha

        = 12/37

       =0.32

• Of the people who prefer hot coffee, the relative frequency of them preferring a latte is calculated as:

     People preferring hot +latte/ Total preferring hot coffee

     =  19/85

     =  0.22

• The type of coffee that has the highest percentage of people who prefer it cold is : Cappuccino

( Since, in the row of cold coffee Cappuccino has the highest frequency )