Numbers 2,3,5,6+x,9,10,15 are written in the ascending order.If There median is 7 what will be x?
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Answer:
The numbers are 6, 8, 10, 12, 13 and x
n = 6
Mean = (6 + 8 + 10 + 12 + 13 +x)/6
Mean = (49 + x)/6 …(i)
For median n = 6 (even)
Median = [(n/2)th term +( n/2 + 1)th term]/2
Median = (3rd term + 4th term)/2
= (10 + 12)/2
= 22/2 =11 …(2)
From (1) and (2)(from question)
Median = mean
11 = (49 + x)/6
⇒ x = 66 – 49
⇒ x =17
Step-by-step explanation:
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