Official Solution: Bunuel
The table shows 10 restaurants, whether they offered certain features, and the type of customer rating they received. Customer ratings are ranked in ascending order as follows:
poor, fair, good, excellent. | Restaurant | Outdoor seating | Home delivery | Kids’ menu | Live music | Customer rating |
| 1 | yes | no | yes | yes | excellent |
| 2 | yes | no | no | yes | good |
| 3 | yes | yes | yes | no | poor |
| 4 | no | yes | no | no | fair |
| 5 | no | yes | yes | yes | excellent |
| 6 | yes | yes | no | no | fair |
| 7 | no | no | yes | yes | good |
| 8 | yes | yes | yes | yes | excellent |
| 9 | no | no | no | yes | poor |
| 10 | yes | no | yes | no | good |
For each statement, select
Yes if it is consistent with the information given. Otherwise, select
No.
• Among the restaurants that offered live music, at least one received each rating except “fair.” Restaurants with both home delivery and a kids’ menu are 3 (poor), 5 (excellent), and 8 (excellent). Their ratings are poor or excellent, none are fair or good, so the condition is satisfied.
Answer:
Yes • All restaurants that lacked both outdoor seating and home delivery received ratings no higher than “good.” No outdoor seating and no delivery = Restaurants 7 (good) and 9 (poor). Ratings are poor and good, both no higher than good.
Answer:
Yes • Among the restaurants with outdoor seating, the median customer rating is higher than the median rating among the restaurants without outdoor seating. With outdoor seating = 1 (excellent), 2 (good), 3 (poor), 6 (fair), 8 (excellent), 10 (good). Sorted: poor, fair, good, good, excellent, excellent. Median = between good and good = good.
Without outdoor seating = 4 (fair), 5 (excellent), 7 (good), 9 (poor). Sorted: poor, fair, good, excellent. Median = between fair and good. That is between “fair” and “good,” which falls lower than “good.” So the with-seating median is higher.
Answer:
YesCorrect answer: Every restaurant that offered both home delivery and a kids’ menu received a rating of either poor or excellent, but not fair or good.
"Yes"All restaurants that lacked both outdoor seating and home delivery received ratings no higher than “good.”
"Yes"Among the restaurants with outdoor seating, the median customer rating is higher than the median rating among the restaurants without outdoor seating.
"Yes"