Bunuel
The table lists data on each of 7 hiking trails managed by a regional park authority. For each trail, the terrain type refers to the primary surface of the trail, the average hike time is the mean (arithmetic mean) number of minutes taken by hikers to complete it, the satisfaction score is the average (arithmetic mean) rating out of 100 reported by visitors, and the usage rank is the trail’s ranking based on total visitors, where a smaller number denotes higher usage.
| Trail | Terrain type | Average hike time (min) | Satisfaction score | Usage rank |
|---|
| Aspen Loop | forest | 92 | 83 | 3 |
| Granite Path | rocky | 105 | 91 | 2 |
| Riverwalk | gravel | 88 | 72 | 6 |
| Summit Ridge | rocky | 117 | 95 | 1 |
| Willow Creek | forest | 84 | 79 | 4 |
| Sandy Dunes | sand | 78 | 69 | 7 |
| Canyon Bend | gravel | 95 | 81 | 5 |
For each of the following statements about this data, select
Yes if the statement can be inferred from the given information. Otherwise, select
No.Let’s answer the questions one by one :
Question 1 : Trails with rocky terrain have, on average, higher satisfaction scores than those with forest terrain.
Trails that have
rocky terrain are as follows with their satisfaction scores.
Granite Path ( Satisfaction score = 91 ) , Summit Ridge (Satisfaction score = 95).
Average should be roughly between 91 and 95. Exactly 93.
Trails that have
forest terrain are as follows with their satisfaction scores.
Willow creek ( satisfaction score : 79) , Aspen Loop ( Satisfaction score : 83).
The average score is roughly between 79 and 83. Exactly 81.
Clearly, Rocky terrain average 93 is
GREATER than the Forest terrain average 81. Hence,
YES.
Question 2: No gravel trail ranks among the three most-used trails.
The three most used trails are : 1) Summit ridge ( rocky ) , 2) Granite path ( rocky) , 3) Aspen loop ( forest).
Thus, it’s clear that gravel trail don’t occupy the three most used ranks. Hence,
YES.
Question 3: Among the trails with above-average hike times, the one with the lowest satisfaction score is also the least used overall.
First let’s find the average hike time for all the trails mentioned. Average hike time is between 92 and 95, as the values are not spread out.
Exact average hike time = (78+84+88+92+95+105+117)/7 is approx 94.5
Trails above the average are given with their satisfaction score, usage ranks :
Canyon Bend (SS : 81, UR : 5)
Granite path ( SS: 91, UR: 2)
Summit Ridge (SS : 95, UR 1).
The one with the lowest satisfaction score is Canyon Bend (81), with a usage rank of 5 - which is below the usage rank of 7. Hence,
NO.