Concept:
Asexual reproduction involves the formation of offspring from a single parent without the involvement of gamete formation or fertilization. It results in genetically identical offspring.
Step 1: Analyze Statement I.
In asexual reproduction, there is no meiosis or fusion of gametes. Hence, the chromosome number (ploidy) remains unchanged from parent to offspring.
\[
\text{Parent (2n)} \rightarrow \text{Offspring (2n)}
\]
Thus, the progeny has identical ploidy as the parent.
Statement I is correct.
Step 2: Analyze Statement II.
Since there is no genetic variation involved, the offspring produced are genetically identical copies of the parent. Such identical individuals are called clones.
\[
\text{Genetically identical individuals} = \text{Clones}
\]
Thus, the progeny is referred to as a clone.
Statement II is correct.
Step 3: Conclusion.
Both statements are correct, hence:
\[
\text{Both statement I and statement II are correct}
\]