1. The problem asks to estimate the number of rings containing between 1.6 g and 3 g of gold using the histogram data. 2. From the histogram, the frequency density at 2 g is about 50 and at 3 g is about 75. The bars represent frequency density over intervals of 1 g each. 3. The interval from 1.6 g to 3 g spans part of the 1-2 g bar and the entire 2-3 g bar. 4. For the 1-2 g interval, the frequency density is about 10. The length of the sub-interval from 1.6 to 2 is $2 - 1.6 = 0.4$ g. 5. Estimated frequency for 1.6 to 2 g is frequency density $\times$ width $= 10 \times 0.4 = 4$ rings. 6. For the 2-3 g interval, frequency density is about 50. The width is $3 - 2 = 1$ g. 7. Estimated frequency for 2 to 3 g is $50 \times 1 = 50$ rings. 8. Total estimated number of rings between 1.6 g and 3 g is $4 + 50 = 54$ rings. 9. This is only an estimate because the histogram groups data into intervals and assumes uniform distribution within each interval, which may not be accurate. 10. Also, the exact values within intervals are unknown, so the estimate may differ from the true count.