6) A professor timed all students in his Statistics class for how long it took them to complete the final exam. The results are given below, in minutes. 92 65 70 84 170 110 115 100 135 105 120 165 145 150 75 100 155 95 88 125 96 145 115 170 160 150 90 a) Find the population mean and standard deviation. Use appropriate symbols b) Sketch a boxplot by hand for time to finish the exam. Write the "5 number summary" on the boxplot. c) Calculate the IQR, the interquartile range. Use the IQR to determine which, if any, data values can be classified as outliers. Show your reasoning. d) Find the value of P90, and explain its meaning in the context of the question. Show your work. e) Calculate the Z-score for a student who took 90 minutes. Show our work.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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6) A professor timed all students in his Statistics class for how long it took them to complete the final exam.
The results are given below, in minutes.
92
65
70
84
170
110
115
100
135
105
120
165
145
150
75
100
155
95
88
125
96
145
115
170
160
150
90
a) Find the population mean and standard deviation. Use appropriate symbols
b) Sketch a boxplot by hand for time to finish the exam. Write the "5 number summary" on the boxplot.
c) Calculate the IQR, the interquartile range. Use the IQR to determine which, if any, data values can be
classified as outliers. Show your reasoning.
d) Find the value of P90, and explain its meaning in the context of the question. Show your work.
e) Calculate the Z-score for a student who took 90 minutes. Show our work.
Transcribed Image Text:6) A professor timed all students in his Statistics class for how long it took them to complete the final exam. The results are given below, in minutes. 92 65 70 84 170 110 115 100 135 105 120 165 145 150 75 100 155 95 88 125 96 145 115 170 160 150 90 a) Find the population mean and standard deviation. Use appropriate symbols b) Sketch a boxplot by hand for time to finish the exam. Write the "5 number summary" on the boxplot. c) Calculate the IQR, the interquartile range. Use the IQR to determine which, if any, data values can be classified as outliers. Show your reasoning. d) Find the value of P90, and explain its meaning in the context of the question. Show your work. e) Calculate the Z-score for a student who took 90 minutes. Show our work.
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