Going With the Flow: Stream Statistics

Valerie Harris (Mathematics)
vharris@cwc.edu
Carol Rardin (Mathematics)
crardin@cwc.edu
Suki Smaglik (Geology/Chemistry)
ssmaglik@cwc.edu
Central Wyoming College

Water Assessment Name

Math 1000 FA07

GRAPHICAL ANALYSIS

Group Z collected rate of flow data from the Wind River on October 12, 2007. The data they collected appears below:


Distance (meters)

Depth (centimeters)

Velocity (m/s)





























1. Convert the data into ft/s and complete the table above. Please show your work for at least one of the conversions. Thereafter, you may want to use your calculators.








2. Calculate the average velocity. Be sure to include correct units.





3. Given that the cross-sectional area of the river is 35 sq ft,

calculate the discharge of the river.





Data for the month of October is presented below.












4. Using October data, create a frequency distribution using intervals: 101-200.99, 201-300.99,….1401-1500.99








5. Create a histogram based on your frequency distribution.














6. Make a dotted vertical line indicating where Group Z’s sample data lies on the histogram.



NUMERICAL SUMMARIES


Using USGS Data:

7. Find the Measures of Center








8. Find the Standard Deviation





  1. Find the 5-Number Summary



10. Create a Box Plot using your 5-number summary.














11. Assume a Normal Distribution and sketch below.

Determine the probability that a new data collection falls between

578 ft3/sec and 853 ft3/sec,