A) 45
B) 40
C) 20
D) 35
Correct Answer: D
Solution :
Mean, \[\bar{x}=40,\,n=20.(Given)\] \[\bar{x}=\frac{{{x}_{1}}+{{x}_{2}}+....+{{x}_{20}}}{20}\] \[{{x}_{1}}+{{x}_{2}}+....+{{x}_{20}}=40\times 20=800\] New numbers are \[({{x}_{1}}-5),({{x}_{2}}-5),.....,\]\[({{x}_{20}}-5)\] Then mean of new numbers = \[\frac{({{x}_{1}}-5)({{x}_{2}}-5)+....+({{x}_{20}}-5)}{20}\] \[=\frac{800-100}{20}=\frac{700}{20}=35\]You need to login to perform this action.
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