Question
The amount of water that the girls on the basketball and soccer teams drink during one practice session is recorded in the dot plots.
Select from the drop-down menu to correctly complete the statement.
The median ounces of water drank on the basketball team was about
What amount of ounces less than
the median ounces of water drank on the soccer team.
Two horizontal line plots from 8 to 96 in increment of 8 shows the values of basket ball and soccer team as dot marks above the line labeled as Ounces of water. For Basketball Team, one dot marks above 16. Three dot marks above 24. Three dot marks above 32. Three dot marks above 40. Four dot marks above 48. Two dot marks above 56. For Soccer Team, two dot marks above 64. Six dot marks above 72. Four dot marks above 80. Three dot marks above 88. One dot marks above 96.
Select from the drop-down menu to correctly complete the statement.
The median ounces of water drank on the basketball team was about
What amount of ounces less than
the median ounces of water drank on the soccer team.
Two horizontal line plots from 8 to 96 in increment of 8 shows the values of basket ball and soccer team as dot marks above the line labeled as Ounces of water. For Basketball Team, one dot marks above 16. Three dot marks above 24. Three dot marks above 32. Three dot marks above 40. Four dot marks above 48. Two dot marks above 56. For Soccer Team, two dot marks above 64. Six dot marks above 72. Four dot marks above 80. Three dot marks above 88. One dot marks above 96.
Answers
GPT-4o mini
To determine the median ounces of water consumed by the basketball and soccer teams based on the given dot plots, let's summarize the data for each team:
**Basketball Team:**
- 1 dot at 16 ounces
- 3 dots at 24 ounces
- 3 dots at 32 ounces
- 3 dots at 40 ounces
- 4 dots at 48 ounces
- 2 dots at 56 ounces
This gives us the following data set:
- 16, 24, 24, 24, 32, 32, 32, 40, 40, 40, 48, 48, 48, 48, 56, 56
To find the median:
1. Count the total number of data points: \(1 + 3 + 3 + 3 + 4 + 2 = 16\) (there are 16 data points).
2. Since the number of data points is even, the median is the average of the 8th and 9th values when the dataset is arranged in order.
Arranging the data:
16, 24, 24, 24, 32, 32, 32, 40, 40, 40, 48, 48, 48, 48, 56, 56
The 8th and 9th values are 40 and 40. Thus:
- Median for Basketball Team = \( \frac{40 + 40}{2} = 40\) ounces.
**Soccer Team:**
- 2 dots at 64 ounces
- 6 dots at 72 ounces
- 4 dots at 80 ounces
- 3 dots at 88 ounces
- 1 dot at 96 ounces
This gives us the following data set:
- 64, 64, 72, 72, 72, 72, 72, 72, 80, 80, 80, 88, 88, 88, 96
To find the median:
1. Count the total number of data points: \(2 + 6 + 4 + 3 + 1 = 16\) (there are 16 data points).
2. The 8th and 9th values in order:
Arranging the data:
64, 64, 72, 72, 72, 72, 72, 72, 80, 80, 80, 88, 88, 88, 96
The 8th and 9th values are 72 and 80. Thus:
- Median for Soccer Team = \( \frac{72 + 80}{2} = 76\) ounces.
**Calculating the difference:**
The median ounces of water drank on the basketball team (40 ounces) is about:
- \(76 - 40 = 36\) ounces less than the median ounces of water drank on the soccer team.
**Final Statement:**
The median ounces of water drank on the basketball team was about **36** ounces less than the median ounces of water drank on the soccer team.
**Basketball Team:**
- 1 dot at 16 ounces
- 3 dots at 24 ounces
- 3 dots at 32 ounces
- 3 dots at 40 ounces
- 4 dots at 48 ounces
- 2 dots at 56 ounces
This gives us the following data set:
- 16, 24, 24, 24, 32, 32, 32, 40, 40, 40, 48, 48, 48, 48, 56, 56
To find the median:
1. Count the total number of data points: \(1 + 3 + 3 + 3 + 4 + 2 = 16\) (there are 16 data points).
2. Since the number of data points is even, the median is the average of the 8th and 9th values when the dataset is arranged in order.
Arranging the data:
16, 24, 24, 24, 32, 32, 32, 40, 40, 40, 48, 48, 48, 48, 56, 56
The 8th and 9th values are 40 and 40. Thus:
- Median for Basketball Team = \( \frac{40 + 40}{2} = 40\) ounces.
**Soccer Team:**
- 2 dots at 64 ounces
- 6 dots at 72 ounces
- 4 dots at 80 ounces
- 3 dots at 88 ounces
- 1 dot at 96 ounces
This gives us the following data set:
- 64, 64, 72, 72, 72, 72, 72, 72, 80, 80, 80, 88, 88, 88, 96
To find the median:
1. Count the total number of data points: \(2 + 6 + 4 + 3 + 1 = 16\) (there are 16 data points).
2. The 8th and 9th values in order:
Arranging the data:
64, 64, 72, 72, 72, 72, 72, 72, 80, 80, 80, 88, 88, 88, 96
The 8th and 9th values are 72 and 80. Thus:
- Median for Soccer Team = \( \frac{72 + 80}{2} = 76\) ounces.
**Calculating the difference:**
The median ounces of water drank on the basketball team (40 ounces) is about:
- \(76 - 40 = 36\) ounces less than the median ounces of water drank on the soccer team.
**Final Statement:**
The median ounces of water drank on the basketball team was about **36** ounces less than the median ounces of water drank on the soccer team.