Step 1: Abundance of major sedimentary rocks.
On average, the distribution of sedimentary rocks in the stratigraphic record is approximately:
- Shale (mudrocks): ~60%
- Sandstone: ~20–25%
- Limestone (carbonates): ~10–15%
- Conglomerate: Usually \(<1%\)
Step 2: Compare with options.
- Shale is the most abundant sedimentary rock.
- Sandstone and limestone are also common.
- Conglomerates are coarse-grained and form only in high-energy depositional environments (e.g., alluvial fans, braided rivers), hence are rare in the overall stratigraphic record.
Step 3: Conclusion.
Thus, the least abundant sedimentary rock is: \[ \boxed{\text{Conglomerate}} \]