Exam_1_Introduction_to_Probability_and_Statistics-108-123

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San Bernardino Valley College *

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108

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Statistics

Date

Apr 3, 2024

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xlsx

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Uploaded by KidFlagKoala37

Question 1 19 40 3 42 61 2 67 72 72 73 77 9 77 77 79 Classes Frequency 79 0 - 59 3 79 60 - 69 2 81 70 - 79 9 81 80 - 89 8 82 so… 90 - 100 13 85 8 86 87 88 88 90 90 91 92 93 93 13 94 95 95 97 98 99 99 Question 2 Blood Pressure Category Systolic mm HG (Classes) Frequency Normal 0 - 119 180 Elevated 120 - 129 170 High Blood Pressure (Hypertension) Stage 1 130 - 139 60 High Blood Pressure (Hypertension) Stage 2 140 - 179 58 Hypertensive Crisis 180+ 54 Frequency

The shape is Right Tailed/ Right Skewed Question 3 Which of the following statistical quantities are heavily affected by extreme values in data sets (se 2 Median 4 3 Mean 4 4 → Var 2.5 5 SD 1.5811388 6 Question 4-7 $41,229 $39,444 $47,016 $46,114 $43,973 $38,830 $43,185 $45,949 $44,657 $43,632 $45,792 $39,155 $43,283 $47,583 $46,196 $40,038 Q4 Mean $43,505 Q5 Median $43,803 Q6 2854.75 8149570.19 Q7 $41,229 $39,444 $47,016 $46,114 $43,973 $38,830 $43,185 $45,949 $44,657 $43,632 $45,792 $39,155 $43,283 $47,583 $46,196 $40,038 $60,000 Mean $44,475 Increased Mean Median $43,973 vs Median The median STD D Pop Var Pop 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 0 20 40 60 80 100 120 140 160 180 200 Frequency

4768.04 Increased 22734171.1141868 Both Inceased Question8 Region 1 $609,045 $637,354 $641,243 $632,341 $604,979 $646,458 $616,936 $639,379 $620,934 $619,634 $602,883 $634,295 $629,539 $634,509 $631,311 $637,659 Mean $627,406 Median $631,826 Standard Dev 12983.9574823065 Checked usin Varience 168583151.902344 Region 1 = $12,983.96 Region 2 = $91,941.34 Question 9 The following is a semester syllabus for a course: Category Weight Homework 15% Exams 40% Term Project 15% Final 30% The following are a student's scores in the course: Assignment Score Homework 100% Exam 1 60% Exam 2 91% Term Project 98% Final 94% Compute the final semester grade for the student. Might be Typo Question 10-12 Mean 350 Top of bell curve or middle of the graph Standard Dev 4 Range where 68% of produced engines will operate. STD D Pop STD D Pop Var Pop Var Pop Region 2 would have the larger deviation The closest grade from 88.1% is 87.1% normal distribution = Bell Curve so count by 4

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Mean = 350 Q 10 68% 346-354 Q 11 95% 342-358 Q 12 99.70% 338-362

elect all that apply). 2 Median 4 vs 3 Mean 2000002.8 4 Var 2E+13 5 SD 4472134.39 10000000 Old Data $43,505 $43,803 6 is replaced by an extreme value n is unaffected to extreme values

2854.75 8149570.1875 Region 2 $696,436 $410,131 $691,225 $453,208 vs $465,970 $576,428 $494,969 $667,243 $546,645 $536,485 $484,851 $529,013 $428,143 $405,494 $586,872 $592,983 Mean $535,381 Median $532,749 ng population Standard Dev 91941.3377656 Varience 8453209590.13 h % on the mutiple choice

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Question 13-20 $41,229 $39,444 $47,016 $46,114 $43,973 $38,830 $43,185 $45,949 $44,657 $43,632 $45,792 $39,155 $43,283 $47,583 $46,196 $40,038 Q 13 Min $ 38,830.00 Q 14 Q1 [ =QUARTILE.INC () ] $ 40,931.25 Q 18 Inner Fence Q 15 Q2 [ =QUARTILE.INC () ] $ 43,802.50 Q1 -1.5 * IQR $ 33,342.75 Q 16 Q3 [ =QUARTILE.INC () ] $ 45,990.25 Q3 +1.5 * IQR $ 53,578.75 Q 17 Max $ 47,583.00 Q 19 Outer Fence IQR = Q3 -Q1 $ 5,059.00 Q1 - 3 * IQR $ 25,754.25 Q3 + 3 * IQR $ 61,167.25 Question 20 $ 41,229.00 $ 39,444.00 $ 47,016.00 $ 46,114.00 $ 43,973.00 $ 38,830.00 $ 43,185.00 $ 45,949.00 $ 44,657.00 $ 43,632.00 $ 45,792.00 $ 39,155.00 $ 43,283.00 $ 47,583.00 $ 46,196.00 $ 40,038.00 $ 60,000.00 60,000 > 33,342.75 60,000 60,000 > 53,578.75 60,000 so…. Suppose again the dealership is selling the car at a price of $60,000. What kind of va It's LARGER than the Inner Fence It's WITHIN the

So $60,000 is a Mild Outlier because it's still within the Outer Fence

> 25,754.25 < 61,167.25 so…. alue is the selling price for the data set? e Outer Fence This chart isn't available in your version of Excel. Editing this shape or saving this workbook into a different file format will permanently break the chart.

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