Model: nguyenhuucongzz01/stella_en_1.5B_fine_tuned
Author: nguyenhuucongzz01
Pipeline: sentence-similarity
Library: sentence-transformers
Tags: sentence-transformers, safetensors, sentence-similarity, feature-extraction, generated_from_trainer, dataset_size:8562, loss:CachedMultipleNegativesRankingLoss, arxiv:1908.10084, arxiv:2101.06983, base_model:NovaSearch/stella_en_1.5B_v5, base_model:finetune:NovaSearch/stella_en_1.5B_v5, model-index, endpoints_compatible, region:us
Base models (finetune): id: NovaSearch/stella_en_1.5B_v5
Card metadata: tags: sentence-transformers, sentence-similarity, feature-extraction, generated_from_trainer, dataset_size:8562, loss:CachedMultipleNegativesRankingLoss
base_model: NovaSearch/stella_en_1.5B_v5
widget: source_sentence: Subject: Sharing in a Ratio
Construct: Given information about one part, work out the whole
Question: The ratio of cars to vans in a car park is \( 5: 3 \)

If there are \( 80 \) cars, how many vehicles (cars and vans) are there in total?
CorrectAnswer: \( 128 \)
IncorrectAnswer: \( 83 \)
IncorrectReason: The correct answer is \( 128 \) because the ratio of cars to vans is \( 5:3 \). This means for every 5 cars, there are 3 vans. Given there are 80 cars, we can determine the number of vans by setting up a proportion. Since \( 5 \) parts correspond to \( 80 \) cars, each part corresponds to \( \frac{80}{5} = 16 \) cars. Therefore, the number of vans, which is \( 3 \) parts, is \( 3 \times 16 = 48 \) vans. The total number of vehicles is the sum of cars and vans, which is \( 80 + 48 = 128 \).

The incorrect answer \( 83 \) likely comes from a misunderstanding of how to apply the ratio. One might incorrectly assume that the total number of vehicles is simply the sum of the given number of cars and the number of vans directly derived from the ratio without properly scaling the ratio to match the given number of cars. For example, someone might incorrectly add \( 80 \) cars and \( 3 \) vans (thinking the ratio directly applies without scaling), leading to \( 83 \). This is a common misconception when dealing with ratios and proportions.
sentences: Thinks the number in the ratio is the total, Increases by the given percentage rather than finding the percentage of an amount, Thinks there are 50 weeks in a year, source_sentence: Subject: Indirect (Inverse) Proportion
Construct: Calculations using inverse proportion
Question: It takes 4 workers 6 days to paint a house. How many days would it take 3 workers?
CorrectAnswer: 8
IncorrectAnswer: 7
IncorrectReason: The correct answer is 8 days because the problem involves understanding the relationship between the number of workers and the time taken to complete a task. If 4 workers take 6 days to paint a house, the total work required can be thought of as 4 workers * 6 days = 24 worker-days. This means the total amount of work needed to paint the house is 24 worker-days. If you have 3 workers, the number of days required to complete the same amount of work would be 24 worker-days / 3 workers = 8 days.

The incorrect answer of 7 days likely stems from a common misconception about how work rates scale with the number of workers. Someone might incorrectly assume that reducing the number of workers from 4 to 3 would increase the time by a proportional amount, such as 6 days * (4/3) = 8 days, but then round down to 7 days due to a miscalculation or rounding error. This misunderstanding fails to account for the direct proportionality between the number of workers and the time required to complete the work.
sentences: When working with inverse and direct proportion, forgets to apply the root or index to find k, but remembers when doing the second calculation, Confuses the radius with the radius squared in the equation of a circle, Believes unrelated acute/obtuse angles in a diagram are supplementary, source_sentence: Subject: Experimental Probability and Relative Frequency
Construct: Compare relative frequencies in order to determine which prediction is likely to be more reliable
Question: A vegetarian restaurant wants to know people's eating habits
\( 50 \) people in Town \( A \) are asked if they eat meat. \begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{ Town A } \\
\hline Do you eat meat? & Frequency \\
\hline Yes & \( 39 \) \\
\hline No & \( 11 \) \\
\hline
\end{tabular} \( 200 \) people in Town B are asked if they eat meat. \begin{tabular}{|cc|}
\hline \multicolumn{2}{|c|}{ Town B } \\
\hline Do you eat meat? & Frequency \\
\hline Yes & \( 143 \) \\
\hline No & \( 57 \) \\
\hline
\end{tabular} Which results are more reliable?
CorrectAnswer: Town B
IncorrectAnswer: They are the same
IncorrectReason: The correct answer is Town B because the reliability of survey results generally increases with a larger sample size. In this case, Town B has a larger sample size of 200 people compared to Town A's 50 people. Larger samples tend to provide more accurate estimates of the population's eating habits, reducing the impact of random variation and providing a more reliable representation of the true population proportion.

