Session 2, Part B:
Line Plots

In This Part: Counting Raisins | Making a Line Plot | Interpreting a Line Plot | Intervals

Here is the line plot for the 17 raisin counts of Brand X raisins: Note 5

Let's take a closer look at this graph. The horizontal axis corresponds to the number of raisins in a box. Each dot indicates one box of raisins, and the dots are placed above the numbers that indicate how many raisins are in the box. For instance, the four red dots tell us that four boxes contain 29 raisins. The two green dots tell us that two boxes contain 26 raisins.

It is important to note that the raisin counts are ordered on the horizontal axis. A proper interpretation of this graph depends on this ordering.

Problem B6

Use the line plot to answer the following questions:

 a. What is the minimum (smallest) raisin count for a box of Brand X raisins? b. What is the maximum (largest) raisin count for a box? c. How many boxes have between 26 and 28 raisins, inclusively (i.e., including 26 and 28)? d. How many boxes have between 25 and 31 raisins, inclusively (i.e., including 25 and 31)? e. Which raisin count occurred most frequently? f. How many boxes contain more than 29 raisins? g. How many boxes contain 29 or fewer raisins? h. How many boxes contain fewer than 26 raisins? i. How many boxes contain 25 or fewer raisins? j. How many boxes contain between 26 and 29 raisins, inclusively?

 Problem B7 Look back at the answers you gave in Problem B6 (f) and (g). Are these answers related? If so, how? And why? What about your answers to Problem B6 (h) and (i)?

 Problem B8 Based on your observations above, give three descriptive statements that provide an answer to the question "How many raisins are there in a half-ounce box of Brand X raisins?" At least two of your statements should take into account the variation in the data.

 Video Segment In this video segment, participants attempt to answer the question "How many raisins are there in a box of Brand X raisins?" by collecting data, analyzing data, and interpreting the results. Watch the segment after you have completed Problems B1-B8, and compare your strategy with the onscreen participants'. Is there a lot of overall variation in the data collected by Georgina's group? Are there places where there isn't a lot of variation in this data? If you're using a VCR, you can find the first part of this segment on the session video approximately 12 minutes and 50 seconds after the Annenberg Media logo. The second part of this segment begins approximately 14 minutes and 42 seconds after the Annenberg Media logo.

 Session 2: Index | Notes | Solutions | Video