Use the table to answer the question.

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 need to use the following formula:

\[ \text{Relative Frequency} = \frac{\text{Frequency of the group}}{\text{Total frequency of the age group}} \]

From the table:

• The frequency of people age 12–15 who had over 500 messages is 78.
• The total frequency of people age 12–15 can be calculated by summing the counts for all ranges:

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

Now we can calculate the relative frequency:

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

Calculating this gives:

\[ \text{Relative Frequency} \approx 0.5235 \]

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

\[ 0.5235 \times 100 \approx 52.35% \]

Rounding it to the nearest tenth gives:

\[ 52.4% \]

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