The mean and variance of the data \( 4,5,6,6,7,8, x, y \), where \( xy \), are 6 and \( \frac{9}...

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The mean and variance of the data \( 4,5,6,6,7,8, x, y \), where \( xy \), are 6 and \( \frac{9}{4} \) respectively. Then \( x^{4}+y^{2} \) is equal to
- (a) 162
(b) 320
- (c) 674
(d) 420
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