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Algebra 1 Regular/Honors – Phase 2 Part 1 TEXTBOOK CHECKOUT

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Algebra 1 Regular/Honors – Phase 2 Part 1 TEXTBOOK CHECKOUT Algebra 1 Phase 2 – Part 1 Directions: In the pack you will find completed notes with blank TRY IT! and BEAT THE TEST! questions. Read, study, and work through these problems. Focus on trying to do the TRY IT! and BEAT THE TEST! problem to assess your understanding before checking the answers provided at PHASE 2 INSTRUCTIONAL CONTINUITY PLAN the end of the packet. Also included are Independent Practice questions. Complete these and return to your BEGINNING APRIL 16, 2020 teacher/school at a later date. Later, you may be expected to complete the TEST YOURSELF! problems online. (Topic Number 1H after Topic 9 is HONORS ONLY) Topic Date Topic Name Number Completed 9-1 Dot Plots Algebra 1 Regular/Honors – Phase 2 Part 1 9-2 Histograms 9-3 Box Plots – Part 1 TEXTBOOK CHECKOUT: No Textbook Needed 9-4 Box Plots – Part 2 Measures of Center and 9-5 Shapes of Distributions 9-6 Measures of Spread – Part 1 SCHOOL NAME: _____________________ 9-7 Measures of Spread – Part 2 STUDENT NAME: _____________________ 9-8 The Empirical Rule 9-9 Outliers in Data Sets TEACHER NAME: _____________________ 9-1H Normal Distribution 1 What are some things you learned from these sections? Topic Date Topic Name Number Completed Relationship between Two Categorical Variables – Marginal 10-1 and Joint Relative Frequency – Part 1 Relationship between Two Categorical Variables – Marginal 10-2 and Joint Relative Frequency – Part 2 Relationship between Two 10-3 Categorical Variables – Conditional What questions do you still have after studying these Relative Frequency sections? 10-4 Scatter Plot and Function Models 10-5 Residuals and Residual Plots – Part 1 10-6 Residuals and Residual Plots – Part 2 10-7 Examining Correlation 2 Section 9: One-Variable Statistics Section 9 – Topic 1 Dot Plots Statistics is the science of collecting, organizing, and analyzing data. There are two major classifications of data. Ø Categorical (categories) o Based on “qualities” such as color, taste, or texture, rather than measurements Ø Quantitative (numerical) o Based on measurements There are two types of quantitative data. Ø Discrete o There is a finite number of possible data values. Ø Continuous o There are too many possible data values so data needs to be measured over intervals. Classify the following variables. o Categorical Height o Discrete quantitative l Continuous quantitative l Categorical Favorite subject o Discrete quantitative o Continuous quantitative o Categorical Number of televisions l Discrete quantitative in a household o Continuous quantitative l Categorical Area code o Discrete quantitative o Continuous quantitative o Categorical Distance a football is thrown o Discrete quantitative l Continuous quantitative o Categorical Number of siblings l Discrete quantitative o Continuous quantitative To differentiate between quantitative and Ø categorical data ask yourself: Can I take the average of this data, and is it meaningful? If the average is meaningful, then the data is quantitative. A group of college students were surveyed about the number of books they read each month. The data set is listed below. 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7 Ø Let’s display the above data in a dot plot. Ø Each data value is represented with a dot above the number line. Ø The dot plot shows the frequency of data values. Ø Always include the title and an appropriate scale on the number line for the dot plot. Ø Dot plots are often used for: o smaller sets of data o discrete data What is frequency? How often data value(s) occur or the “count” of the data values. Let’s Practice! 1. The amount of time 26 students spent on their phones on a given day (rounded to the nearest hour) is recorded as follows. 0, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 12 Create a dot plot of the data above. Time on Phone Try It! BEAT THE TEST! 2. Mrs. Ferrante surveyed her class and asked each student, 1. The cafeteria at Just Dance Academy offers items at “How many siblings do you have?” The results are seven different prices. The manager recorded the price displayed below. each time an item was sold in a two-hour period and created a dot plot to display the data. a. Construct0, 4, 2a, 2dot, 3, 4plot, 8, 1 of, 0, the1, 2, data.2, 3, 0, 3 , 1, 1, 2 b. What observations can you make about the shape of the distribution? Describe the data from the dot plot. c. Are there any values that don’t seem to fit? Justify your answer. Want some help? You can always ask questions on the Algebra Wall and receive help from other students, teachers, and Study Experts. You can also help others on the Algebra Wall and! earn Karma Algebra Points for doing so. Go to AlgebraNation.com to learn Wall more and get started! 