Question

the median of the data 6,7,x-2,x,17,20 is 16.then X is equal to

Answer 1

Hi friend
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Your answer
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Given data : -

6,7,x - 2,x,17,20

Median = 16

Now,
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Number of terms = n = 6 (even)

So,
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Median = Mean of (n/2 th + n/2 + 1 th observation)

16 = 1/2 (6/2 th + 8/2 th observation )

16 = 1/2 ( x + x + 2)

16 = 1/2 ×( 2x + 2)

16 = 2(x + 1)/2

16 = x + 1

16 - 1 = x

x = 15

So,
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One term = x = 15

Another term = x + 1 = 15 + 1 = 16

HOPE IT HELPS