Question

se 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 the people age 12–15 who sent over 500 messages, we can use the following steps:

1. Identify the total number of people age 12–15 from the table.
2. Identify the number of people age 12–15 who sent over 500 messages.
3. Divide the number of people who sent over 500 messages by the total number of people age 12–15.
4. Multiply by 100 to get the percentage.

From the table:

• Number of text messages for age 12–15:
  • 0–200 messages: 24
  • 201–500 messages: 47
  • Over 500 messages: 78

Step 1: Calculate the total number of people age 12–15. Total = 24 + 47 + 78 = 149

Step 2: Number of people age 12–15 who had over 500 messages is 78.

Step 3: Calculate the relative frequency. Relative Frequency = (Number of people with over 500 messages / Total number of people age 12–15) Relative Frequency = 78 / 149

Step 4: Convert to percentage. Relative Frequency Percentage = (78 / 149) * 100

Calculating this gives: Relative Frequency Percentage ≈ 52.34%

Rounding to the nearest tenth gives us: 52.3%

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