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Warm Up Researchers deigned an observational study to investigate the accepted “normal” body temperature of 98.6F. In the study, 148 healthy men and women ages 18 to 40 had their temperatures taken several times over a three-day period. A total of 700 temperature readings were produced. 1. Explain why this is an observation study and not an experiment. 2. To what population does the conclusion about normal body temperature apply? Justify your answer. 3. Look at the first dot plot (the vertical line at 98.6F is for reference). What does this graph tell you about “normal”? 4. Look at the second set of dot plots. How do male and female temperature compare? Write a few sentences comparing normal body temperatures for males and female in the study. 5. List and describe as many possible sources of variation in this study as you can.

Warm Up Researchers deigned an observational study to investigate the accepted “normal” body temperature of 98.6F. In the study, 148 healthy men and women

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Warm UpResearchers deigned an observational study to investigate the accepted normal body temperature of 98.6F. In the study, 148 healthy men and women ages 18 to 40 had their temperatures taken several times over a three-day period. A total of 700 temperature readings were produced. Explain why this is an observation study and not an experiment.To what population does the conclusion about normal body temperature apply? Justify your answer.Look at the first dot plot (the vertical line at 98.6F is for reference). What does this graph tell you about normal?

Look at the second set of dot plots. How do male and female temperature compare? Write a few sentences comparing normal body temperatures for males and female in the study.List and describe as many possible sources of variation in this study as you can.

When data is presented without a table or in no specific order like this, what is the data called?23 48349352 79537626 7235784Lesson 4: Stem PlotsRaw DataDefinitionSometimes the values of a variable are too spread out for us to make a reasonable dot plot by hand. In these cases, we can consider another simple graphical display called a stem plotsometimes referred to as stem and leaf plots.Example:11 222 2 331 4 42 3 4 4 552 61 1 370Constructing a Stem & Leaf PlotThere are 4 Steps to constructing a stem & leaf plot. They are summarized on pg. 45 of your textbook.At an outpatient testing center, the number of cardiograms performed each day for 20 days is shown.25 31 20 32 1314 43 02 57 2336 32 33 32 4432 52 44 51 45Raw DataStep 1:Arrange the data in numerical order and separate/group according to the first digitConstructing a Stem & Leaf Plot25 31 20 32 1314 43 02 57 2336 32 33 32 4432 52 44 51 45Original Raw DataStep 2:Separate data into A stem, the leading digits, consisting of all but the right-most digitA leaf, the final digit

Stems may have as many digits as needed, but each leaf contains only a single digit.Constructing a Stem & Leaf PlotStep 3:Separate data putting the leading digit in the left column with the smallest at the top and all of the final digits in their corresponding rows in increasing orderLeading digit (stem)Final Digit (leaf)01234523 40 3 51 2 2 2 2 3 63 4 4 51 2 7Constructing a Stem & Leaf PlotStep 4:Divide the leading digit and trailing digit by a vertical line 01234523 40 3 51 2 2 2 2 3 63 4 4 51 2 7_______________________Constructing a Stem & Leaf PlotA particular class of 18 students took a test and the grades were:75 82 92 88 6481 61 84 77 9766 73 88 89 7988 77 69

Try one on your own:A particular class of 18 students took a test and the grades were:67891 4 6 93 5 7 7 91 2 4 8 8 8 92 7_________________________AnswerKey ConceptTo see the overall pattern of a distribution, ignore any outliers. Describe the overall pattern of the distribution by giving the center and the spread, and see if the distribution has a simple shape that you can describe in a few words.

Shape:

Center:

Spread:Key ConceptKey ConceptWhether youre given raw data or the stem & leaf plot you will have to find.

Mean:

Median:

Mode:

Range:ExamplesMean:

Median:

Mode:

Range:Raw Data15223140173242182531324141411520ExamplesMean:

Median:

Mode:

Range:Stem Plot 1 5 5 7 2 0 2 5 3 1 1 2 2 4 0 1 1 1Questions on pg. 46-59#s 2.8, 2.11, 2.12, 2.19, 2.26

Mean, Median, Mode, & Range WorksheetHomework: