Question

Average of 40 observation is 32. If the average of first
15 observation is 16 and next 16 is 20. Find the average
of remaining observation.​

Answer 1

Answer:

80

Step-by-step explanation:

let the average of remaining observation be x.

40*32 = 15*16+16*20+9*x

x= 80

Answer 2

Answer:

Average of remaining 9 observations = 23

Step-by-step explanation:

From the above question,

They have given :

The average of any set of observations is calculated by summing up all the observations and then dividing the total by the number of observations.

If the average of the whole set of observations is known, then the average of any subset of observations can be calculated by subtracting the total of the subset from the total of the whole set and then dividing the difference by the number of observations in the subset.

Total of all 40 observations = 32 × 40 = 1280

Total of first 15 observations = 16 × 15 = 240

Total of next 16 observations = 20 × 16 = 320

The total of the 40 numbers = 40 x 36 = 1440

Therefore,

     The sum of the other 60 numbers = 600 - 1440 = -840

The average of the 60 numbers = -1440/60 = -14

Total of remaining 9 observations = 1280 - (240 + 320) = 720

Average of remaining 9 observations = 720 ÷ 9 = 80

Average of remaining 9 observations = 80

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