The incorrect answer, "They are the same," is a misconception that assumes the reliability of survey results does not depend on the sample size. This misunderstanding ignores the statistical principle that larger samples generally yield more reliable estimates. The smaller sample size in Town A introduces more variability and potential bias, making the results less reliable compared to the larger sample in Town B.
sentences: Has considered the percentage rather than the percentage of the amount, Does not know that sample size affects reliability, Believes sets are the same if the elements within them have a shared property, source_sentence: Subject: Square Roots, Cube Roots, etc
Construct: Recognise other roots of numbers
Question: \( \sqrt[4]{16}=? \)
CorrectAnswer: \( 2 \)
IncorrectAnswer: \( 16 \)
IncorrectReason: The correct answer to the problem \( \sqrt[4]{16} \) is \( 2 \). This is because the fourth root of a number is the number that, when raised to the fourth power, gives the original number. In this case, \( 2^4 = 2 \times 2 \times 2 \times 2 = 16 \). Therefore, \( 2 \) is the correct answer as it satisfies the equation \( 2^4 = 16 \).

The incorrect answer \( 16 \) likely stems from a misunderstanding of what the fourth root operation means. Someone might have confused the fourth root with the fourth power, thinking that \( 16 \) raised to the fourth power equals \( 16 \), which is not true. The fourth power of \( 16 \) would be \( 16^4 = 65536 \), not \( 16 \). Thus, the misconception lies in confusing the operation of taking a root with raising a number to a power.
sentences: Confuses the use of LCM and HCF in real life examples , Estimated when not appropriate, Does not understand the root power of 4, source_sentence: Subject: Adding and Subtracting with Decimals
Construct: Subtract decimals where the numbers involved have a different number of decimal places
Question: \( 0.55-0.2= \)
CorrectAnswer: \( 0.35 \)
IncorrectAnswer: \( 0.33 \)
IncorrectReason: The correct answer to the problem \( 0.55 - 0.2 \) is \( 0.35 \). This is correct because when you subtract \( 0.2 \) from \( 0.55 \), you are essentially performing the operation \( 0.55 - 0.20 \). This can be visualized as \( 55 \) hundredths minus \( 20 \) hundredths, which equals \( 35 \) hundredths, or \( 0.35 \).

The incorrect answer \( 0.33 \) likely stems from a common misconception or a calculation error. One possible reason for this mistake is a misunderstanding of decimal subtraction or a misinterpretation of the place values. For example, someone might incorrectly think that \( 0.55 - 0.2 \) is the same as \( 0.55 - 0.22 \), leading to \( 0.33 \). Alternatively, the error could be due to a simple arithmetic mistake, such as not properly aligning the decimal points during the subtraction process. It's important to ensure that the decimal points are aligned correctly and to understand the value of each digit in the decimal places.
sentences: Does not know that 7 and -7 are different, When subtracting decimals with a different number of decimals, subtracts one digit from more than one column, Underestimates the area of shapes when counting squares when some squares are neither wholes nor halves
pipeline_tag: sentence-similarity
library_name: sentence-transformers
metrics: cosine_accuracy@25, cosine_precision@50, cosine_precision@100, cosine_precision@150, cosine_precision@200, cosine_recall@50, cosine_recall@100, cosine_recall@150, cosine_recall@200, cosine_ndcg@25, cosine_mrr@25, cosine_map@25
model-index: name: SentenceTransformer based on NovaSearch/stella_en_1.5B_v5
results: task: type: information-retrieval
name: Information Retrieval
dataset: name: val
type: val
metrics: type: cosine_accuracy@25
value: 0.7408256880733946
name: Cosine Accuracy@25
verified: no, type: cosine_precision@50
value: 0.01676605504587156
name: Cosine Precision@50
verified: no, type: cosine_precision@100
value: 0.00901376146788991
name: Cosine Precision@100
verified: no, type: cosine_precision@150
value: 0.006261467889908257
name: Cosine Precision@150
verified: no, type: cosine_precision@200
value: 0.0047993119266055055
name: Cosine Precision@200
verified: no, type: cosine_recall@50
value: 0.8371559633027523
name: Cosine Recall@50
verified: no, type: cosine_recall@100
value: 0.9002293577981652
name: Cosine Recall@100
verified: no, type: cosine_recall@150
value: 0.9380733944954128
name: Cosine Recall@150
verified: no, type: cosine_recall@200
value: 0.9587155963302753
name: Cosine Recall@200
verified: no, type: cosine_ndcg@25
value: 0.398580566924245
name: Cosine Ndcg@25
verified: no, type: cosine_mrr@25
value: 0.3016886474683388
name: Cosine Mrr@25
verified: no, type: cosine_map@25
value: 0.3016613429685574
name: Cosine Map@25
verified: no
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Created: 2025-05-22 11:43:44