Mean of 5,25,8,x, 34,12,20 is 2 more than their median . So find theiron mean and median
Answers
Mean = 22 , Median = 20 if x = 50 , Median = 15 , Mean = 17 if x = 15
Step-by-step explanation:
Mean of 5,25,8,x, 34,12,20 is 2 more than their median
5 , 8 , 12 , 20 , 25 , 34 , x
There are total 7 numbers
so 4th number would be median
4th number can be 20 if x > 20
4th number can be x if 12 < x < 20
or 4th number can be 12 if x < 12
Mean = (5 + 8 + 12 + 20 + 25 + 34 + x)/7
= (104 + x)/7
Case 1 x < 12 => Median = 12
Mean should be 14
=> 14 = (104 + x)/7
=> 98 = 104 + x
=> x = - 6
Neglecting -ve values
x > 20 Median = 20
Mean = 22
22 = (104 + x)/7
=> 154 = 104 + x
=> x = 50
Mean = 22 , Median = 20
12 < x < 20
Median = x
Mean = x + 2
x + 2 = ( 104 + x)/7
=> 7x + 14 = 104 + x
=> 6x = 90
=> x = 15
x lies between 12 & 20
Median = 15
Mean = 17
Learn more:
Find the mode, median and mean for the following data: Marks ...
https://brainly.in/question/7477608
the mean and median of a data are 14 and 16 respectively .the ...
https://brainly.in/question/6793277