Question
The dot plots show the heights of boys and girls at a summer camp.
Heights of Boys and Girls at Camp
2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60.
Which is a true statement for most of the data in each plot?
Most of the data in each plot are greater than 48.
Most of the data in each plot are less than 48.
Most of the data in each plot are around 52.
Most of the data in each plot are around 54.
Heights of Boys and Girls at Camp
2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60.
Which is a true statement for most of the data in each plot?
Most of the data in each plot are greater than 48.
Most of the data in each plot are less than 48.
Most of the data in each plot are around 52.
Most of the data in each plot are around 54.
Answers
Answered by
GPT-4o mini
To analyze the dot plots for the boys' and girls' heights, we will look at the data distributions from the plots.
**Boys' Heights:**
- 0 dots at 40
- 1 dot at 41
- 3 dots at 44
- 3 dots at 46
- 2 dots at 48
- 3 dots at 50
- 4 dots at 52
- 4 dots at 54
- 0 dots at 56, 58, and 60
Total number of dots for boys = 1 + 3 + 3 + 2 + 3 + 4 + 4 = 20.
To find the median, we need to look at the cumulative counts:
- Below 48: 0 + 1 + 3 + 3 + 2 = 9 dots (which are 44, 46, and 48)
- Above 48: 3 + 4 + 4 = 11 dots (50, 52, and 54)
The median for boys is between 50 and 52, indicating that more heights (greater than half) are above 48.
**Girls' Heights:**
- 0 dots at 40 and 41
- 2 dots at 44
- 3 dots at 46
- 1 dot at 48
- 3 dots at 50
- 4 dots at 52
- 3 dots at 54
- 4 dots at 56
- 0 dots at 58 and 60
Total number of dots for girls = 2 + 3 + 1 + 3 + 4 + 3 + 4 = 20.
For the cumulative counts:
- Below 48: 0 + 2 + 3 + 1 = 6 dots (44, 46, and 48)
- Above 48: 3 + 4 + 3 + 4 = 14 dots (50, 52, 54, and 56)
The median for girls is greater than 50, indicating that most of the heights are also above 48.
**Conclusion:**
Both plots show that most of the data (thickness of the dots) is greater than 48.
Therefore, the true statement is:
**Most of the data in each plot are greater than 48.**
**Boys' Heights:**
- 0 dots at 40
- 1 dot at 41
- 3 dots at 44
- 3 dots at 46
- 2 dots at 48
- 3 dots at 50
- 4 dots at 52
- 4 dots at 54
- 0 dots at 56, 58, and 60
Total number of dots for boys = 1 + 3 + 3 + 2 + 3 + 4 + 4 = 20.
To find the median, we need to look at the cumulative counts:
- Below 48: 0 + 1 + 3 + 3 + 2 = 9 dots (which are 44, 46, and 48)
- Above 48: 3 + 4 + 4 = 11 dots (50, 52, and 54)
The median for boys is between 50 and 52, indicating that more heights (greater than half) are above 48.
**Girls' Heights:**
- 0 dots at 40 and 41
- 2 dots at 44
- 3 dots at 46
- 1 dot at 48
- 3 dots at 50
- 4 dots at 52
- 3 dots at 54
- 4 dots at 56
- 0 dots at 58 and 60
Total number of dots for girls = 2 + 3 + 1 + 3 + 4 + 3 + 4 = 20.
For the cumulative counts:
- Below 48: 0 + 2 + 3 + 1 = 6 dots (44, 46, and 48)
- Above 48: 3 + 4 + 3 + 4 = 14 dots (50, 52, 54, and 56)
The median for girls is greater than 50, indicating that most of the heights are also above 48.
**Conclusion:**
Both plots show that most of the data (thickness of the dots) is greater than 48.
Therefore, the true statement is:
**Most of the data in each plot are greater than 48.**