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.
To find the relative frequency for the people age 12-15 who had over 500 messages, we need to divide the number of people in that category by the total number of people in that age group.
In the table, it shows that there were 78 people age 12-15 who had over 500 messages.
The total number of people in the age group 12-15 is the sum of the three categories: 24 + 47 + 78 = 149.
To find the relative frequency, we divide 78 by 149 and convert it to a percentage:
78/149 ≈ 0.5235
0.5235 * 100 = 52.35
Rounded to the nearest tenth, the relative frequency is 52.4%.