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.
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The median ounces of water drank on the basketball team was about
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the median ounces of water drank on the soccer team.
Two horizontal line plots ranges 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 8. One dot marks above 16. Two dot marks above 24. Three dot marks above 32. Four dot marks above 48. One dot marks above 64. For Soccer Team, one dot marks above 32. One dot marks above 48. Two dot marks above 64. Two dot marks above 72. Four dot marks above 80. One dot marks above 88. One dot marks above 96.
a 30 oz less than
b 45 oz less than
c the same as
d 30 oz more than
e 45 oz more than
Select from the drop-down menu to correctly complete the statement.
Need help? Watch this!
The median ounces of water drank on the basketball team was about
Choose...
the median ounces of water drank on the soccer team.
Two horizontal line plots ranges 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 8. One dot marks above 16. Two dot marks above 24. Three dot marks above 32. Four dot marks above 48. One dot marks above 64. For Soccer Team, one dot marks above 32. One dot marks above 48. Two dot marks above 64. Two dot marks above 72. Four dot marks above 80. One dot marks above 88. One dot marks above 96.
a 30 oz less than
b 45 oz less than
c the same as
d 30 oz more than
e 45 oz more than
Answers
GPT-4o mini
To determine the median ounces of water consumed by both the basketball and soccer teams based on the provided dot plots, we need to find the middle value of each distribution.
For the **Basketball Team**, the data points from the dot plot are:
- 8 (1 dot)
- 16 (1 dot)
- 24 (2 dots)
- 32 (3 dots)
- 48 (4 dots)
- 64 (1 dot)
Listing them out:
8, 16, 24, 24, 32, 32, 32, 48, 48, 48, 48, 64
There are 12 data points. The median will be the average of the 6th and 7th values:
- 6th = 32
- 7th = 32
So, the median for the basketball team is:
\[
\text{Median (Basketball Team)} = 32
\]
For the **Soccer Team**, the data points from the dot plot are:
- 32 (1 dot)
- 48 (1 dot)
- 64 (2 dots)
- 72 (2 dots)
- 80 (4 dots)
- 88 (1 dot)
- 96 (1 dot)
Listing them out:
32, 48, 64, 64, 72, 80, 80, 80, 80, 88, 96
There are 11 data points, so the median will be the 6th value:
\[
\text{Median (Soccer Team)} = 80
\]
Now we have:
- Median (Basketball Team) = 32 ounces
- Median (Soccer Team) = 80 ounces
Now, we can relate the medians:
32 ounces is **45 ounces less than** 80 ounces.
Therefore, the correct completion of the statement is:
"The median ounces of water drank on the basketball team was about **45 oz less than** the median ounces of water drank on the soccer team."
So the answer is:
**b 45 oz less than**
For the **Basketball Team**, the data points from the dot plot are:
- 8 (1 dot)
- 16 (1 dot)
- 24 (2 dots)
- 32 (3 dots)
- 48 (4 dots)
- 64 (1 dot)
Listing them out:
8, 16, 24, 24, 32, 32, 32, 48, 48, 48, 48, 64
There are 12 data points. The median will be the average of the 6th and 7th values:
- 6th = 32
- 7th = 32
So, the median for the basketball team is:
\[
\text{Median (Basketball Team)} = 32
\]
For the **Soccer Team**, the data points from the dot plot are:
- 32 (1 dot)
- 48 (1 dot)
- 64 (2 dots)
- 72 (2 dots)
- 80 (4 dots)
- 88 (1 dot)
- 96 (1 dot)
Listing them out:
32, 48, 64, 64, 72, 80, 80, 80, 80, 88, 96
There are 11 data points, so the median will be the 6th value:
\[
\text{Median (Soccer Team)} = 80
\]
Now we have:
- Median (Basketball Team) = 32 ounces
- Median (Soccer Team) = 80 ounces
Now, we can relate the medians:
32 ounces is **45 ounces less than** 80 ounces.
Therefore, the correct completion of the statement is:
"The median ounces of water drank on the basketball team was about **45 oz less than** the median ounces of water drank on the soccer team."
So the answer is:
**b 45 oz less than**