he 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 500Age 12–15 24 47 7816–19 20 35 9720–23 55 67 177Given 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)

Question

he 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 500Age 	12–15 	24 	47 	7816–19 	20 	35 	9720–23 	55 	67 	177Given 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)

GPT-4o mini · Answer

To find the relative frequency of people age 12–15 who had over 500 messages, you first need to calculate the total number of people in the age group and then find the proportion of those who sent over 500 messages.

From the table:

Age 12–15:
- 0–200 messages: 24
- 201–500 messages: 47
- Over 500 messages: 78

Now, calculate the total number of people in the age group 12–15:

\[ \text{Total for age 12–15} = 24 + 47 + 78 = 149 \]

Next, we find the number of people age 12–15 who had over 500 messages, which is 78.

Now calculate the relative frequency by dividing the number of people with over 500 messages by the total number of people:

\[ \text{Relative frequency} = \frac{78}{149} \]

Now convert that to a percentage:

\[ \text{Relative frequency as a percentage} = \left(\frac{78}{149}\right) \times 100 \approx 52.34% \]

Now, round the percentage to the nearest tenth:

\[ \text{Rounded percentage} \approx 52.3% \]

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