Lesson 6 problem solving practice analyze data distributions, as...
Mathematics For the plots with outliers, discuss with the class why the outliers may have occurred. Construct viable arguments and critique the reasoning of others.
Ask students how they used the structure and patterns in their line plots to decide what value is typical. Use appropriate tools strategically Have students discuss how the Line Plot with Stats interactive made their work easier or helped them to determine a typical value for their data set.
Use this sentence starter if you find it to be helpful. What is the correlation between attributes X and Y over a given set S of data cases?
As with other oral instructions, ensure that the pace of your speech is appropriate for ELLs. If the data are spread out over a very large range, it may not be possible i did do my homework name one typical value. What is the distribution of values of attribute A in a set S of data cases? Retrieve Value Given a set of specific cases, find attributes of those cases.
Tools for Analyzing Data Write a summary of how you can use mathematical tools to analyze data and describe what the typical characteristics of a sixth grade student are. This numerical technique is referred to as normalization  or common-sizing. Could they be real, but unusual, values?
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You can see in this visualization that, for a normal distribution: In his book Psychology of Intelligence Analysis, retired CIA analyst Richards Heuer wrote that analysts should clearly delineate their assumptions and chains of inference and specify the degree and source of the uncertainty involved in the tale of two cities essay prompts.
For example, when analysts perform financial statement analysisthey will often recast the financial statements under different assumptions to help arrive at an estimate of future cash flow, which they then discount to present value based on some interest rate, to determine the valuation of the company or its stock.
Formative Assessment Summary of the Math: What is the value of aggregation function F over a given set S of data cases? The characteristics of the data sample can be assessed by looking at: Alternatively, ask questions, as your explanation unfolds, to monitor understanding. Consider these questions: US Airways also has a lower standard deviation, meaning delays are typically closer to the mean.
In order to do this, several decisions about the main data analyses can and should be made: Discuss plots for which the choice of a typical value is clear and plots for which it is not. Additional Discussion Points When analyzing a set of data, the graph and all of the measures are necessary to draw a valid conclusion.
Mathematical Practice 7: Ask students to speculate that maybe the line plot isn't always the best representation and there might be other ways to display the data.
When making the leap from facts to opinions, there is always the possibility that the opinion is erroneous. For example, confirmation bias is the tendency to search for or interpret information in a way that confirms one's preconceptions.
The choice of analyses to assess the data quality during the initial data analysis phase depends on the analyses that will be conducted in the main analysis phase.
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- Go Math! 6 Common Core Edition - Textbook Resources TOC | Lumos Learning
So you might say that This makes it a fact. If one or two data values occur much more than the others, then the mode might be typical.
Analytics and business intelligence[ edit ] Main article: Mathematics For the plots with outliers, discuss with the class why the outliers may have occurred. Is the new mean a better representation of what is typical?
One should check whether structure of measurement instruments corresponds to structure reported in the literature.
Other possible data distortions that should be checked are: You can have students ignore the outliers and recompute the mean. Make Connections Take notes as your classmates present their line plots, measures, and conclusions about the characteristics of a typical sixth grade student.
- Did you provide suggestions about how to decide what a typical value in a data set is?
- What is the distribution of values of attribute A in a set S of data cases?
Task 5: Performance Task Ways of Thinking: In the case of outliers: Task 6: Image from Wikipedia. As presenters explain how they decided what value is typical for their data, encourage them to use clear, precise language and correct mathematical terms.
Construct viable arguments and critique the reasoning of others. In the case of too small subgroups: Mathematical Practice 3: There are many such techniques employed by analysts, whether adjusting for inflation i. If your conclusion was unclear, what could help to make it clearer?
In case the randomization procedure seems to be defective: Students should explain how they decided which value is typical or why they concluded that there is no typical value.
It is especially important to exactly determine the structure of the sample and specifically the size of the subgroups when subgroup analyses will be performed during the main analysis phase.
The value for standard deviation defines a range above and below the mean for which a certain percentage of the data lie. Discuss how the outliers affect the measures of center. You can use. Work Time Reflection Write a reflection about the ideas discussed in class today.
Which data cases in a set S of data cases are relevant to the current users' context? Similarly, the CBO analyzes the effects of various policy options on the government's revenue, outlays and deficits, creating alternative future scenarios for key measures. Analysts may also analyze data under different assumptions or scenarios. There are two ways to assess measurement: If the measures are the same or close, and the data are clustered around that point, the conclusion is probably valid.
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Analysts may be trained specifically to be aware of these biases college essay single spaced how to overcome them. In addition, individuals may discredit information that does not support their views.
Review the reflections to find out what students think a typical sixth grade student is. If the study did not need or use a randomization procedure, one should check the success of the non-random sampling, for instance by checking whether all subgroups of the population of interest are represented in sample. Barriers to effective analysis[ edit ] Barriers to effective analysis may exist among the analysts performing the data analysis or among the audience.
Go Math! 6 Common Core Edition
If the data are sample cover letter for job application malaysia close to the mean, then the mean may be typical.
Distinguishing fact from opinion, cognitive biases, and innumeracy are all challenges to sound data analysis. If it was difficult to draw a conclusion about the data, lesson 6 problem solving practice analyze data distributions was that? Daniel Patrick Moynihan Effective analysis requires obtaining relevant facts to answer questions, support a conclusion or formal opinionor test hypotheses.