Question

the mean of 53 observations is 36.Out of these observations ,the mean of first 27 observations is 32.and that of the last 27 observations is 40.find the 27th observation

Answer 1

Answer:

27th oberservation= 35

Step-by-step explanation:

32+40/2

=70/2

= 35

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Answer 2

Answer:

36

Step-by-step explanation:

∴ Sum of 25 observations = 36 x 25 = 900 Now, the mean of first 13 observations = 32

∴ Sum of first 13 observations = 13 x 32 = 416 and the mean of last 13 observations = 40

∴ Sum of last 13 observations = 40 x 13 = 520

So, 13th observation = (Sum of last 13 observations + Sum of first 13 observations) – (Sum of 25 observations)

= (520 + 416)-900 = 936 – 900 = 36