Metric units include measures of length, volume, mass, and temperature, and are based on multiples of ten. The initial and most fundamentally important analysis of a data set is to determine the central tendency mean, mode, and median and the variation range, variance, standard deviation inherent in the data.
Make metric measurements of length, width, volume, mass, and temperature for common objects. Calculate mean, median, range, variance, and standard deviation for example data.
Gather and statistically summarize a data set of student heights. Inventory supplies and, if necessary, reorder supplies. After the supply of each material is verified, check off the supply in the spaces in the list s below. Two weeks before lab: Determine how many work groups you will have. Verify that the needed quantities of disposable supplies are available. Distribute materials to each work station. One hour before the lab: Fill the ice chest with crushed ice. Heat water if hot tap water is not available.
A large flask of water should be fine for the entire class. We also provide a few objects of unknown mass, volume, and dimensions for the students to measure.
The class results are put on the board, collated, and the variation is discussed. Comparison shopping at the following scientific companies might save you money on some supplies: o. Safety first: Be sure and cover any safety issues that may be specifically related to this lab procedure.
Can measurements be accurate but not precise? Can measurements be precise but not accurate? Make the following conversions. What are some potential sources of error in your measurements? What volume of liquid did you measure? Variable a. Density is mass per unit volume. What is the density of the wooden pencil?
Does it float? Because wood is less dense than water, the pencil will float. The density of the pencil will vary. What is the density of the rock? Does it sink? Because the rock has a higher density than water, it will sink. The exact density of the rock will vary. Does the mean always describe the "typical" measurement?
Why or Why not? No, because the mean can be dramatically affected by a single, extreme atypical measurement. And, the mean may be calculated to a portion of a single unit; i. What information about a sample does a mean not provide?
It does not provide information about variation, range, and extremes on either side of the mean. What is responsible for this difference between the mean and median? The distribution of numbers throughout the range is uneven. How would the median change if the 9-mm-long leaf was not in the sample?
The median would not change. How would the mean change if the 9-mm-long leaf was not in the sample? The mean would change from Consider these samples. What is the mean for sample 1? Sample 2? Could two samples have the same mean but different ranges? Yes, the mean does not reflect the distribution of sample values. Could two samples have the same range but different means? Yes, uneven distributions of numbers within the same range could produce different means. What does your calculation tell you?
Conclusions vary males usually taller than females, range for males usually greater than range for females, etc. What are the limitations of your sample? Questions for Further Thought and Study 1. What are the advantages and disadvantages of using the metric system of measurements? Base 10 of units, easy to convert between scales. Unfortunately many scientists and businesses are in countries using the English standards of units and measurement scales.
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