Question

The percentage increase in average screen time for the 13-18 age group from 2010 to 2023 is more than 115%.

Answer 1

Step 1: Find the values for the 13-18 age group in 2010 and 2023.

2010 value = 3.2 hours
2023 value = 7.2 hours
Step 2: Calculate the percentage increase. \[ \text{% Increase} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100 = \frac{7.2 - 3.2}{3.2} \times 100 \] \[ \text{% Increase} = \frac{4.0}{3.2} \times 100 = \frac{40}{32} \times 100 = \frac{5}{4} \times 100 = 1.25 \times 100 = 125% \] Step 3: Compare the result to 115%. Since 125% is more than 115%, the statement is true. Select Yes.

Answer 2

Step 1: List the average usage values for all six age groups in the year 2020. The values are: 3, 6.1, 6.8, 5.5, 4.4, 2.3. Step 2: To find the median, first sort the values in ascending order. Sorted list: \{2.3, 3, 4.4, 5.5, 6.1, 6.8\} Step 3: Since there is an even number of data points (6), the median is the average of the two middle values (the 3rd and 4th values). \[ \text{Median} = \frac{4.4 + 5.5}{2} = \frac{9.9}{2} = 4.95 \] Step 4: Compare the median to 5 hours/day. Since 4.95 is not more than 5, the statement is false. Select No.

Answer 3

Step 1: Calculate the absolute increase for the 30-49 age group from 2010 to 2023.

2023 value = 6 hours
2010 value = 3.5 hours
Increase = \(6 - 3.5 = 2.5\) hours.
Step 2: Calculate the absolute increase for the 50-69 age group from 2010 to 2023.

2023 value = 4.9 hours
2010 value = 2.2 hours
Increase = \(4.9 - 2.2 = 2.7\) hours.
Step 3: Compare the two increases. The increase for the 30-49 group (2.5 hours) is not greater than the increase for the 50-69 group (2.7 hours). Therefore, the statement is false. Select No.