Math Problem Statement
Using the table below, calculate the mean number of hours spent looking at mobile screens per day for 2019 and 2020.
Solution
The image is displayed, but I need to extract the data to calculate the mean hours spent looking at mobile screens for both 2019 and 2020. I'll manually note the table from the image and proceed with the calculations.
The table contains the following dataThe image is displayed, but I need to extract the data to calculate the mean hours spent looking at mobile screens for both 2019 and 2020. I'll manually note the table from the image and proceed with the calculations.
The table contains the following
| Number of Hours | 2019 | 2020 |
|---|---|---|
| 0 | 91 | 65 |
| 1 | 316 | 261 |
| 2 | 418 | 389 |
| 3 | 287 | 298 |
| 4 | 194 | 193 |
| 5 | 99 | 100 |
| 6 | 55 | 61 |
| 7 | 8 | 18 |
| 8 | 30 | 33 |
| 9 | 3 | 2 |
| 10 | 12 | 22 |
| 11 | 0 | 3 |
| 12 | 10 | 11 |
| 13 | 1 | 1 |
| 14 | 0 | 2 |
| 15 | 1 | 1 |
| 16 | 1 | 1 |
| 18 | 0 | 2 |
| 20 | 1 | 1 |
| 24 | 1 | 0 |
Now, I'll calculate the mean number of hours for both 2019 and 2020 using weighted averages.The mean number of hours spent looking at mobile screens per day for:
- 2019 is approximately 2.79 hours.
- 2020 is approximately 3.07 hours.
These values reflect a slight increase in screen time from 2019 to 2020.
Would you like any further details or clarifications?
Here are 5 related questions you might explore:
- How does the median screen time compare to the mean for both years?
- What is the total increase in screen time from 2019 to 2020?
- What is the variance and standard deviation of screen time for each year?
- How do extreme values (like 24 hours) impact the mean for each year?
- Can the mode (most frequent number of hours) for both years be calculated?
Tip: When analyzing time-based data, the mean may not always capture extreme patterns—consider using median and mode for additional insights.
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Math Problem Analysis
Mathematical Concepts
Weighted Average
Statistics
Formulas
Weighted Mean = Σ(hours * frequency) / Σ(frequency)
Theorems
Weighted Mean
Suitable Grade Level
Grades 9-12
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