Relative Frequencies Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items

Question
Use the table to answer the question.

The distribution of text message usage by age group, broken down by daily message volume, is shown in the table.
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)
%
Remaining Attempts : 3

Answer 1

To find the relative frequency of people age 12–15 who had over 500 messages, follow these steps:

1. Find the total number of text messages for the age group 12–15:

   • Number of text messages (0–200) = 24
   • Number of text messages (201–500) = 47
   • Number of text messages (Over 500) = 78

   Total for age group 12–15: \[ 24 + 47 + 78 = 149 \]

2. Find the number of people age 12–15 who had over 500 messages:

   • Number of messages (Over 500) for age 12–15 = 78

3. Calculate the relative frequency: \[ \text{Relative Frequency} = \frac{\text{Number of people with over 500 messages}}{\text{Total number of people in that age group}} \] \[ \text{Relative Frequency} = \frac{78}{149} \]

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

5. Round to the nearest tenth: \[ \approx 52.3% \]

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