**Migraines:
Histograms**

** **

**Name: ___________________**

Below are data collected from patients who suffer from migraine headaches. The patients were instructed to take their assigned drugs as soon as their headaches began and to record how much time passed before the drugs gave relief. Drug A is a traditional drug, and Drug B is an experimental drug. Each value is the number of minutes (rounded to the nearest two minutes) that elapsed before a patient got relief.

**Drug A **(106 patients)

16, 18, 18, 20, 22, 22, 24, 24, 26, 26, 28, 28, 30, 30, 32, 32, 34, 36, 36, 36, 38, 38, 40, 42, 44,

44, 46, 46, 48, 50, 54, 56, 56, 58, 58, 58, 62, 62, 64, 64, 66, 68, 68, 70, 70, 70, 72, 72, 74, 76, 76,

76, 78, 78, 80, 80, 80, 82, 82, 84, 84, 84, 86, 86, 88, 88, 88, 88, 90, 90, 90, 90, 90, 92, 92, 92,

92, 94, 94, 94, 96, 96, 98, 98, 98, 98, 100, 100, 100, 100, 102, 102, 102, 104, 104, 106, 106,

108, 108, 108, 110, 110, 112, 114, 118, 120

**Drug B** (47 patients)

18, 20, 20, 22, 24, 24, 24, 26, 26, 30, 30, 30, 34, 34, 34, 36, 36, 36, 38, 38, 40, 40, 44, 44, 46,

50, 52, 52, 56, 56, 58, 62, 62, 66, 74, 74, 78, 88, 94, 98, 98, 100, 104, 106, 110, 116, 120

- Quickly looking at the data above, which drug do you think gave faster relief from headache pain? Explain.

- List different ways that you could analyze the given data to answer the question above.

- Construct a histogram for each data set below.

4. After examining the histograms, which drug do you think was more effective in giving faster relief from headache pain? Explain.

5. Using Excel, construct a column chart for the data given for each drug.

6. Find the following values:

A. Find the minimum:

Drug A _______ Drug B _______

B. Find the maximum:

Drug A _______ Drug B _______

C. Find the range:

Drug A _______ Drug B _______

D. Find the medians:

Drug A _______ Drug B _______

E. Find the lower quartile (first quartile):

Drug A _______ Drug B _______

F. Find the upper quartile (third quartile):

Drug A _______ Drug B _______

7. Using this analysis which drug gives faster relief? Explain.

8. Using Excel, construct a pie chart from the data given for each drug.

9. What can you conclude about the drugs using the pie chart? Explain.

10. How do the column chart and the pie chart differ in details?

11. Finally, use Excel to find the average time that each drug took for relief from headache pain.

Drug A _______ Drug B _______

The information from this worksheet was obtained from the worksheet
titled *Migraines: Histograms *from *Navigating through Data Analysis in Grades
6-8.*