The distribution of text message usage by age group, broken down by daily message volume, is shown in the table.

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.

(1 point)
%
Incorrect

Divide the total number of people in the 12-15 age group who sent over 500 text messages by the total number of people in the 12-15 age group. Multiply the result times 100 to get the percent.....
Remaining Attempts : 2
Skip to navigation

Answer 1

To find the relative frequency of people age 12–15 who sent over 500 text messages, you need to follow these steps:

1. Identify the total number of people in the 12–15 age group:

   • 0–200 messages: 24
   • 201–500 messages: 47
   • Over 500 messages: 78

   Total for age group 12–15 = 24 + 47 + 78 = 149

2. Find the number of people aged 12–15 who sent over 500 messages:

   • Number of people aged 12–15 who sent over 500 messages = 78

3. Calculate the relative frequency: \[ \text{Relative Frequency} = \frac{\text{Number of people aged 12–15 with over 500 messages}}{\text{Total number of people aged 12–15}} = \frac{78}{149} \]

4. Convert this to a percentage: \[ \text{Percentage} = \left(\frac{78}{149}\right) \times 100 \approx 52.34% \]

5. Round to the nearest tenth: The relative frequency of people age 12–15 who had over 500 messages is approximately 52.3%.