Which statements describe some ways that the student recorded data incorrectly on the lab report?

A. The speed data should all be arranged in increasing order.
B. No units are given for the speed of the water.
C. Millimeters are not the best unit to use for the distance.
D. Wind speed should be in [tex]$mph$[/tex].
E. The student mixes units of length, using SI units for distance and customary units for depth.

\begin{tabular}{|c|c|c|}
\hline & \multicolumn{2}{|l|}{ Lab Report } \\
\hline 0 & \multicolumn{2}{|c|}{ Data Collected from River } \\
\hline 0 & Distance from bank, [tex]$mm$[/tex] & Speed of water \\
\hline O & 1,265 & 9.4 \\
\hline & 3,451 & 10.6 \\
\hline 0 & 8,072 & 15.7 \\
\hline 0 & 12,140 & 18.2 \\
\hline 0 & 16,293 & 22.4 \\
\hline 0 & 19,188 & 20.8 \\
\hline & \multicolumn{2}{|c|}{ Wind speed: [tex][tex]$12 \, km/h$[/tex]} \\
\hline 0 & \multicolumn{2}{|c|}{ Depth of center of river: 36.5 feet } \\
\hline
\end{tabular}



Answer :

Certainly! Let's review the lab report and the errors in data recording step by step.

1. Arrangement of Speed Data:
The speed data recorded by the student in the lab report is:
```
9.4, 10.6, 15.7, 18.2, 22.4, 20.8
```
The speed values are not arranged in increasing order. The correctly sorted speeds should be:
```
9.4, 10.6, 15.7, 18.2, 20.8, 22.4
```

2. Units for Speed of Water:
The lab report does not specify any units for the speed of the water. To avoid ambiguity, units should have been indicated. Let’s assume the units should be in meters per second (m/s).

3. Units for Distance:
The distances from the bank are recorded in millimeters (mm), which is not the most convenient unit for measuring such large distances.
The recorded distances are:
```
1,265 mm, 3,451 mm, 8,072 mm, 12,140 mm, 16,293 mm, 19,188 mm
```
Converting these values to meters (m) by multiplying each distance by 0.001, we have:
```
1.265 m, 3.451 m, 8.072 m, 12.14 m, 16.293 m, 19.188 m
```

4. Units for Wind Speed:
The reported wind speed is given as:
```
12 km/h
```
For consistency with other customary or SI units commonly used in different contexts, it's often preferred to express wind speed in miles per hour (mph). The conversion factor from km/h to mph is approximately 0.621371:
[tex]\[ 12 \, \text{km/h} \times 0.621371 = 7.456452 \, \text{mph} \][/tex]

5. Mix of SI Units and Customary Units for Depth:
The depth of the center of the river is reported in feet:
```
36.5 feet
```
To maintain consistency with the SI units used elsewhere in the report, this should be converted to meters (m). The conversion factor from feet to meters is 0.3048:
[tex]\[ 36.5 \, \text{feet} \times 0.3048 = 11.1252 \, \text{m} \][/tex]

Given the corrected data, here is a summary of the adjustments made:

- Speed of water (sorted and units included):
```
9.4 m/s, 10.6 m/s, 15.7 m/s, 18.2 m/s, 20.8 m/s, 22.4 m/s
```

- Distance from bank (converted to meters):
```
1.265 m, 3.451 m, 8.072 m, 12.14 m, 16.293 m, 19.188 m
```

- Wind speed (converted to mph):
```
7.456452 mph
```

- Depth of center of river (converted to meters):
```
11.1252 m
```

Conclusively, the student made the following errors:
- The speed data was not arranged in increasing order.
- The units for the speed of the water were not specified.
- Millimeters were used as units for distance, which is not the best unit for large distances.
- Wind speed was given in km/h instead of mph.
- There was a mix of SI (millimeters) and customary (feet) units for distance and depth respectively.