Calculating Centers Using Technology
Go to the Describing and Exploring Quantitative Variables tool at https://dcmathpathways.shinyapps.io/EDA_quantitative/.
Step 1) Select the Several Groups tab.
Step 2) Locate the drop-down menu under Enter Data and select From Textbook.
Step 3) Locate the drop-down menu under Data Set and select Sleep Study: Poor Sleep Quality Score. You may change the display to show histograms as desired.
The tool will display descriptive statistics and a distribution for the quantitative variable PoorSleepQuality categorized by whether a respondent identified as a lark, an owl, or as neither. Using information from “Descriptive Statistics”, fill in the table in Question 8 below for Poor Sleep Quality Score.
Step 4) Change the Data Set to Sleep Study: Alcoholic Drinks per Week and use the information from the tool to complete the table in Question 8 for Alcoholic Drinks Per Week.
question 8
Hint
question 9
Hint
question 10
Hint
video placement
[wrap-up:
- Provide a model answer for Question 10 to use statistical language for students to mimic: Let’s consider the conclusions, if any, we can draw from this analysis. When you try to make statements drawing conclusions in a statistical analysis, take care not to make assumptions or statements of fact. Instead, use language that includes phrases such as, “this suggests …,” or “this group tends to… .”
- Reflect back to your response to Question 1 — were you surprised by what you discovered from the data?
- Reflect on the use of the histograms in the activity. Address the challenge of estimating the mean using the histograms. Encourage students to think about why they found it challenging. “Do you think it is possible to look at a histogram and guess whether the mean or median might be larger? If so, what characteristics or features of a histogram might suggest that the mean is larger? What characteristics or features of a histogram might suggest that the median is larger?”]