239 Section 9: One-Variable Statistics Section 9 – Topic 2 Histograms College students were asked how well they did on their first statistics exam. Their scores are shown below. 100, 98, 77, 76, 85, 62, 73, 88, 85, 92, 93, 72, 66, 70, 90, 100 We can use a histogram to represent the data. Ø A histogram is a bar-style data display showing frequency of data measured over intervals, rather than displaying each individual data value. Ø Each interval width must be the same. Ø Always title the graph and label both axes. Ø Choose the appropriate scale on the �-axis and the appropriate intervals on the �-axis. Ø Histograms are often used for: o larger sets of data o continuous data Describe an interval. A range of values Represent the following students’ scores on a histogram. 100, 98, 77, 76, 85, 62, 73, 88, 85, 92, 93, 72, 66, 70, 90, 100 Let’s Practice! 1. Those same students from our first example were also asked how long in minutes it took them to complete the exam. The data is shown below. 40.3, 42.4, 43.2, 44.1, 45.0, 55.7, 64.3, 70.3, 72.1, 32.3, 44.4, 54.5, 71.3, 66.1, 35.8, 67.2 Construct a histogram to represent the data. Let’s Practice! Try It! 1. Those same students from our first example were also 2. Determine the sets of data where it would be better to use asked how long in minutes it took them to complete the a histogram instead of a dot plot. Select all that apply. exam. The data is shown below. ¨ Average daily temperatures for Albany, NY over a year ¨ Daily temperatures for Albany, NY over a month 40.3, 42.4, 43.2, 44.1, 45.0, 55.7, 64.3, 70.3, 72.1, 32.3, 44.4, 54.5, ¨ The results of rolling two dice over and over Construct a histogram 71.3 ,to66 represent.1, 35.8, 67. 2the data. ¨ Height of high school football players statewide ¨ Finishing times of randomly selected athletes for a -meter race 125 100 ! 241 Section 9: One-Variable Statistics BEAT THE TEST! Section 9 – Topic 3 Box Plots – Part 1 1. Last year, the local men’s basketball team had a great season. The total points scored by the team for each of The following box plot graphically displays a summary of the the games are listed below: data set . 20 {1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7} 45, 46Create, 46, 52 a, 53 frequency, 53, 55, 56 ,table,57, 58, and62, 62 construct, 64, 64, 65 a, 67 histogram, 67, 76, 76 ,of89 the data. A box plot displays the five-number summary for a data set. Ø The five-number summary of a data set consists of the minimum, first quartile, median, third quartile, and maximum values. What is a quartile? Want some help? You can always ask questions on the Algebra Wall and receive help from other students, teachers, and Study Experts. You can also ! help others on the Algebra Wall and earn Karma Algebra Points for doing so. Go to AlgebraNation.com to learn Wall more and get started! 242 Section 9: One-Variable Statistics Section 9 – Topic 3 Box Plots – Part 1 The following box plot graphically displays a summary of the data set {1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7}. A box plot displays the five-number summary for a data set. Ø The five-number summary of a data set consists of the minimum, first quartile, median, third quartile, and maximum values. Q1 Median Q3 Minimum Maximum What is a quartile? ��% of the data Even data set: Lower Half Upper Half � � @ Median A Odd data set: Lower Half Upper Half �@ Median �A Consider the following data set with an even number of data values. 6, 2, 1, 4, 7, 3, 8, 5 The minimum value of the data set is � The maximum value of the data set is �. The median is the number in the middle when the data is ordered from least to greatest. The median of the data set is �. �. The first quartile of the data set is �. �. The third quartile of the data set is �. �.. Use the five-number summary to represent the data with a box plot. � �. � �. � �. � � Some observations from our box plot: Ø The lowest 50% of data values are from � to �. �. Ø The highest 50% of data values are from �.
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