Question

Calculate the mean and median of the given data. Round your answers to the nearest half-hour increment as needed. (1 point) 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

Answer 1

your wrong

Answer 2

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