Question

The mean of 9 observation is 36.if the mean of first five observation is 32 and that of last 5 observation is 39, then fifth observation is

Answer 1

Answer:

5th term is 31.

Step-by-step explanation:

let a = sum of first four observations

let c = 5th term

let b = sum of last four observations

mean = total of observations / no. of observations

36 = a+b+c/9

324 = a+b+c     ---(1)

mean = total of observations / no. of observations

32 = a+b/5

160 = a+b         ---(2)

mean = total of observations / no. of observations

39 = b+c/5

195 = b+c       ---(3)

subtracting (2) from (1):

324-(160) = a+b+c-(a+b)

164 = a+b+c-a-b

164 = c

Putting this in (3):

195 = b+164

b = 31

Answer 2

Answer:

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