if the arithmetic mean of the following data is 25, find the value of k- xi-5,15,25,36,45 fi-3,k,3,6,2
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if the arithmetic mean of the following data is 25, find the value of k- xi-5,15,25,36,45 fi-3,k,3,6,2
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Answer:
arithmetic mean =
3+k+3+6+2
(5×3)+(15×k)+(25×3)+(35×6)+(45×2)
⇒arithmetic mean =
3+k+3+6+2
15+15k+75+210+90
=25
⇒350+25k=390+15k
⇒k=4