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MathNet 2010 — Part 06 Question 41

Math Olympiad Vault · MathNet 2010 — Part 06

Question 41

For several years, the caretaker of the mountain hut monitored how much time mountaineers spend on the journey from the foot of the valley to the mountain hut just below the top of the mountain. The hikers recorded the time spent themselves, and the caretaker collected the data and edited the frequency table, where he wrote down the relative frequencies.

| time spent in minutes | Relative frequency (in %) |
| :--- | :---: |
| $90-105$ | 7,9 |
| $105-120$ | 19,4 |
| $120-135$ | 37,2 |
| $135-150$ | 16,3 |
| $150-165$ | 12,7 |
| $165-180$ | $?$ |

determines an unknown relative frequency and calculates the average time.

| time spent in minutes | Relative frequency (in %) |
| :--- | :---: |
| $90-105$ | 7,9 |
| $105-120$ | 19,4 |
| $120-135$ | 37,2 |
| $135-150$ | 16,3 |
| $150-165$ | 12,7 |
| $165-180$ | $?$ |