The mean of 20 observations in an experiment is 4, lf the observed largest value is 23, find the mean of the remaining observations.
Answer Details
To find the mean of the remaining observations, we need to subtract the largest value from the sum of all the observations and then divide it by the number of observations minus one.
Number of observations = 20
Mean of 20 observations = 4
Largest value = 23
Sum of all observations = Mean x Number of observations
= 4 x 20 = 80
Sum of remaining observations = Sum of all observations - Largest value
= 80 - 23 = 57
Number of remaining observations = Number of observations - 1
= 20 - 1 = 19
Mean of remaining observations = Sum of remaining observations / Number of remaining observations
= 57 / 19 = 3
Therefore, the mean of the remaining observations is 3. Hence, the correct option is (b) 3.