The average of the numbers 5, 3, 9, 11, 29 and (p+1) is 12. The average increases by 2 when the numbers (q-5) and (q+11) are also included. Find the value of q.
Answer & explanation
Correct answer: option 3
We know that,
Average = \(\frac{Sum \; of \; observation}{Number \; of \; observation}\)
No need to find the value of p,
The sum of given 6 numbers = 12 × 6 = 72
Now, according to the question,
72 + q - 5 + q + 11 = (12 + 2 ) × 8
78 + 2q = 112
2q = 34
q = 17