Question Details

Between 10 pm and 6 am, a fitness band records the following data. Refer the following data table and answer the question.



How long was the user in Deep Sleep or was Awake?

Options

A

3.5 hours

B

2.5 hours

C

4.5 hours

D

4 hours

Show Answer

Correct Answer :

Option D

4 hours

Solution :

The correct option is 4 hours.

Step-by-step Explanation:

1. Determine the total duration of the recorded time window:
The fitness band records data from 10 pm to 6 am.
- From 10 pm to 12 am (midnight) is 2 hours.
- From 12 am to 6 am is 6 hours.
Thus, the total tracked duration is:
Total time = 2 hours + 6 hours = 8 hours.

2. Analyze the data table from the image:
The table displays five categories of sleep/wake states with the following values:
- Deep sleep: 15
- Dreaming: 15
- Light sleep: 5
- Extremely light sleep: 30
- Awake: 35
Summing these values: 15 + 15 + 5 + 30 + 35 = 100. This indicates that the values represent percentages of the total duration.

3. Calculate the total percentage of time spent in "Deep sleep" or "Awake":
To find the combined duration, we sum the percentages for "Deep sleep" and "Awake":

Combined Percentage = 15 % + 35 % = 50 %

4. Calculate the duration in hours:
Finally, we calculate 50% of the total 8 hours:

Duration = 8 hours × 0.50 = 4 hours

Therefore, the user spent 4 hours in either Deep Sleep or Awake.

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