To calculate the mean and median from the provided responses, we should first analyze the values presented.
Let's rearrange the responses:
- Mean: 5:00, Median: 6:00
- Mean: 5:00, Median: 6:00
- Mean: 5:00, Median: 5:00
- Mean: 5:00, Median: 5:00
- Mean: 6:00, Median: 6:00
- Mean: 6:00, Median: 6:00
- Mean: 6:00, Median: 5:00
Next, we'll collect the mean and median values separately.
Calculating the Mean: From the responses, the mean values are:
- 5:00 (4 times)
- 6:00 (3 times)
Converting the times to hours:
- 5:00 = 5 hours
- 6:00 = 6 hours
Now calculate the total sum of these hours and the total count: \[ \text{Total Sum} = (5 \times 4) + (6 \times 3) = 20 + 18 = 38 \text{ hours} \] \[ \text{Total Count} = 4 + 3 = 7 \]
Then, we calculate the mean: \[ \text{Mean} = \frac{38}{7} \approx 5.42857 \text{ hours} \]
Converting this back to hours and minutes:
- 0.42857 hours = 0.42857 \times 60 = 25.71 minutes ≈ 30 minutes when rounded to the nearest half-hour.
Thus, the mean is approximately 5:30.
Calculating the Median: The median is the middle value in an ordered list. The ordered list consists of:
- 5:00 (4 times)
- 6:00 (3 times)
Arranging this gives us:
- 5:00, 5:00, 5:00, 5:00, 6:00, 6:00, 6:00
Since there are 7 values, the median is the 4th value:
- Median = 5:00.
Final Results:
- Mean: 5:30 (rounded to nearest half-hour)
- Median: 5:00
So, the final answer is:
- Mean: 5:30
- Median: 5:00
3 answers