Question

the mean of 8 observation is 25 .one observation 18 is removed find the mean of remaining observation​

Answer 1

Answer:

26

Step-by-step explanation:

(a+b+c+d+e+f+g+18)/8=25

(a+b+c+d+e+f+g+18)=200

(a+b+c+d+e+f+g)=182

182/7=26

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Answer 2

$\huge\mathbb{SOLUTION:-}$

$\sf\underline{\pink{\:\:\:\:\:\:\:Given:-\:\:\:\:\:\:\:}}$

$\sf\bullet Mean\:of\:8\: observation\:is\:25\\ \\ \sf\bullet one\: observation\:18\:is\: removed$

Let the observation be

$\sf\:\:x_1\:,x_2,\:x_3\:,x_4,\:x_5,\:x_6\:x_7\:,x_8$

Now

$\star{\boxed{\sf{Mean=\dfrac{sum\:of\: observation}{Number\:of\: observation}}}}$

$\bf\underline{\red{\:\:\:\:\:\:\:A.T.Q:-\:\:\:\:\:\:\:}}$

$\sf:\implies 25=\dfrac{x_1,+x_2+x_3+......x_8}{8}\\ \\ \sf:\implies 25\times 8=x_1+x_2+x_3+x_4....x_8\\ \\ \sf:\implies x_1+x_2+x_3....x_8= 200\\ \\ \sf:\implies200=x_1+x_2+x_3.....x_7+18\\ \\ \sf:\implies So\:\:\:\:\dfrac{200-18}{7}\\ \\ \sf:\implies New\:mean=\cancel{\dfrac{182}{7}}\\ \\ \sf:\implies New.\:mean=26$

$\boxed{\sf{New\:mean=26}}$