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)
%

Answer 1

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

From the table, the number of text messages for age 12-15 is as follows:
- 0–200 messages: 24
- 201–500 messages: 47
- Over 500 messages: 78

Now, we can 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 in the age group 12–15 who sent over 500 messages, which is 78.

Now, we can calculate the relative frequency:

\[
\text{Relative Frequency} = \frac{\text{Number of people with over 500 messages}}{\text{Total number of people in age group}} = \frac{78}{149}
\]

Calculating that gives:

\[
\frac{78}{149} \approx 0.5235
\]

To convert this to a percentage, we multiply by 100:

\[
0.5235 \times 100 \approx 52.35
\]

Rounding to the nearest tenth, we get:

\[
52.4\%
\]

Thus, the relative frequency of the people age 12–15 who had over 500 messages is **52.4%**.