MATH 10 - Sharons Statistics Exam#1 Notes Example Problems...

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Sharon’s Statistics Exam #1 Notes Example Problems and Application 1) 25 students took a Biology test. The scores that the students obtained were recorded as follows: 73, 73, 69, 70, 54, 54, 56, 50, 80, 81, 70, 73, 85, 73, 80, 81, 69, 79, 63, 57, 51, 51, 67, 51, 52 I) Mean = x = 66.48; II) median = 69; III) mode = 73; IV) SD = 11.58; V) Q1 = 54, Q3 = 76; VI) IQR = Q3-Q1 = 22; VII) Interpretation: the mean is close to the median; mode is to the left; SD is fairly small in comparison to the other numbers, indicating that the pieces of data are close together; 25% of data lies below Q1 = 54; 75% of data lies below Q3 = 76; 25% data lies above Q3 = 76; 50% data lies b/w Q1 = 54 and Q3 = 76. 2) Organize the data in problem 1 as a grouped frequency distribution, and draw a histogram using the graphing calculator. How is the histogram? Skewed to the right? Skewed to the left? Symmetric? Test score range Test score boundary f 50-59 49.5-59.5 9 60-69 59.5-69.5 4 70-79 69.5-79.5 7 80-89 79.5-89.5 5 Skew: skewed a little to the right, but almost symmetric 3) Use the 1.5 x IQR criterion on the data given in problem 1 to identify potential outliers, if there are any.
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