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Communication Methods Among Teens

Frequency Two-Way Table

A 5-column table with 3 rows. Column 1 has entries boys, girls, total. Column 2 is labeled text with entries 32, 54, 86. Column 3 is labeled email with entries 14, 11, 25. Column 4 is labeled I M with entries 15, 25, 40. Column 5 is labeled Total with entries 61, 90, 151.

Which answer shows the relative frequency by the row of girls?
52.5%, 23.0%, 24.6%, 100%
57.0%, 12.2%, 27.8%, 100%
60%, 12.2%, 27.8%, 100%
62.8%, 44.0%, 62.5%, 100%

1 answer

To find the relative frequency by the row of girls in the two-way table, we need to calculate the relative frequencies for each communication method among girls and then convert those frequencies into percentages.

The total number of girls is given as 90. The frequencies for the girls in each communication method are as follows:

  • Text: 54
  • Email: 11
  • Instant Messaging (IM): 25

Now, we calculate the relative frequencies:

  1. Text: \[ \text{Relative frequency for Text} = \frac{54}{90} = 0.6 \quad \text{(or 60%)} \]

  2. Email: \[ \text{Relative frequency for Email} = \frac{11}{90} \approx 0.1222 \quad \text{(or 12.2%)} \]

  3. IM: \[ \text{Relative frequency for IM} = \frac{25}{90} \approx 0.2778 \quad \text{(or 27.8%)} \]

Now we can summarize these relative frequencies for girls as:

  • Text: 60%
  • Email: 12.2%
  • IM: 27.8%

Finally, we should also include the total percentage at the end, which is always 100%.

Thus, the relative frequencies by row for girls is:

60%, 12.2%, 27.8%, 100%

Hence, the correct answer is:

60%, 12.2%, 27.8%, 100%