Question

The distribution of text message usage by age group, broken down by daily message volume is shown 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

Answer 1

To calculate the relative frequency of the people aged 12-15 who had over 500 text messages, we first need to determine the total number of individuals aged 12-15 in the table.

From the table, the values for age group 12-15 are as follows:

- Number of text messages 0-200: 24
- Number of text messages 201-500: 47
- Number of text messages over 500: 78

Next, we calculate the total number of individuals in the age group 12-15:

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

Now, we can find the relative frequency of those who had over 500 messages:

\[
\text{Relative frequency} = \frac{\text{Number of individuals with over 500 messages}}{\text{Total for age 12-15}} = \frac{78}{149}
\]

Calculating this 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:

\[
52.4\%
\]

Thus, the relative frequency of the people aged 12-15 who had over 500 messages is approximately **52.4%**.