Math, asked by aswaraich916, 10 months ago

The mean of 5 observations is 9. If the mean of
the first 3 observations is 6 and the mean of the last 3 observations is 11, then the third observation is:

Answers

Answered by srushtirajput
1

hope it helps..

thanks

Attachments:
Answered by knjroopa
0

Step-by-step explanation:

Given The mean of 5 observations is 9. If the mean of  the first 3 observations is 6 and the mean of the last 3 observations is 11, then the third observation is:

  • Now mean = sum of all observations / number of observations
  • Let the five observations be p,q,r,s,t
  • According to the question p + q + r + s + t / 5 = 9
  • Or p + q + r + s + t = 45
  • Now mean of first 3 observation is p + q + r / 3 = 6
  • Or p + q + r = 18
  • Also mean of last 3 observations will be
  • Or r + s + t / 3 = 11
  • Or r + s + t = 33
  • So adding sum of first and last three observations will be
  • So p + q + r + r + s + t = 18 + 33
  • So p + q + 2 r + s + t = 51
  • Also p + q + r + s + t = 45
  • Subtracting eqn 2 from eqn 1 will be
  • So p + q + 2 r + s + t – p – q – r – s – t = 51 – 45
  • So 2r – r = 6
  • Or r = 6
  • Therefore the third term is 6

Reference link will be

https://brainly.in/question/17690370

Similar questions