If the mean of the data x1,x2,x3.........xn is x,then find the mean of ax1,ax2,ax3.......axn
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Answer:
ax
Step-by-step explanation:
If the mean of the data x1,x2,x3.........xn is x,then find the mean of ax1,ax2,ax3.......axn
Data
x1,x2,x3.........xn
Sum = x1 + x2 + x3 +.........+ xn
Number of data = n
Mean = Sum of data / number of Data
=> Mean = (x1 + x2 + x3 +.........+ xn)/n
=> x = (x1 + x2 + x3 +.........+ xn)/n
New data
ax1,ax2,ax3.......axn
Sum = ax1 + ax2 + ax3 +.........+ axn
Taking a common
=> Sum = a(x1 + x2 + x3 +.........+ xn)
=> Mean = a(x1 + x2 + x3 +.........+ xn)/n
putting value of (x1 + x2 + x3 +.........+ xn)/n = x
=> Mean = ax
the mean of ax1,ax2,ax3.......axn = ax
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