Difference when calculating with average cost.

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Calculating average. So why am I seeing difference in the value retrieved using below example?

5 Apples at $\$7.00 = 35$

10 Apples at $\$9.00= 90$

14 Apples at $\$5.00 = 70$

So calculating normally I paid $\$195.00$ for $29$ Apples, but if I calculate by average price $\$\frac{7+9+5}3 \times 29=\$203$

Why is there a $\$8$ difference? Thanks!