it is given that mean of 5 number is 27 if one number is excluded the mean gets reduced by two find the excluded number .
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Answer:
Excluded number = 35
Step-by-step explanation:
mean of observations= sum of the observations/Total number of observations
mean of 5 number = 27= sum of the observations/5
∴ sum of the observations=27 × 5 = 135
one number is excluded to get new mean as 27-2= 25
New number of observations = 5-1 =4
New mean=New sum of the observations/New number of observations
25=New sum of the observations/4
∴ New sum of the observations = 25 × 4 = 100
Excluded number = Old sum of the observations - New sum of the observations
Excluded number = 135 -100 = 35
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