Following are the ages of students in a math class at a local community college. 18, 18, 19, 19, 19, 20, 20, 22, 22, 22, 23, 23, 25, 27, 42, 43, 57 Construct a graph that is appropriate for these data. Discuss the "spread" of this graph as it pertains to the average age of a student in the class.
What will be an ideal response?
| 1 | 8 | 8 | 9 | 9 | 9 | ||||||||
| 2 | 0 | 0 | 2 | 2 | 2 | 3 | 3 | 5 | 7 | ||||
| 3 | |||||||||||||
| 4 | 2 | 3 | |||||||||||
| 5 | 7 | ||||||||||||
This graph displays high-frequency in the late teens and early twenties age groups and low-frequency in the forties and fifties age groups. The spread is large with the youngest student at 18 and the oldest at 57. The average age of a student in this class is approximately 26. The average is skewed toward the high end because of the three much older students.
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