Question

for the green data 11,15,17,y+1,19,y-2,3,if the mean is 14,find the vapie of y

Answer 1

Given:-11,15,17,y+1,19,y-2,3
Total no. of observation=7
Mean=14
y=?

∞∞FORMULA∞∞
Mean=Sum of observation/Total number of observations
==
==

→14=11+15+17+(y+1)+19+(y-2)+3 / 7
→98=11+15+17+(y+1)+19+(y-2)+3
→98=65+(y+1)+(y-2)
→98=65+y+1+y-2
→98=64+2y
→98-64=2y
→34=2y
→34/2=y
→17=y

Hence y=17

Answer 2

Given data : 11 , 15 , 17 , y + 1 , 19 , y - 2 , 3

Number of the given data = 7

Mean of the given data = 14



We know ( formula ),
Mean = sum of observations / number of observations


On the basis of this formula : -

= > 14 = ( 11 + 15 + 17 + y + 1 + 19 + y - 2 + 3 ) / 7

= > 14 x 7 = 64 + 2y

= > 98 = 64 + 2y

= > 98 - 64 = 2y

= > 34 = 2y

= > 17 = y



Hence the value of used variable y is 17.
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