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Answers
Step-by-step explanation:
Question :-
If the mean of 8, 10, 7 , x+2 and 6 is 9,find the value of x?
Solution:-
Given observations = 8,10,7,x+2, 6
Mean=9
Sum of the observations =
8+10+7+x+2+6= 33+x
Number of observations = 5
Mean = Sum of all observations/Number of all observations
=>9 = (33+x)/5
=>9×5 = 33+x
=>45 = 33+x
=>x = 45-33
=>x = 12
Answer:-
The value of x = 12
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Question:-
Find the mean of first six multiples of 3 ?
Solution:-
The first six multiples of 3 = 3,6,9,12,15,18
Sum of all observations
=>3+6+9+12+15+18=63
Number of all observations = 6
Mean= Sum of all observations/Number of all observations
Mean = 63/6
Mean = 10.5
Answer:-
The mean of first 6 multiples of 3 = 10.5
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Question:-
Find the mean of first five prime numbers?
Solution:-
The first five prime numbers = 2,3,5,7,11
Sum of all observations
=2+3+5+7+11
=>28
Number of all observations = 5
Mean = Sum of all observations/Number of all observations
Mean = 28/5
Mean = 5.6
Answer:-
The mean of first five prime numbers = 5.6
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Question:-
The mean of six numbers :x-5;x-1;x;x+2;x+4;x+12 is 15.Find the mean of first four numbers ?
Solution:-
Given observations = x-5;x-1;x;x+2;x+4;x+12
Mean = 15
sum of all observations
=>x-5+x-1+x+x+2+x+4+x+12
=>6x-6+18
=>6x+12
Number of all observations = 6
Mean = Sum of all observations/Number of all observations
=>15 = (6x+12)/6
=>15 = 6(x+2)/6
=>15= x+2
=>x=15-2
x=13
x-5=13-5=8
x-1=13-1=12
x+2=13+2=15
x+4=13+4=17
x+12=13+12=25
Then the observations are 8,12,13,15,17,25
The first four numbers = 8,12,13,15
Their sum = 8+12+13+15=48
Mean = Sum of all observations/Number of all observations
Mean = 48/4
Mean = 12
Answer:-
The mean of first four numbers = 12
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Used formula:-
- Mean = Sum of all observations/Number of all observations
Step-by-step explanation:
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