Question

The mean of 11 observation is 50. If the mean of first six observation is 49 and that of last six observations is 52, then the sixth observation

Answer 1

Answer:

11*50=550

6*49=294

6*52=312

294+312=606-550=56

the 6thno is 56

Answer 2

Mean:

The mean of a number of observation is the sum of the values of all the observations divided by the total number of observations.

Mean=sum of all the observations/total number of observations.

SOLUTION:

Given:

Mean of 11 observations = 50

Mean of first 6 observations= 49

Mean of last 6 observations= 52

Sum of the first 6 observations=( 6 ×49)= 294

Sum of the last 6 observations =(6×52)=312

Sum of 11 observations=  50×11= 550

The 6th observation = Sum of the first 6 observations +  Sum of the last 6 observations - Sum of 11 observations

The 6th observation = 294 +312 -550

= 606 -550= 56

Hence, The 6th observation is 56.

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