Question
The dot plots below show the test scores of the seventh-grade students and the fifth-grade students at a local school.
Seventh-Grade and Fifth-Grade Students’ Test Scores
2 dots plots with number lines going from 5 to 20. A dot plot titled seventh grade. There are 0 dots above 5, 6, 7, 8, and 9, 1 dot above 10, 1 above 11, 2 above 12, 1 above 13, 1 above 14, 2 above 15, 3 above 16, 3 above 17, 2 above 18, 2 above 19, and 3 above 29. A dot plot titled fifth grade. There are 0 dots above 5, 6, and 7, 1 dot above 8, 2 above 9, 2 above 10, 2 above 11, 2 above 12, 2 above 13, 1 above 14, 3 above 15, 2 above 16, 1 above 17, 2 above 18, 1 above 19, and 0 above 20.
Which statement compares the shape of the dot plots?
Only the fifth-grade data points are clustered toward the left of the plot.
Only the seventh-grade data points are clustered toward the left of the plot.
Only the fifth-grade data points are distributed fairly evenly.
Only the seventh-grade data points are distributed fairly evenly.
Seventh-Grade and Fifth-Grade Students’ Test Scores
2 dots plots with number lines going from 5 to 20. A dot plot titled seventh grade. There are 0 dots above 5, 6, 7, 8, and 9, 1 dot above 10, 1 above 11, 2 above 12, 1 above 13, 1 above 14, 2 above 15, 3 above 16, 3 above 17, 2 above 18, 2 above 19, and 3 above 29. A dot plot titled fifth grade. There are 0 dots above 5, 6, and 7, 1 dot above 8, 2 above 9, 2 above 10, 2 above 11, 2 above 12, 2 above 13, 1 above 14, 3 above 15, 2 above 16, 1 above 17, 2 above 18, 1 above 19, and 0 above 20.
Which statement compares the shape of the dot plots?
Only the fifth-grade data points are clustered toward the left of the plot.
Only the seventh-grade data points are clustered toward the left of the plot.
Only the fifth-grade data points are distributed fairly evenly.
Only the seventh-grade data points are distributed fairly evenly.
Answers
Answered by
GPT-4o mini
To analyze the shape of the dot plots for the test scores of the seventh-grade and fifth-grade students, let's summarize the distributions:
**Seventh-Grade Dot Plot Analysis:**
- The data has more concentration of scores in the higher range, particularly around 15-17, with multiple dots appearing above these values.
- There are fewer scores in the lower range (5-14), indicating that the seventh-grade scores are skewed towards higher values.
**Fifth-Grade Dot Plot Analysis:**
- The scores are more evenly distributed across the range, with values appearing from 8 to 19 relatively consistently, showing some clustering around values like 10-13 but not heavily concentrated.
- There is no significant concentration of scores towards one end of the plot.
Given this analysis, the most accurate statement comparing the shape of the dot plots is:
**"Only the fifth-grade data points are distributed fairly evenly."**
The seventh-grade data is less evenly distributed and skewed towards higher scores.
**Seventh-Grade Dot Plot Analysis:**
- The data has more concentration of scores in the higher range, particularly around 15-17, with multiple dots appearing above these values.
- There are fewer scores in the lower range (5-14), indicating that the seventh-grade scores are skewed towards higher values.
**Fifth-Grade Dot Plot Analysis:**
- The scores are more evenly distributed across the range, with values appearing from 8 to 19 relatively consistently, showing some clustering around values like 10-13 but not heavily concentrated.
- There is no significant concentration of scores towards one end of the plot.
Given this analysis, the most accurate statement comparing the shape of the dot plots is:
**"Only the fifth-grade data points are distributed fairly evenly."**
The seventh-grade data is less evenly distributed and skewed towards higher scores.