the mean of 8, 10, x+1, x+3, x+4 and 19 is 13. Find the value of x
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Answer:
- The value of x is 11.3.
Step-by-step explanation:
Given:
The mean of 8, 10, x + 1, x + 3, x + 4, 19 is 13.
To find:
The value of x.
Solution:
- Mean/Average is given as:
Sum of all observations/Total number of observations
⇒ 8 + 10 + x + 1 + x + 3 + x + 3 + 19/6 = 13
⇒ 8 + 10 + x + 1 + x + 3 + x + 3 + 19 = 13 × 6
⇒ 8 + 10 + x + 1 + x + 3 + x + 3 + 19 = 78
⇒ 44 + 3x = 78
⇒ 3x = 34
∴ x = 11.3
Verification:
Sum of all observations/Total number of observations
⇒ 8 + 10 + 11.3 + 1 + 11.3 + 3 + 11.3 + 3 + 19/6 = 13
⇒ 77.9/6 = 12.98 ≈ 13
∴ L.H.S = R.H.S
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