Lab Ch 3 Descrip Stats and Shape of Distn
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1342
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Mathematics
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Apr 3, 2024
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MATH 1342 Name ___________________________ Elementary Statistical Methods Lab Ch.3 –
Descriptive Statistics and the Shape of Distributions Critical Thinking; Communication Skills; Empirical/Quantitative Skills 1.
During this semester, we will be studying inferential
statistics. Refer back to section 1.1, and write a sentence or two summarizing inferential statistics in your own words. 2.
The inferential statistics we cover in our class will all be parametric statistics. Parametric statistics require that certain requirements about the distribution
must be met by the sample data values. Sketch and name the FOUR different-shaped distributions
(refer back to section 2.2). 3.
We have also learned that the mean and the median can give us hints about the distribution of our data. Explain how the relationship between the mean and the median affect the distribution shapes. Be certain to include the words “resistant” and “non
-
resistant” in your explanation.
MATH 1342 Name ___________________________ Elementary Statistical Methods Lab Ch.3 –
Descriptive Statistics and the Shape of Distributions Critical Thinking; Communication Skills; Empirical/Quantitative Skills Use the following data sets in questions below. Data Set 1: A genetic study was performed on the number of armored plates found on stickleback fish. A random sample of 40 stickleback fish showed the following number of plates: 42 64 62 9 12 62 50 12 27 11 65 64 63 21 49 62 43 65 51 62 12 21 62 62 66 9 64 12 63 10 54 21 61 9 20 63 45 57 60 62 Mean = ___________________ Median = ___________________ Distribution: ___________________ Data Set 2:
It has been hypothesized that the body temperature of healthy adult humans is normally distributed. A random sample of 25 healthy adults resulted in the following body temperatures: 98.5 98.6 97.8 98.9 97.9 98 99.2 99.5 99.4 98.3 97.5 98.8 98.6 99.3 98.4 99 98.2 98.7 98.8 99 99.1 98.4 97.6 97.4 97.7 Mean = ___________________ Median = ___________________ Distribution: ___________________ 4.
For each of the data sets, calculate the mean and median and write them in the lines above. Based on the mean and median, what is the most likely distribution of each data set? 5.
Construct a stem-and-leaf plot AND a boxplot for EACH data set. (Title each graph appropriately.) 6.
Do the graphs in #5 support your answers to #4? Explain your reasoning using a complete sentence(s) and proper grammar.
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