When exploring the k$-$means clustering of a dataset, you examine the projections of the first two principle components of the cluster ellipses for a certain number of clusters and you observe the following.

The major and minor axes of each of the ellipses are of distinctly different length.

The directions of major axes of the ellipses are distinctly different.

Which of the following statements is true?

Group of answer choices

The number of clusters chosen is too many for this dataset and should be reduced.

The clusters will exhibit a poor separation.

Clustering is not a useful method for this dataset.

The number of clusters chosen fits this dataset well.