IM Alg1.1.2 Lesson: Data Representations
The dot plot, histogram, and box plot summarize the hours of battery life for 26 cell phones constantly streaming video.
What do you notice? What do you wonder?
A histogram can be used to represent the distribution of numerical data.
Use the set of axes and the information in your table to create a histogram.
The histogram you created has intervals of width 10 (like 40–50 and 50–60). Use the set of axes and data to create another histogram with an interval of width 5.
How does this histogram differ from the other one?
It often takes some playing around with the interval lengths to figure out which gives the best sense of the shape of the distribution.It often takes some playing around with the interval lengths to figure out which gives the best sense of the shape of th
What might be a problem with using interval lengths that are too large?
What might be a problem with using interval lengths that are too small?
What other considerations might go into choosing the length of an interval?
A box plot can also be used to represent the distribution of numerical data.
Using the same data as the previous activity for tomato plants, find the median and add it to the table. What does the median represent for these data?
Find the median of the least 15 values to split the data into the first and second quarters. This value is called the first quartile. Add this value to the table under Q1. What does this value mean in this situation? Find the value (the third quartile) that splits the data into the third and fourth quarters and add it to the table under Q3. Add the minimum and maximum values to the table.