Question
Katelyn’s biology test scores are shown below.
Biology Test Scores
A dot plot titled Biology Test Scores. The number line goes from 80 to 90. There are 0 dots above 80, 81, and 82, 1 above 83, 2 above 84, 2 above 85, 2 above 86, 2 above 87, 0 above 88 and 89, and 1 above 90.
Katelyn’s math test scores are shown below.
Math Test Scores
A dot plot titled Math Test Scores. The number line goes from 80 to 90. There are 0 dots above 80, 81, 82, and 83, 3 above 84, 2 above 85, 2 above 86, 3 above 87, 0 above 88, 89, and 90.
Katelyn says that her biology test scores are much higher than her math test scores. Based on the shape of the data, which explains whether Katelyn is correct?
Katelyn is correct because the score of 90 in biology is higher than any of her math scores.
Katelyn is correct because her biology scores have a much wider range than her math scores.
Katelyn is not correct because her score of 83 in biology is lower than any of her math scores.
Katelyn is not correct because the middle of the data is about the same for each plot.
Biology Test Scores
A dot plot titled Biology Test Scores. The number line goes from 80 to 90. There are 0 dots above 80, 81, and 82, 1 above 83, 2 above 84, 2 above 85, 2 above 86, 2 above 87, 0 above 88 and 89, and 1 above 90.
Katelyn’s math test scores are shown below.
Math Test Scores
A dot plot titled Math Test Scores. The number line goes from 80 to 90. There are 0 dots above 80, 81, 82, and 83, 3 above 84, 2 above 85, 2 above 86, 3 above 87, 0 above 88, 89, and 90.
Katelyn says that her biology test scores are much higher than her math test scores. Based on the shape of the data, which explains whether Katelyn is correct?
Katelyn is correct because the score of 90 in biology is higher than any of her math scores.
Katelyn is correct because her biology scores have a much wider range than her math scores.
Katelyn is not correct because her score of 83 in biology is lower than any of her math scores.
Katelyn is not correct because the middle of the data is about the same for each plot.
Answers
GPT-4o mini
To determine whether Katelyn is correct in her assessment that her biology test scores are much higher than her math test scores, we can analyze the provided information about both sets of scores.
1. **Biology Test Scores**:
- Scores: 83, 84, 84, 85, 85, 86, 86, 87, 87, 87, 87, 90
- The highest score is 90, with no scores between 88 and 89. The lowest scores are 83.
2. **Math Test Scores**:
- Scores: 84, 84, 84, 85, 86, 87, 87, 87
- The highest score is 87, while the lowest is 84.
### Evaluating Katelyn's Statements:
- **Statement**: Katelyn is correct because the score of 90 in biology is higher than any of her math scores.
- This statement is true (90 is higher than 87), but it doesn't account for the overall averages or distributions of scores.
- **Statement**: Katelyn is correct because her biology scores have a much wider range than her math scores.
- The range of biology scores (from 83 to 90) is indeed wider than that of math scores (from 84 to 87), so this statement holds some truth but is qualitative.
- **Statement**: Katelyn is not correct because her score of 83 in biology is lower than any of her math scores.
- This is true that 83 is lower than any math scores (which start at 84), but it ignores the higher scores in biology.
- **Statement**: Katelyn is not correct because the middle of the data is about the same for each plot.
- This statement could be considered true as the median for both subjects falls roughly within the same range (the middle scores for both subjects are in the mid-80s).
### Conclusion:
The most accurate response is that Katelyn is not correct because the overall performance in math does not match the higher peak score in biology, but the overall distributions reflect a similar central tendency.
Thus, the best answer is:
**Katelyn is not correct because the middle of the data is about the same for each plot.**
1. **Biology Test Scores**:
- Scores: 83, 84, 84, 85, 85, 86, 86, 87, 87, 87, 87, 90
- The highest score is 90, with no scores between 88 and 89. The lowest scores are 83.
2. **Math Test Scores**:
- Scores: 84, 84, 84, 85, 86, 87, 87, 87
- The highest score is 87, while the lowest is 84.
### Evaluating Katelyn's Statements:
- **Statement**: Katelyn is correct because the score of 90 in biology is higher than any of her math scores.
- This statement is true (90 is higher than 87), but it doesn't account for the overall averages or distributions of scores.
- **Statement**: Katelyn is correct because her biology scores have a much wider range than her math scores.
- The range of biology scores (from 83 to 90) is indeed wider than that of math scores (from 84 to 87), so this statement holds some truth but is qualitative.
- **Statement**: Katelyn is not correct because her score of 83 in biology is lower than any of her math scores.
- This is true that 83 is lower than any math scores (which start at 84), but it ignores the higher scores in biology.
- **Statement**: Katelyn is not correct because the middle of the data is about the same for each plot.
- This statement could be considered true as the median for both subjects falls roughly within the same range (the middle scores for both subjects are in the mid-80s).
### Conclusion:
The most accurate response is that Katelyn is not correct because the overall performance in math does not match the higher peak score in biology, but the overall distributions reflect a similar central tendency.
Thus, the best answer is:
**Katelyn is not correct because the middle of the data is about the same for each plot.**