Geometric mean of first group of 5 observations is 8 and that of second group of 4 observations is 1282. Then, grouped geometric mean is.

Suppose that, G1 is the GM of first 5 observations = 8 and G2 is the GM of last 4 observations = 1282 Also, let G be the grouped mean=G1n1×G2n29=G1n1×G2n29=G15×G241/9=85×(1282)41/9=235×27+1241/9=215×2301/9=2459=25=32