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The mean of the following data is 6.Find the value of 'P'.
x : 2  4  6  10  P+5
f :  3  2  3   1     2
  • a)
    4
  • b)
    6
  • c)
    8
  • d)
    7
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The mean of the following data is 6.Find the value of P.x : 2 4 6 10 P...
Given data:
x : 2 4 6 10 P 5
f : 3 2 3 1 2
Mean = 6

To find: Value of P

Solution:
Step 1: Find the sum of the given data
2×3 + 4×2 + 6×3 + 10×1 + P×2 + 5×2 = 6×(3+2+3+1+2)

Step 2: Simplify the above equation
6 + 8 + 18 + 10 + 2P + 10 = 90
2P = 90 - 52
2P = 38
P = 19

Therefore, the value of P is 19.

Answer: Option D
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Community Answer
The mean of the following data is 6.Find the value of P.x : 2 4 6 10 P...
Formula for Mean:
Mean = (Σ f·x) / (Σ f)
Σ f = 3 + 2 + 3 + 1 + 2 = 11
Σ f·x = (2×3) + (4×2) + (6×3) + (10×1) + (P+5)×2
= 6 + 8 + 18 + 10 + (2P + 10)
= 52 + 2P
Mean = 6 ⇒ (52 + 2P) / 11 = 6
⇒ 52 + 2P = 66
⇒ 2P = 14
⇒ P = 7
Correct Answer: d) 7
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