If ¯x1,¯x2…,¯xn are the means of n groups with n1,n2,…,nn numbe

1.	If ¯x1,¯x2…,¯xn are the means of n groups with n1,n2,…,nn number of observations respectively then the mean ¯x of all the groups taken together is (a) ∑i=1nn,¯xi (b) ∑ni=1ni¯xin2 (c) ∑ni=1ni¯xi∑ni=1ni (d) ∑ni=1ni¯xi2n
Answer» If $_{1},_{2} \dots,_{n}$ are the means of n groups with $n_{1}, n_{2}, \dots, n_{n}$ number of observations respectively then the mean $¯ x$ of all the groups taken together is (a) $\sum_{n}^{i = 1} n,_{i}$ (b) $\frac{\sum_{i = 1}^{n} n_{i}_{i}}{n^{2}}$ (c) $\frac{\sum_{i = 1}^{n} n_{i}_{i}}{\sum_{i = 1}^{n} n_{i}}$ (d) $\frac{\sum_{i = 1}^{n} n_{i} {¯ x}_{i}}{2 n}$

If ¯x1,¯x2…,¯xn are the means of n groups with n1,n2,…,nn number of observations respectively then the mean ¯x of all the groups taken together is (a) ∑i=1nn,¯xi (b) ∑ni=1ni¯xin2 (c) ∑ni=1ni¯xi∑ni=1ni (d) ∑ni=1ni¯xi2n

Answer»

If $_{1},_{2} \dots,_{n}$ are the means of n groups with $n_{1}, n_{2}, \dots, n_{n}$ number of observations respectively then the mean $¯ x$ of all the groups taken together is
(a) $\sum_{n}^{i = 1} n,_{i}$

(b) $\frac{\sum_{i = 1}^{n} n_{i}_{i}}{n^{2}}$

(d) $\frac{\sum_{i = 1}^{n} n_{i} {¯ x}_{i}}{2 n}$

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If ¯x1,¯x2…,¯xn are the means of n groups with n1,n2,…,nn number of observations respectively then the mean ¯x of all the groups taken together is (a) ∑i=1nn,¯xi (b) ∑ni=1ni¯xin2 (c) ∑ni=1ni¯xi∑ni=1ni (d) ∑ni=1ni¯xi2n

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