Question

the median of the observations 23,27,31,35,x+1,x+5,45,50,54,57 is 40. Find the value of x and hence find the mean​

Answer 1

Step-by-step explanation:

Given that , median= 40

we know that , for even

• Median= (n/2)th term + (n/2 +1)th term
• 2
• 40 = (10/2)th term + (10/2 +1)th term
• 2
• 40×2= 5th term + 6th term
• 80= x+1+x+5
• 80=2x+6
• 80-6=2x
• 74=2x
• 74/2=x
• x=37

value of x is 37

hence 5th term is x+1= 37+1 =38

and 6th term is x+5=37+5 =42

Now, Mean= Sum of observation

Total number of observation

here total number of observation is 10 i.e. n= 10

Mean= 23+27+31+35+38+42+45+50+54+57

10

Mean=402

10

Mean= 40.2