Comparing means. Game on.

The original mean is $\dfrac{82 + 75 + 90 + 85 + 68}{5} = 80$. The set $70\textsf{,}$ $75\textsf{,}$ $80\textsf{,}$ $85\textsf{,}$ $90$ also has mean $80$, so the means match.

The original mean is $\dfrac{18 + 22 + 30 + 20 + 35}{5} = 25$. The set $15\textsf{,}$ $20\textsf{,}$ $25\textsf{,}$ $30\textsf{,}$ $35$ also has mean $25$, so the means match.

The original mean is $\dfrac{68 + 72 + 65 + 74 + 71}{5} = 70$. The set $66\textsf{,}$ $68\textsf{,}$ $70\textsf{,}$ $72\textsf{,}$ $74$ also has mean $70$, so the means match.

The original mean is $\dfrac{6 + 8 + 12 + 9 + 14 + 7 + 14}{7} = 10$. The set $4\textsf{,}$ $6\textsf{,}$ $8\textsf{,}$ $10\textsf{,}$ $12\textsf{,}$ $14\textsf{,}$ $16$ also has mean $10$, so the means match.

The original mean is $\dfrac{14 + 18 + 10 + 20 + 12 + 15 + 23}{7} = 16$. The set $10\textsf{,}$ $12\textsf{,}$ $14\textsf{,}$ $16\textsf{,}$ $18\textsf{,}$ $20\textsf{,}$ $22$ also has mean $16$, so the means match.

The original mean is $\dfrac{10 + 16 + 14 + 8 + 13 + 15 + 8}{7} = 12$. The set $6\textsf{,}$ $8\textsf{,}$ $10\textsf{,}$ $12\textsf{,}$ $14\textsf{,}$ $16\textsf{,}$ $18$ also has mean $12$, so the means match.

The original mean is $\dfrac{70 + 75 + 88 + 85 + 90 + 65 + 87}{7} = 80$. The set $65\textsf{,}$ $70\textsf{,}$ $75\textsf{,}$ $80\textsf{,}$ $85\textsf{,}$ $90\textsf{,}$ $95$ also has mean $80$, so the means match.

The original mean is $\dfrac{62 + 64 + 66 + 75 + 70 + 72 + 67}{7} = 68$. The set $60\textsf{,}$ $64\textsf{,}$ $66\textsf{,}$ $68\textsf{,}$ $70\textsf{,}$ $72\textsf{,}$ $76$ also has mean $68$, so the means match.