Please process the measured horizontal range data in Excel to determine the mean, the standard deviation and the standard error of the range. Horizontal Range (m): Mean Standard Deviation Standard Error

icon
Related questions
Question
The same projectile experiment was conducted as you did in class. A racquet ball rolls down a track, leaves the track at an initial height of 0.961 m above the floor, with an exit speed \( v_{\text{exit}} = 1.40 \, \text{m/s} \) at an angle \( \theta_{\text{exit}} = 7.46^\circ \). The landing spot was repeatedly measured ten times, and the racquet ball's horizontal range data is provided below.

| Data run       | 1     | 2     | 3     | 4     | 5     | 6     | 7     | 8     | 9     | 10    |
|----------------|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------|
| Landing spot (m) | 0.585 | 0.590 | 0.595 | 0.590 | 0.585 | 0.580 | 0.580 | 0.585 | 0.580 | 0.575 |
Transcribed Image Text:The same projectile experiment was conducted as you did in class. A racquet ball rolls down a track, leaves the track at an initial height of 0.961 m above the floor, with an exit speed \( v_{\text{exit}} = 1.40 \, \text{m/s} \) at an angle \( \theta_{\text{exit}} = 7.46^\circ \). The landing spot was repeatedly measured ten times, and the racquet ball's horizontal range data is provided below. | Data run | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |----------------|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------| | Landing spot (m) | 0.585 | 0.590 | 0.595 | 0.590 | 0.585 | 0.580 | 0.580 | 0.585 | 0.580 | 0.575 |
**Instructions:**

Please process the measured horizontal range data in Excel to determine the mean, the standard deviation, and the standard error of the range.

**Table:**

|                     | Mean | Standard Deviation | Standard Error |
|---------------------|------|--------------------|----------------|
| Horizontal Range (m): |      |                    |                |

**Explanation:**

- **Mean**: The average value of the horizontal range measurements.
- **Standard Deviation**: A measure of the amount of variation or dispersion in the measurements.
- **Standard Error**: An estimate of the standard deviation of the sample mean, indicating the accuracy of the mean.
Transcribed Image Text:**Instructions:** Please process the measured horizontal range data in Excel to determine the mean, the standard deviation, and the standard error of the range. **Table:** | | Mean | Standard Deviation | Standard Error | |---------------------|------|--------------------|----------------| | Horizontal Range (m): | | | | **Explanation:** - **Mean**: The average value of the horizontal range measurements. - **Standard Deviation**: A measure of the amount of variation or dispersion in the measurements. - **Standard Error**: An estimate of the standard deviation of the sample mean, indicating the accuracy of the mean.
Expert Solution
Step 1

Solution:

The mean of the given range of data is given by the following:

x¯=xiinx¯=0.585+0.590+0.595+0.590+0.585+0.580+0.580+0.585+0.580+0.57510=0.5845

steps

Step by step

Solved in 3 steps

Blurred answer