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Unit 6: Statistics

Unit 6: Statistics. Mean, Median, Mode, Range Measures of Variation Box Plots Line Plots Histograms. CCGPS Standards.

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Unit 6: Statistics

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  1. Unit 6: Statistics Mean, Median, Mode, Range Measures of Variation Box Plots Line Plots Histograms

  2. CCGPS Standards MCC6.SP.1. Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students’ ages. MCC6.SP.2. Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. MCC6.SP.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. MCC6.SP.4. Display numerical data in plots on a number line, including dot plots, histograms, and box plots. MCC6.SP.5. Summarize numerical data sets in relation to their context, such as by: MCC6.SP.5.a. Reporting the number of observations. MCC6.SP.5.b. Describing the nature of the attribute under investigation, including how it was measured and its units of measurement MCC6.SP.5.c. Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.

  3. Mathematical Practices • Make sense of problems and persevere in solving them. • Reason abstractly and quantitatively. • Construct viable arguments and critique the reasoning of others. • Model with mathematics • Use appropriate tools strategically. • Attend to precision. • Look for and make use of structure. • Look for and express regularity in repeated reasoning

  4. Lesson 6: Line Plots Real World Link: Students in Mr. Cotter’s class were asked how many after school activities they have. Their responses are shown in the table. Step 1: Use the data to fill in the frequency table Step 2: Turn the table so the number of activities is along the bottom on a number line. Instead of tally marks, place Xs about the number line . The Xs for 0 activities have been placed for you. The data is now represented in a line plot

  5. Lesson 6: Line Plots One way to give a picture of data is to make a line plot. A line plot is a visual display of a distribution of data values where each data value is shown as a dot or another mark, usually an X, above a number line. A line plot is also known as a dot plot. Example 1: Jasmine asked her class how many pets they have. The results are shown in the table. Make a line plot of the data. Then describe the data presented in the graph. Step 1: Draw and label a number line Step 2: Place as many Xs above each number as there are responses for that number. Include a title. Step 3: Describe the data.

  6. Lesson 6: Line Plots Got it? Do this problem to find out. A. Javier asked the members of his 4-H club how many projects they were taking. The results are shown in the table. Make a line plot of the data. Then describe the data in the graph.

  7. Lesson 6: Line Plots You can describe a set of data using measures of center. The range of the data and any outliers are also useful in describing data. Example 2: The line plot shows the prices of cowboy hats. • Find the median and mode of the data. Then describe the data using them. • Find the range and any outliers of the data. Then describe the data using them.

  8. Lesson 6: Line Plots Got it? Do this problem to find out. B. The line plot shows the number of magazines each member of the student council sold. Find the median, mode, range, and any outliers of the data. Then describe the data using them. Median: Mode: Range: Outliers:

  9. Lesson 6: Line Plots Example 3: The line plot shows the amount James deposited in his savings account each month. Describe the data. Include measures of center. Mean: Mode: Median: Range: Q1: Q3: Interquartile Range: Outliers:

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