Question

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:

Answer 1

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Answer 2

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