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blue TALL 20% Relative Error 1% Relative Error $ lbs.

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Presentation on theme: "blue TALL 20% Relative Error 1% Relative Error $ lbs."— Presentation transcript:

1 blue TALL 20% Relative Error 1% Relative Error $10.99 5 lbs.
Population: 100 people voted today. Sample: We asked 10 people who they voted for. Sample Statistic: 5 people told us they voted for A. Parameter: 50% of the population voted for A today. Qualitative (quality) blue TALL Honda Civic 5 stars Quantitative (quantity) $10.99 5 lbs. 26 inches 5,000 miles Difference: 1 foot Difference: 1 foot Actual: 79 feet Actual: 5 feet Measured: 80 feet Measured: 6 feet

2 Comparison statement Reference Value Compared Value Calculation Janice's annual income is ___% of Paul's Janice's annual income $75,000 Paul's annual income $50,000 (75,000/50,000)*100 = 150% Paul's annual income is ___% of Janice's (50,000/75,000)*100 = 67% Janice makes ___% more in a year than Paul Absolute difference between salaries $25,000 (25,000/50,000)*100 = 50% Paul makes ___% less in a year than Janice (25,000/75,000)*100 = 33% A middle-income ($38k-$64k) couple will spend $165,630 for food, shelter and other basic necessities to raise a child born last year to age 17. A middle-income ($38k-$64k) couple will spend $165,630 for food, shelter and other basic necessities to raise a child born last year to age 17.

3 BAR GRAPH PIE CHART HISTOGRAM PARETO CHART GRAPH
16 12 Grade Number of Students 8 4 500 450 400 350 300 Number of Students Grade PARETO CHART GRAPH Title Number of Students Number of Students Legend Grade Vertical Axis Label Grade Horizontal Axis Label

4 Percent Year Percent Thousands of dollars Year Year Percent 20 years ago 140 calories Today 350 calories Year

5 Mean Median Mode Actual values in the data set Values are in numerical order Values are in numerical order 0, 0, 0, 0, 1, 3, 3, 5, 6 0, 0, 0, 0, 1, 3, 3, 5, 6 9 Number of values in the data set Middle value Most common value 18 9 2 This is the mean Weighted Mean Weight Weight Weight Value Value Value (96 * 25) + (95 * 25) + (84 * 50) Sum of all the weights 89.5 This is the weighted mean

6 Values are in numerical order
Range Five Number Summary 5 Number Summary 1 Low Value 2 Lower Quartile 3 Median 4 Upper Quartile 5 High Value Values are in numerical order Median 20, 21, 21, 21, 22, 23, 24, 25, 26, 28 Lower Quartile Upper Quartile Low value High value Lowest value Highest value [20, 21, 21, 21, 22,] 23, [23, 24, 25, 25, 28] Range 28-20 Range 8 Batting Average # of balls hit # of chances to hit Justice 104 balls hit 411 chances to hit Jeter 12 balls hit 48 chances to hit

7 Justice .253 Jeter .250 Batting Average # of balls hit
# of chances to hit Justice 104 balls hit 411 chances to hit Jeter 12 balls hit 48 chances to hit 10,000 breast tumors are detected 1% breast tumors are malignant # of malignant tumors = 10,000 * 1% = 100 # of benign tumors = 10,000 * 1% = 9,900 85% screen tests are accurate Test results of 100 women who actually have malignant tumors Test results of 9,900 women who actually have benign tumors Total # of positive test results = ,485 = 1, 570 % accurate positive results = 85 / 1, 570 = = 5% ACCURATE (POSITIVE) RESULTS # Test Positive = 100 * (0.85) = 85 FALSE POSITIVE # Test Positive = 9,900 * (0.85) = 1,485 FALSE NEGATIVE # Test Positive = 100 * (0.15) = 15 ACCURATE (NEGATIVE) RESULTS # Test Positive = 9,900 * (0.15) = 8,415

8 % accurate positive results = 85 / 1, 570 = 0.05414 = 5%
Batting Average # of balls hit # of chances to hit Justice 104 balls hit 411 chances to hit Jeter 12 balls hit 48 chances to hit 10,000 breast tumors are detected 1% breast tumors are malignant # of malignant tumors = 10,000 * 1% = 100 # of benign tumors = 10,000 * 1% = 9,900 85% screen tests are accurate Test results of 100 women who have malignant tumors Test results of 9,900 women who have benign tumors TOTAL Positive Results ACCURATE POSITIVE 100 * 85% = 85 FALSE POSITIVE 9,900 * 15% = 1,485 1,570 Negative Results FALSE NEGATIVE 100 * 15% = 15 ACCURATE NEGATIVE 9,900 * 85% = 8,415 8,430 100 9,900 10,000 % accurate positive results = 85 / 1, 570 = = 5%

9 Number of Standard deviations from average value
Probability = 68% Probability = 0.3% 400 500 600 700 1200 1700 Number of Standard deviations from average value Probability of results by range for normal distribution 1 68% 2 95% 3 99.7%


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