Extreme value have no effect on:
a) average b) median
c) geometric mean d) harmonic mean
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Answer:
B) Median
Step-by-step explanation:
For Example:
Ci - 2, 5, 7, 9, 12, 12, Y, 13, 13,
Let(1) Y = 13
Then
Mode(1) = 13
average(1) = (2+5+7+9+12+12+13+13+13)/ 9
= 86/9
= 9.55
Median(1) = [(N+1)/2]th term
= [(9+1)/2]th term
= [10/2]th term
= 5th term
= 12
Let(2) Y = 12
Then
Mode(2) = 12
average(1) = (2+5+7+9+12+12+12+13+13)/ 9
= 85/9
= 9.44
Median(1) = [(N+1)/2]th term
= [(9+1)/2]th term
= [10/2]th term
= 5th term
= 12
Thus
Mode(1) ≠ Mode(2)
Average (1) ≠ Average (2)
But
Median (1) = Median (2)
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