Statement-1 : \[{{\overline{X}}_{1}}<\overline{X}<{{\overline{X}}_{2}}\] |
Statement-2: \[\overline{X}=\frac{{{\overline{X}}_{1}}+{{\overline{X}}_{2}}}{2}\] |
A) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
C) Statement-1 is true, Statement-2 is false.
D) Statement-1 is false, Statement-2 is true.
Correct Answer: D
Solution :
If \[{{n}_{1}}\] and \[{{n}_{2}}\] are the numbers of items in the two distributions then \[\overline{X}=\frac{{{n}_{1}}{{\overline{X}}_{1}}+{{n}_{2}}{{\overline{X}}_{2}}}{{{n}_{1}}+{{n}_{2}}}\]You need to login to perform this action.
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