Question
The stem-and-leaf plot below gives the gas mileages (in miles per gallon) for 18 new cars. Use the plot to answer the questions that follow.
Gas mileage (miles per gallon)
1 | 9 9
2 | 3 4
3 | 0 0 0 2 3 6 7
4 | 2 3 7
5 | 0 0 4 7
Key: 1|9 means a gas mileage of 19.
How many cars have a gas mileage in the (a) 305?
(b) What is the lowest gas mileage overall?
(c) What is the lowest gas mileage in the 20s?
Gas mileage (miles per gallon)
1 | 9 9
2 | 3 4
3 | 0 0 0 2 3 6 7
4 | 2 3 7
5 | 0 0 4 7
Key: 1|9 means a gas mileage of 19.
How many cars have a gas mileage in the (a) 305?
(b) What is the lowest gas mileage overall?
(c) What is the lowest gas mileage in the 20s?
Answers
GPT-4o mini
Let's interpret the stem-and-leaf plot for the gas mileages.
The stem represents the tens place, and the leaves represent the units place.
From the stem-and-leaf plot:
- **1 | 9 9** indicates 19, 19
- **2 | 3 4** indicates 23, 24
- **3 | 0 0 0 2 3 6 7** indicates 30, 30, 30, 32, 33, 36, 37
- **4 | 2 3 7** indicates 42, 43, 47
- **5 | 0 0 4 7** indicates 50, 50, 54, 57
Now, let's answer the questions:
(a) **How many cars have a gas mileage of 305?**
- From the plot, there are no values in the 300s that indicate a mileage of 305 (the closest are 30, but they don’t reach 305). Thus, **0 cars have a gas mileage of 305.**
(b) **What is the lowest gas mileage overall?**
- From the values listed: 19, 19, 23, 24, 30, 30, 30, 32, 33, 36, 37, 42, 43, 47, 50, 50, 54, 57. The lowest gas mileage is **19 miles per gallon.**
(c) **What is the lowest gas mileage in the 20s?**
- From the values in the 20s: 23, 24. The lowest gas mileage in the 20s is **23 miles per gallon.**
The stem represents the tens place, and the leaves represent the units place.
From the stem-and-leaf plot:
- **1 | 9 9** indicates 19, 19
- **2 | 3 4** indicates 23, 24
- **3 | 0 0 0 2 3 6 7** indicates 30, 30, 30, 32, 33, 36, 37
- **4 | 2 3 7** indicates 42, 43, 47
- **5 | 0 0 4 7** indicates 50, 50, 54, 57
Now, let's answer the questions:
(a) **How many cars have a gas mileage of 305?**
- From the plot, there are no values in the 300s that indicate a mileage of 305 (the closest are 30, but they don’t reach 305). Thus, **0 cars have a gas mileage of 305.**
(b) **What is the lowest gas mileage overall?**
- From the values listed: 19, 19, 23, 24, 30, 30, 30, 32, 33, 36, 37, 42, 43, 47, 50, 50, 54, 57. The lowest gas mileage is **19 miles per gallon.**
(c) **What is the lowest gas mileage in the 20s?**
- From the values in the 20s: 23, 24. The lowest gas mileage in the 20s is **23 miles per gallon.**
A is not correct
GPT-4o mini
Let's revisit part (a) and clarify the interpretation based on the stem-and-leaf plot provided.
From the plot, we note the following values representing gas mileage:
- **1 | 9 9** corresponds to: 19, 19
- **2 | 3 4** corresponds to: 23, 24
- **3 | 0 0 0 2 3 6 7** corresponds to: 30, 30, 30, 32, 33, 36, 37
- **4 | 2 3 7** corresponds to: 42, 43, 47
- **5 | 0 0 4 7** corresponds to: 50, 50, 54, 57
Regarding question (a):
**How many cars have a gas mileage of 305?**
The mileage "305" can be broken down into its tens and units like this:
- **Stem:** 30 (which corresponds to 30s)
- **Leaf:** 5 (which means it would correspond to 305)
From the stem-and-leaf plot, we see that we only have gas mileages in the 30s as follows: 30, 30, 30, 32, 33, 36, 37. There are no values that indicate a mileage of 305.
Hence, **the correct answer remains that there are 0 cars with a gas mileage of 305.**
If there's a specific detail you're referring to or if the context clarifies that 305 should appear differently, please let me know! Otherwise, based on the information provided and the values extracted from the stem-and-leaf plot, this would remain accurate.
From the plot, we note the following values representing gas mileage:
- **1 | 9 9** corresponds to: 19, 19
- **2 | 3 4** corresponds to: 23, 24
- **3 | 0 0 0 2 3 6 7** corresponds to: 30, 30, 30, 32, 33, 36, 37
- **4 | 2 3 7** corresponds to: 42, 43, 47
- **5 | 0 0 4 7** corresponds to: 50, 50, 54, 57
Regarding question (a):
**How many cars have a gas mileage of 305?**
The mileage "305" can be broken down into its tens and units like this:
- **Stem:** 30 (which corresponds to 30s)
- **Leaf:** 5 (which means it would correspond to 305)
From the stem-and-leaf plot, we see that we only have gas mileages in the 30s as follows: 30, 30, 30, 32, 33, 36, 37. There are no values that indicate a mileage of 305.
Hence, **the correct answer remains that there are 0 cars with a gas mileage of 305.**
If there's a specific detail you're referring to or if the context clarifies that 305 should appear differently, please let me know! Otherwise, based on the information provided and the values extracted from the stem-and-leaf plot, this would remain accurate.
I can’t put that in because it’s not right. 0 is not the correct answer
GPT-4o mini
Apologies for the misunderstanding! Let's clarify the query regarding the 305 mileage.
In the context of stem-and-leaf plots, typically, values are reported in the notation of the stem (the tens place) and the leaves (the units).
When looking for a gas mileage of **305**, it would be represented as:
**3 | 0** -> This means **30** (which is part of the 30s range).
However, since we see that there is **no leaf for "5" after the stem "3"**, it indicates that **305 is not represented.**
But on careful inspection, if I misunderstood your request and you are looking for car mileage in the range of "30 or slightly above" instead of "exactly 305," please clarify.
In conclusion, given the provided values from the stem-and-leaf:
- **0 cars have a gas mileage of exactly 305 miles per gallon.**
If you meant something else regarding the mileage or accidentally referred to 305 rather than a value already present in the stem-and-leaf, please correct that. I'm here to help clarify!
In the context of stem-and-leaf plots, typically, values are reported in the notation of the stem (the tens place) and the leaves (the units).
When looking for a gas mileage of **305**, it would be represented as:
**3 | 0** -> This means **30** (which is part of the 30s range).
However, since we see that there is **no leaf for "5" after the stem "3"**, it indicates that **305 is not represented.**
But on careful inspection, if I misunderstood your request and you are looking for car mileage in the range of "30 or slightly above" instead of "exactly 305," please clarify.
In conclusion, given the provided values from the stem-and-leaf:
- **0 cars have a gas mileage of exactly 305 miles per gallon.**
If you meant something else regarding the mileage or accidentally referred to 305 rather than a value already present in the stem-and-leaf, please correct that. I'm here to help clarify!