Question

Use the table to answer the question.
Number of Text Messages
0–200 | 201–500 | Over 500
Age
12–15 | 24 | 47 | 78
16–19 | 20 | 35 | 97
20–23 | 55 | 67 | 177
Given the data in the table about the number of text messages per day, what is the relative frequency of the people age 12–15 who had over 500 messages? Round the percentage to the nearest tenth.

Answer 1

Use the table to answer the question.

Cherries Grapes
North | 120 | 125
South | 25 | 75
Examine the data from a survey about the part of the state people are from and the fruit they prefer. If a person prefers cherries, what is the percentage chance that they are from the North? Round your answer to the nearest tenth.

Answer 2

To find the relative frequency of people age 12-15 who had over 500 messages, we need to look at the total number of people in that age group and calculate the percentage of them who had over 500 messages.

Total number of people age 12-15 = 24 + 47 + 78 = 149
Number of people age 12-15 who had over 500 messages = 78

Relative frequency = (Number of people age 12-15 who had over 500 messages / Total number of people age 12-15) * 100
Relative frequency = (78 / 149) * 100
Relative frequency = 52.3%

Therefore, the relative frequency of people age 12-15 who had over 500 messages is 52.3%.

Answer 3

To find the percentage chance that a person who prefers cherries is from the North, we need to look at the total number of people who prefer cherries and then see how many of them are from the North.

Total number of people who prefer cherries = 120 (North) + 25 (South) = 145
Number of people who prefer cherries and are from the North = 120

Percentage chance = (Number of people who prefer cherries and are from the North / Total number of people who prefer cherries) * 100
Percentage chance = (120 / 145) * 100
Percentage chance = 82.8%

Therefore, the percentage chance that a person who prefers cherries is from the North is 82.8%.