\n ## Bar Chart: Pass Rate vs. Mid-training Tokens ### Overview This image presents a bar chart illustrating the relationship between the "Mid-training tokens" and the corresponding "Pass Rate (%)". The chart displays three data points, each representing a different number of mid-training tokens (50B, 100B, and 150B) and their associated pass rates. ### Components/Axes * **X-axis:** Labeled "Mid-training tokens". The axis has three markers: 50B, 100B, and 150B. * **Y-axis:** Labeled "Pass Rate (%)". The axis ranges from approximately 26% to 38%, with horizontal dashed lines indicating increments of 2%. * **Bars:** Three light blue bars representing the pass rates for each mid-training token value. Each bar is labeled with its corresponding pass rate value. ### Detailed Analysis The chart shows a clear upward trend in pass rate as the number of mid-training tokens increases. * **50B Tokens:** The bar for 50B tokens reaches approximately 28.6% on the Y-axis. * **100B Tokens:** The bar for 100B tokens reaches approximately 32.6% on the Y-axis. * **150B Tokens:** The bar for 150B tokens reaches approximately 36.6% on the Y-axis. ### Key Observations The pass rate increases consistently with the increase in mid-training tokens. The difference in pass rate between 50B and 100B tokens is approximately 4% (32.6 - 28.6 = 4). The difference between 100B and 150B tokens is also approximately 4% (36.6 - 32.6 = 4). ### Interpretation The data suggests a positive correlation between the number of mid-training tokens and the pass rate. This indicates that increasing the number of mid-training tokens during the training process leads to improved performance, as measured by the pass rate. The consistent increase of approximately 4% for each 50B increment in mid-training tokens suggests a relatively linear relationship within the observed range. This could be due to the model having more opportunities to learn and refine its parameters with more training data (tokens). The chart implies that further increasing the number of mid-training tokens might continue to improve the pass rate, although the rate of improvement may diminish at some point.