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# Reading Tables and Drawing Conclusions Practice AK

A teacher surveyed the students in the third grade about how many pets they owned.  The table below summarizes the data:

 Number of pets Frequency 0 5 1 18 2 17 3 4 4 3 5 1 6 1

Use the table above to answer the following questions:

1. How many third graders were surveyed? 49 (add up all of the frequencies)
2. What is the mode of the data? 1 (the most children have 1 pet)
3. What is the median of the data? 2 (if you layout all of the datapoints, 5 zeros, 18 ones, etc, the middle point is 2)
4. What is the mean of the data? 1.78 (if you add up all of the datapoints (for a shortcut, multiply the frequencies by the numbers, so 5 times 0, 18 times 1, 17 times 2) and then divide by 49, you get the mean or average of the data).
5. What is the range of the data? 6 (the maximum minus the minimum = 6 - 0 = 6)
6. What is the minimum of the data? 0
7. What is the maximum of the data? 6

A class of AP Physics students took the AP Physics exam (which is notoriously difficult!).  The table below summarizes the students' scores on the exam

 Score on AP Physics Exam Frequency 1 9 2 10 3 8 4 6 5 3

Use the table above to answer the following questions:

1. How many students took the exam? 36 (add up all of the frequencies, each of these represents a student)
2. What is the mode of the data? 2 (10 students, the most of any category, got a 2)
3. What is the median of the data? 2 (If you like up all of the data, the middle two points are both 2, the average of 2 and 2 is 2)
4. What is the mean of the data? 2.5 (add up all of the data points and divide by 36)
5. What is the range of the data? 4 (5 - 1 = 4)
6. What is the minimum of the data? 1
7. What is the maximum of the data? 5