Coursepack, p. 592 MAT 133: (FA21) Sample Midterm Exam, p.3 5) A researcher wants to gather information on the total areas of the different U.S. States. He collects data on the sizes of all the states and the results are shown below. Area of State (mi^2 665.4 268.6 163.7 147 121.6 114 110.6 104.1 98.4 97.8 96.7 86.9 84.9 83.6 82.3 77.3 77.1 71.3 70.7 69.9 69.7 65.8 65.5 59.4 57.9 56.3 54.6 53.8 53.2 52.4 52.4 48.4 46.1 44.8 42.8 42.1 40.4 36.4 35.4 32 24.2 12.4 10.9 10.6 9.6 9.3 8.7 5.5 2.5 1.5 a) What is the unit for the variable "area of state"? b) What type of data is the variable "Area of State"? (Circle one) Qualitative Quantitative, Discrete Quantitative, Continuous c) What appears to be the shape of the distribution? Explain. d) Which measure of central tendency should be used with these data? Explain. e) Find the standard deviation f) Find the variance. g) Is the appropriate symbol for the above standard deviation o or s? h) Interpret the mean and standard deviation in the context of the situation. j) Find the third quartile i) Find the first quartile 1) Find the Interquartile Range k) Find the range