To find the relative frequency of people age 12–15 who had over 500 messages, we need to first determine the total number of people in the age group 12–15 and then the number of people in that group who sent over 500 messages.
From the table, we see:
- Number of people age 12–15 who sent 0–200 messages: 24
- Number of people age 12–15 who sent 201–500 messages: 47
- Number of people age 12–15 who sent over 500 messages: 78
Now, we can calculate the total number of people in the age group 12–15: \[ \text{Total for 12–15} = 24 + 47 + 78 = 149 \]
Next, we find the number of people in this age group who sent over 500 messages, which is 78.
Now, we can calculate the relative frequency: \[ \text{Relative Frequency} = \frac{\text{Number who sent over 500 messages}}{\text{Total number of people in the age group}} = \frac{78}{149} \]
Calculating that value: \[ \frac{78}{149} \approx 0.5235 \]
To convert this to a percentage, we multiply by 100: \[ 0.5235 \times 100 \approx 52.35% \]
Finally, rounding to the nearest tenth, we get: \[ \text{Relative Frequency} \approx 52.4% \]
Thus, the relative frequency of the people age 12–15 who had over 500 messages is 52.4%.