the following observation have been arranged in ascending order if the median of the data is 64 find the value of x
29, 32, 48, 50, 2x+1, 2x+3, 72, 78, 84, 95
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Answer:
31
Step-by-step explanation:
Given, observations are 29,32,48,50,2x + 1, 2x + 3, 72, 78, 84, 95.
Given, Median = 64
Number of observations n = 10{Even}
∴ Median = [(n/2)th observation + (n/2 + 1)th observation]/2
⇒ 64 = [(10/2)th observation + (10/2 + 1)th observation]/2
⇒ 128 = [5th observation + 6th observation]
⇒ 128 = [2x + 1 + 2x + 3]
⇒ 128 = [4x + 4]
⇒ 128 - 4 = 4x
⇒ 124 = 4x
⇒ x = 31
Therefore, the value of x = 31.
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oksabeena:
happy republic day too
hey a doubt
Ask!
how did 64 become 128
In RHS side..There is 2 in the denominator.That will come to LHS and hence it will become 64 * 2 = 128
ohh thank u
Its ok :-)
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