Representing Data:Day 1Name:

Objective S.ID.1: Represent data with plots on the real number line (line plots, bar graphs, histograms and box plots)

Part I: Brainstorm everything you know about “Data Representation” usingthe web below.

Part II: Texting Frenzy!

  1. On two different post-it notes, write the average number of text messages you send per day.
  2. Take one post-it note and place it on our class number line to create a bar graph.
  3. Describe the bar graph created by our class. What is the “shape of the distribution” (how is the date spread out)?
  1. A Histogram is similar to a bar graph, except it displays numerical data using ranges/intervals of data called “bins.” The height of the bar represents the frequency of the data. What would be an appropriate size “bin” for our class-generated texting data? (ex: 0 – 9 messages, 10 – 19 messages, etc.) What should we consider to determine the “bin” size?
  1. Put your second post-it note onto our class histogram. Then, describe the shape of the distribution in our class histogram. Include how it is similar to as well as different than the bar graph we created.
  1. Is the histogram a better display for our data than the bar graph? Why or why not?
  1. Compare and contrast bar graphwith histograms using the Venn Diagram below.
  1. Calculate the mean, median, mode, and range of our texting data. Show your work below!

REVIEW: Measures of Center and Spread
Definition/How to find it / Texting Data Calculation
Mean:
Median:
Mode:
Range:

Part III: Other Types of Data Representations

In groups, you will represent the numerical data from our texting survey using one of the graphical displays listed below. Your representation should be drawn on chart paper and displayed at the front of the room for discussion.

Type of Display / Advantages / Disadvantages
Line Plot
Histogram
Stem and Leaf Plot
Box and Whisker Plot
Bar Graph / + Great for categorical data (favorite color, pets, etc.)
+ Visual, easy to see trends
+ Height of bars makes it easy to read and interpret most vs. least, etc. / - Cannot represent Numerical Data
- Only a MODE of this type of data

Part IV: Skew

  1. The graphs below show two sets of data as histograms. The graph on the left is skewed left and the graph on the right is skewed right. What do you think it means for data to be skewed? Be specific.

  1. What do you think a histogram would look like if the data was symmetric? Explain and draw a picture.
  1. How would you describe our class data? Is it skewed? Is it symmetrical? Explain your thinking.
  1. Does the type of representation affect the way we describe the data? For example, look at the posters around the room; does your description of the data change depending on the type of graph?

Part V: Tic-Tac-Toe

You may select any 3 activities to complete from the tic-tac-toe board below. Your activities must form a straight line (Tic-Tac-Toe!).