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Warm-Up What is the median of 3, 5, 1, 22, 4, 3?
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Finished with Test? Put everything inside the test booklet. Make sure your name is on everything. Put the booklet in the class bin. Take notes on the slides. The slides will automatically move to the next slide after 3 minutes. Do the practice problems in the slides. If you finish with the slides, review your statistics packet. The packet for 35 and 36 is due on Wednesday. The last packet is due on Monday, 5/26.
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Warm-Up What is the mode of the data displayed below:
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Warm-Up Statistics packet on desk – 35 and 36. What is the interquartile range of the box plot?
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Warm-Up What is 120% of 3? EOG REVIEW ANSWERS ON DESK.
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Warm-Up At a store, Susan selected a pumpkin that weighed 35.2 ounces. Pumpkins cost $1.80 per pound. There are 16 ounces in 1 pound. How much did Susan’s pumpkin cost? EOG REVIEW ANSWERS ON DESK.
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Homework Last statistics packet – due Friday Study guide – Operations with Fractions,Changing Numbers to Mixed Numbers, and Comparing Fractions and Decimals (11 problems) due Thursday Study guide –Changing Fractions to Decimals, Changing Decimals to Fractions, Operations with Decimals (12 problems) due Friday Study Guide –Negative Numbers, Proportions, and Expressions (26 problems) due Monday Study Guide – Equations and Inequalities (12 problems) due Tuesday Study Guide – Coordinate Plane (4 problems) due Wednesday
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Review Schedule Proportions/Percents Wednesday, Thursday http://amby.com/educate/math/4- 2_prop.html http://amby.com/educate/math/4- 2_prop.html
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Median – the middle of the data set, means that 50% of the data is greater or equal to this number and 50% is less or equal to this number Mean – all numbers added together then divided by how many numbers there are. If all values were redistributed evenly, they would all balance on this number
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Notes Interquartile range (IQR) – measure of the spread of the middle half of a data set, this shows how the data set can vary in the middle 50% of the data set, also shows the length of the box in a box plot, not affected by outliers To find the IQR, find the median of the entire data set first. Then find the lower quartile (first quartile or Q1). This would be the median of the numbers that start before the median of the entire data. Then find the upper quartile (third quartile or Q3). This is the median of the numbers that start after the median of the entire data. Then subtract Q1 and Q3 to find the range, or difference, between the 2 numbers.
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Example The temperatures for 11 days are shown below: 70, 68, 72, 75, 68, 69, 82, 73, 79, 78, 83 First, put the numbers in order: 68, 68, 69, 70, 72, 73, 75, 78, 79, 82, 83 Find the median of the entire data set: 73 Find the lower quartile (Q1): 69 Find the upper quartile (Q3): 79 Find the IQR by finding the difference: 10
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Notes Mean absolute deviation (MAD) Mean = average Absolute = how far from 0 Deviation = how something moves away or is different from the normal – Find the mean of the data set – Find the difference of each score from the mean – Add the differences together – Divide the differences by how many numbers Example: 87, 79, 82, 89, 93 Mean is 86 Differences: 87- 86 = 1 86 – 79 = 7 86 – 82 = 4 89 – 86 = 3 93 – 86 = 7 Add the differences: 1 + 7 + 4 + 3 + 7 = 22 Divide by how many numbers you used: 22/5 = 4.4 The MAD is 4.4. This means that the average distance from the mean is 4.4.
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Practice
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