Question
Abbas recorded the types of drinks some randomly-selected people purchased at a convenience
store over two days.
Drinks Sold
Sports Drinks Other Beverages
Day 1
30
20
Day 2
28
22
Which statement is best supported by the data Abbas gathered?
햠 On a day where 150 drinks are sold, exactly 60 will be sports drinks.
햡 On a day where 150 drinks are sold, about 60 will be sports drinks.
햢 On a day where 200 drinks are sold, exactly 120 will be sports drinks.
햣 On a day where 200 drinks are sold, about 120 will be sports drinks.
store over two days.
Drinks Sold
Sports Drinks Other Beverages
Day 1
30
20
Day 2
28
22
Which statement is best supported by the data Abbas gathered?
햠 On a day where 150 drinks are sold, exactly 60 will be sports drinks.
햡 On a day where 150 drinks are sold, about 60 will be sports drinks.
햢 On a day where 200 drinks are sold, exactly 120 will be sports drinks.
햣 On a day where 200 drinks are sold, about 120 will be sports drinks.
Answers
GPT-4o mini
To analyze the data Abbas collected, we can first calculate the proportion of sports drinks sold over the two days:
On Day 1:
- Total drinks sold = 30 (sports drinks) + 20 (other beverages) = 50
- Proportion of sports drinks = 30 / 50 = 0.6 (or 60%)
On Day 2:
- Total drinks sold = 28 (sports drinks) + 22 (other beverages) = 50
- Proportion of sports drinks = 28 / 50 = 0.56 (or 56%)
Now, if we average the proportions from both days, we find:
Average proportion of sports drinks = (0.6 + 0.56) / 2 = 0.58 (or 58%)
Now we can apply this average proportion to the two scenarios presented:
1. On a day where 150 drinks are sold:
- Estimated sports drinks = 0.58 * 150 = 87 (about 87 sports drinks)
2. On a day where 200 drinks are sold:
- Estimated sports drinks = 0.58 * 200 = 116 (about 116 sports drinks)
Now, let's evaluate each of the statements provided:
- **Statement A:** On a day where 150 drinks are sold, exactly 60 will be sports drinks. (Not supported, we estimated about 87.)
- **Statement B:** On a day where 150 drinks are sold, about 60 will be sports drinks. (Not supported, we estimated about 87.)
- **Statement C:** On a day where 200 drinks are sold, exactly 120 will be sports drinks. (Not supported, we estimated about 116.)
- **Statement D:** On a day where 200 drinks are sold, about 120 will be sports drinks. (Supported, as our estimate is close to 116.)
Thus, the statement best supported by the data Abbas gathered is:
**햣 On a day where 200 drinks are sold, about 120 will be sports drinks.**
On Day 1:
- Total drinks sold = 30 (sports drinks) + 20 (other beverages) = 50
- Proportion of sports drinks = 30 / 50 = 0.6 (or 60%)
On Day 2:
- Total drinks sold = 28 (sports drinks) + 22 (other beverages) = 50
- Proportion of sports drinks = 28 / 50 = 0.56 (or 56%)
Now, if we average the proportions from both days, we find:
Average proportion of sports drinks = (0.6 + 0.56) / 2 = 0.58 (or 58%)
Now we can apply this average proportion to the two scenarios presented:
1. On a day where 150 drinks are sold:
- Estimated sports drinks = 0.58 * 150 = 87 (about 87 sports drinks)
2. On a day where 200 drinks are sold:
- Estimated sports drinks = 0.58 * 200 = 116 (about 116 sports drinks)
Now, let's evaluate each of the statements provided:
- **Statement A:** On a day where 150 drinks are sold, exactly 60 will be sports drinks. (Not supported, we estimated about 87.)
- **Statement B:** On a day where 150 drinks are sold, about 60 will be sports drinks. (Not supported, we estimated about 87.)
- **Statement C:** On a day where 200 drinks are sold, exactly 120 will be sports drinks. (Not supported, we estimated about 116.)
- **Statement D:** On a day where 200 drinks are sold, about 120 will be sports drinks. (Supported, as our estimate is close to 116.)
Thus, the statement best supported by the data Abbas gathered is:
**햣 On a day where 200 drinks are sold, about 120 will be sports drinks.**