Question

the following observations have been arranged in ascending order . if the median of data is 45 , find the value of x .16, 20,24,29,30,40,x,57,60,72,81,91​

Answer 1

Answer:

Answer : x=50

Step-by-step explanation:

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Answer 2

x = 50

Total observations = 12 (even)

Median = 1/2 ( 12/2th term + 12/2 +1th term)

= 1/2 (6th term + 7th term)

= 6th term + 7th term/ 2

45 = 40+x/2

=> 45*2 = 40+ x

=> 90 - 40 = x

=> x = 50

Mean = Sum of all observations/ Total no. of observations

= 16+20+24+29+30+40+50(x)+57+60+72+81+91/ 12

= 570/12

= 47.5

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