Common Core Unit 3: Statistics in WHS Algebra B/Algebra 1
2/10 / Mon / Statistics S1 : Mean, Standard Deviation(new), Mode, Dot plots (line plots), Histograms / #19 / Practice test – goldBlock A / Test Q1-Q6 / #20 / S1: #1-21
Block B / Performance Task #2
Homework is Review from Algebra A (Inequalities and writing equations) / #21 / Review Assignment
p. 184 #10, 12, 14,
p. 100 #1-12
2/14 / Friday / Performance Task #2
Homework is Review from this year see section 7.6 notes (Point-Slope Form for writing equations) / #22 / Review Assignment
p. 331 #2-22 even
2/17 / Mon / President’s Day
2/18 / Tues / Professional Development Day
2/19 / Wed / Statistics S2: Box and whiskers plots (Box Plot), Median, Quartiles, Interquartile Range / #23 / S2: #28-40
2/20 / Thurs / Statistics S3: Graphing Scatterplots, reminder of writing equations of the lines given 2 points / #24 / S3: #41-50
Review S1:#22-27
2/21 / Friday / Statistics S4: Beginning of Regression Lines, estimating lines of best fit, correlation coefficient (near 1 is a good linear fit, negative vs. positive correlation) / #25 / S4: #51-65
Practice Quiz
2/24 / Monday / Statistics S5: A look at Residuals calculated by hand given the equation of a regression line
Looking at a graph of residuals to determine whether the regression line is a good fit / #26 / S5: #66-78
Block A / Quiz on S1, S2 and S3
Statistics S6: Technology with Regression Lines – need to check out Chrome Books / #27 / S6: 79-85 and
Practice Test #1
Block B / Review / #28 / Practice Test #2
2/28 / Friday / Test on Statistics / #29 / Review of graphing lines and parabolas
Statistics S1-S6: Homework Problems
Algebra B/Algebra 1 Common Core
S1: Standard Deviation
Compute the Standard Deviation for each.
1. 6, 6, 8, 8
2. 1, 3, 12, 5, 9
3. 3, 5, 5, 3, 5, 9, 5, 5
4. 4, 4, 4
5. 8, 7, 15, 9, 11, 11, 9
6. 1000, 1006, 1008, 1014
S1: Dot Plots
Organize the data in a dot plot.
7. The ages of the Girls’ soccer team this year are 15,16,14,13,15, 15, 16, 17, 16, 17, 14, 17, 18, 18, 15, 15, 13. Make a dot plot.
8. A supermarket manager studies the amount of time customers stand in line before being checked out by tracking one customer each half hour. The times in minutes the first 20 customers wait are 3,2,5,2,0,1,2,4,6,4,4,8,3,0,2,1,6,3,3,1. Make a dot plot.
Use your dot plots in #7 and #8 to answer the following questions
9. What is the mode of the ages of players on the Girls’ soccer team? Explain what that means in the real world.
10. What is the mode of customer wait time? Explain what that means in the real world.
S1: Histograms
Fill in the frequency tables below then draw well-labeled histograms for each table
11. The numbers of grams of protein in servings of 20 protein-rich foods are:14.0, 8.5, 7.1, 6.1, 2.4, 32.0, 31.2, 30.7, 26.7, 8.0, 6.0, 6.0, 5.5, 5.0, 4.0, 2.0, 2.5, 12.0, 7.1, 4.8
Protein (grams) / Tally / FrequencyNow on graph paper draw a well-labeled histogram of the number of grams in these 20 protein-rich foods.
12. The heights of the players on a high school basketball team are , , , , , , , , , , , , ,
Heights (feet) / Tally / FrequencyNow on graph paper, draw a well-labeled histogram of the heights of the players on a high school basketball team.
Use your histograms or frequency tables in #11 and #12 to answer the following questions
13. How many basketball players have heights of 6 feet or more?
14. How many of the 20 protein-rich foods have less than 5.0 grams of protein?
15. What is the mode height of basketball players on the high school basketball team mentioned in #12?
Saving money on gas: Owners of new compact cars were asked to keep track of their mileage (miles per gallon) for 6 months. The results of the survey are listed in the frequency table here.
Miles Per Gallon / Frequency15.0-19.9 / 14
20.0-24.9 / 23
25.0-29.9 / 31
30.0-34.9 / 34
35.0-39.9 / 26
40.0-44.9 / 8
16. How many cars averaged less than 20 mi/gal?
17. How many cars averaged more than 29.9 mi/gal?
18. How many cars averaged less than 30 mi/gal?
19. How many cars averaged 35 or more mi/gal?
20. What was the best gas mileage (miles per gallon) of any of the cars?
21. How many car owners responded to the survey?
History: The Montgomery Ward Catalogue of 1895 lists 81 varieties of saddles with weights ranging from 3.5 lbs to 40 lbs. (lbs is the abbreviation for pounds.) The weights are summarized in a histogram. The weights are the x values and the y values are the frequencies.
