the mean of 2x+3 ,3x+4,x+7,x-3and 4x-7 = 14 find x
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Observations = 2x + 3, 3x + 4, x + 7, x - 3, 4x - 7
Mean = Sum of observations
No. of observations
Sum of observations:
⇒ 2x + 3 + 3x + 4 + x + 7 + x - 3 + 4x - 7
⇒ 11x + 14 - 10
⇒ 11x + 4
Total no. of observations = 5
∴ Mean = 11x + 4 = 14
5
On cross multiplication:
⇒ 11x + 4 = 70
⇒ 11x = 70 - 4
⇒ 11x = 66
⇒ x = 66/11
⇒ x = 6
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