Question

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

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 .
Of the people who prefer hot coffee, the relative frequency of them preferring a latte is .
The type of coffee that has the highest percentage of people who prefer it cold is .

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

1)

0.32

2)

0.22

3)

Cappuccino

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 )