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:
- How many third graders were surveyed? 49 (add up all of the frequencies)
- What is the mode of the data? 1 (the most children have 1 pet)
- 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)
- 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).
- What is the range of the data? 6 (the maximum minus the minimum = 6 - 0 = 6)
- What is the minimum of the data? 0
- 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:
- How many students took the exam? 36 (add up all of the frequencies, each of these represents a student)
- What is the mode of the data? 2 (10 students, the most of any category, got a 2)
- 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)
- What is the mean of the data? 2.5 (add up all of the data points and divide by 36)
- What is the range of the data? 4 (5 - 1 = 4)
- What is the minimum of the data? 1
- What is the maximum of the data? 5