Use the table to answer the question.
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.
To find the relative frequency of people age 12-15 who had over 500 messages, we need to divide the number of people in that category by the total number of people in the 12-15 age group.
In this case, the number of people age 12-15 who had over 500 messages is 78. The total number of people in the 12-15 age group is 24 + 47 + 78 = 149.
Therefore, the relative frequency of the people age 12-15 who had over 500 messages is 78/149 ≈ 0.5235.
Converting this to a percentage, we get 0.5235 * 100 = 52.35%. Rounding to the nearest tenth, the relative frequency is approximately 52.4%.