7) Here are some body temperatures in F: 97.21 97.37 97.68 98.62 98.31 97.98 97.52 a)...

 

 

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7) Here are some body temperatures in F: 97.21 97.37 97.68 98.62 98.31 97.98 97.52 a) Calculate the mean, variance and standard deviation. b) Now convert these readings to K (no one in their right mind would use degrees Kelvin for body temperature, but let's do it anyway). To convert, remember that K = F For example, to convert the first reading (F = 97.21) you would do: - - 32 1.8 +273.15. 97.21-32 1.8 +273.15 = 309.38 c) Calculate the mean, variance and standard deviation of the converted data. (Don't forget to answer the questions below). d) take the mean you calculated in (a) and convert this to Kelvin using the same formula you used in (b). you surprised by the results? Why or why not? Are e) take the standard deviation from (a) and divide it by 1.8. Can you explain the results? Why didn't you have to subtract 32 and then add 273.15? Watch your math in this step! (If you're puzzled by some of this, you should review your answers to question 6) 8) Here are some data on the heights in feet of 31 black cherry trees. This is actually part of one of the built in data sets in R (there are many data sets built into R). 70 65 63 72 81 83 66 75 80 75 79 76 76 69 75 74 85 86 71 64 78 80 74 72 77 81 82 80 80 80 87 a) Make a stem and leaf plot of these data (do not use R). b) Make a histogram of these data (do not use R). 7) Here are some body temperatures in F: 97.21 97.37 97.68 98.62 98.31 97.98 97.52 a) Calculate the mean, variance and standard deviation. b) Now convert these readings to K (no one in their right mind would use degrees Kelvin for body temperature, but let's do it anyway). To convert, remember that K = F For example, to convert the first reading (F = 97.21) you would do: - - 32 1.8 +273.15. 97.21-32 1.8 +273.15 = 309.38 c) Calculate the mean, variance and standard deviation of the converted data. (Don't forget to answer the questions below). d) take the mean you calculated in (a) and convert this to Kelvin using the same formula you used in (b). you surprised by the results? Why or why not? Are e) take the standard deviation from (a) and divide it by 1.8. Can you explain the results? Why didn't you have to subtract 32 and then add 273.15? Watch your math in this step! (If you're puzzled by some of this, you should review your answers to question 6) 8) Here are some data on the heights in feet of 31 black cherry trees. This is actually part of one of the built in data sets in R (there are many data sets built into R). 70 65 63 72 81 83 66 75 80 75 79 76 76 69 75 74 85 86 71 64 78 80 74 72 77 81 82 80 80 80 87 a) Make a stem and leaf plot of these data (do not use R). b) Make a histogram of these data (do not use R).