IM1.8.1 Texting by the numbers (MVP)

Author:
Lind, Jon
Topic:
Numbers

Task 1: Entering and displaying data with GGB

Technology changes quickly and yet has a large impact on ourlives.
Recently, Rachel was busy chatting with her friends via text message when her mom was trying to also have a conversation with her. Afterward, they had a discussion about what is an appropriate amount of texts to send each day. Since they could not agree, they decided to collect data on the number of texts people send on any given day.   They each asked 24 of their friends the following question:“What is the average number of texts you SEND each day?” The data representing all 48 responses are below:   Data: {150, 5.5, 6, 5, 3, 10, 150, 15, 20, 15, 6, 5, 3, 6, 0, 5,12, 25, 16, 35, 5, 2, 13, 5, 130, 145, 155, 150, 162, 80, 140, 150, 165, 138,175, 275, 85, 137, 110, 143, 138, 142, 164, 70, 150, 36, 150, 150}  1. Enter the data in Row 1 of your spreadsheet below (you can copy and paste). 2. Select Row 1 and do a One Variable Analysis Toolbar Image of the data. You should get a histogram.

Here's my histogram

Here's my histogram

3. Can you make your histogram look like mine? (Hint: you may need to move the pane dividers to make your histogram bigger).  4. Change the display from “Histogram” to “Dot Plot”. How is this view similar or different? 5. Change the display from “Dot Plot” to “Box Plot”.  How is this view similar or different? Answer these questions below. 6. What does a box plot show that a histogram and a dot plot do not? 7. What do a histogram and a dot plot show that a box plot does not?

Rachel's Box Plot

Rachel's Box Plot

Prior to talking about the data with her mom, Rachel had created a box plot using her own data she collected and it looked quite different than when they combined their data.  8. Looking at Rachel's box plot, which of the following data sets is Rachel's, and which is her mother's? How do you know? Set A: {150, 5.5, 6, 5, 3, 10, 150, 15, 20, 15, 6, 5, 3, 6, 0, 5, 12, 25, 16, 35, 5, 2, 13, 5} Set B: {130, 145, 155, 150, 162, 80, 140, 150, 165, 138, 175, 275, 85, 137, 110, 143, 138, 142, 164,70, 150, 36, 150, 150}

9. Create a box plot of the data from Rachel's mother in the spreadsheet below.

10. Rachel wants to continue sending her normal number of texts (average of 100 per day) and her mom would like her to decrease this by half. Present an argument for each side, using mathematics and the box plots to justify each person’s request.