The following observations have been arranged in ascending order. If the
median of the data is 63, find the value of x.
29, 32, 48, 50, x, x+2, 72, 78, 84
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Answer:
Step-by-step explanation:
ANSWER
Given that
Observation hae been arranged in ascending order
29,32,48,50,x,x+2,72,78,84,95
median of above Data =63.............(1)
No' of observations (n) =10
Here observe that No' of observations (n) is even so
Median is average of
2
n
th term and (
2
n
+1) th term
Median =
2
2
n
th term+(
2
n
+1)th term
=
2
2
10
th term+(
2
10
+1)th term
=
2
5th term+6th term
from (1)
63=
2
x+x+2
63=
2
2x+2
2x+2=63×2
2x+2=126
2x=126−2
2x=124
x=
2
124
x=62
Value of x=62
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