22. How many saddles weigh more than 20 lbs?
23. How many saddles weigh between 6 lbs and 15 lbs?
24. How many saddles weigh 40 lbs?
25. How many saddles weigh more than 31 lbs?
26. Explain why it is correct to say that more than half of the saddles weigh less than 16 pounds.
27. Explain why you cannot be certain that more than half the saddles weigh less than 15 pounds.
S2: Box Plots (also called Box and Whisker Plots), the median, the quartiles, the interquartile range, the range and outliers
Find the median, the quartiles, the interquartile range, the maximum and the minimum for each set of data.Then draw a box plot for each.
28. 13, 14, 16, 17, 19, 23, 27, 30
29. 2, 5, 6, 5, 12, 14, 12, 15, 10 (are they in order yet?)
30. 66in,71in,73in,66in,68in,73in,76in,62in,66in,72in,74in,71in,73in
31. 15, 16, 14, 13, 15, 15, 16, 17, 16, 17, 14, 17, 18, 18, 15, 15, 13
Given the picture of a box plot above, what are the following?
32. What is the median and interquartile range for Miami’s rainfall?33. What is the median and interquartile range for New Orleans?
34. What is the range of average monthly rainfalls for Miami?
35. What is the maximum monthly average rainfall for Miami?
36. What is the minimum monthly average for New Orleans?
Outliers – Show the work that leads to your answer.
37. Would the data value of 20 be an outlier for the data in #29?
38. Would the data value of 22 be an outlier for the data in #29?
39. Would thedata value of 5 be an outlier for the data in #28?
40. Would the data value 40 be an outlier for the data in #28?
S3: Scatterplots
On graph paper, make scatterplots for the following sets of data.
41.(0,0) (1,3) (2,6) (3,7) (4,9) (5,12) (6.13) (7,14)
42. (2,25) (3,18) (4,13) (5,9) (6,7) (7,6) (8.7)
43 / x / Y / 44 / Study time / Test Grade / 45 / Year / x / $ to Starbucks(Revenue)1 / 15 / 0 hours / 40 / 2004 / 5 billion
2 / 12 / 0 hours / 60 / 2005 / 6 billion
3 / 9 / 1 hours / 70 / 2006 / 8 billion
4 / 6 / 1 hours / 80 / 2007 / 9 billion
5 / 3 / 2 hours / 85 / 2008 / 10 billion
6 / 0 / 2 hours / 90 / 2009 / 10 billion
3 hours / 95 / 2010 / 11 billion
3 hours / 90 / 2011 / 12 billion
3 hours / 100 / 2012 / 13 billion
Review on writing equations of lines given 2 points
Write the equation of each line given 2 points on the line.
46. (2, 4) and (5, 10) 47. (-2, 5) and (4, 13)
48. (1, -3) and (-5, 9) 49. (2, 0) and (16, 20)
50. x-intercept is -5 and y-intercept of 3. Hint: Write as 2 separate points first.
S4 Estimating lines of best fit, use of correlation coefficient
Choose two appropriate points to estimate your line of best fit then write the equation of the line for each problem indicated.
51. using your scatterplot in #41
52. using your scatterplot in #42
53. using #43 54. using #44 55. using #45
Determine if the correlation is strong or weak based on the correlation coefficient given and determine what the sign of the correlation coefficient tells you about the graph.
56. 0.94 57. -0.76 58. -0.99 59. 0.38 60. -1
Based on the scatterplots below, what can you say about r? How do you know? Include a discussion about the sign or r.
61. 62. 63. 64. 65.
S5: Regression Lines and their residuals
Draw and fill in a residual table for each. Then graph the residuals.
66. Data from #41 and
67. Data from #42 and
68. Data from #43 and
69. Data from #44 and
70. Data from #45 and
Given each graph of the residuals, indicate whether the residuals seem to be random or form a pattern? Based on this information would you say the relationship might be linear?
71. 72. 73.
Causation versus correlation: These items are correlated. Explain why or why not you think there is a causation relationship.
74. Study hours and Grade on the Test
75. Number of drownings and number of Ice Cream Sales
76. Number of firefighters and number of fires in a city
77. Tobacco sales and people with lung cancer
78. Shoe size and teacher salary
S6: Concept is using technology to make regression lines
x is the numbers of years since 2000, so x = 4 is 2004.
y is the revenue (in billions) of all Starbucks stores in existence.
The SBAC regression calculator gave you: Y1=(0.95)x+(1.73)
79. What is y for the year 2015? (x=15) What does your answer mean for Starbucks?
80. What is the xthat corresponds to 20 billion revenue? What does that mean to Starbucks?
81. Using this regression equation when will 30 Billion be made?
82. What is the slope of the regression line? What does it mean?
83. What is the y-intercept of the regression line? What does it mean?
Fill in what you would fill in if you had the SBAC graphing calculator in front of you
84. for the data in #44
85.for the data in #45
SBAC calculator link: