mean mode and median of 11,9,10,11,1,5,12,8,17,11,8,11,12
Answers
Step-by-step explanation:
mean of the following are 10.416666667
mode of the following are 5 ,8,8,9,10,11,11,11,11,12,12
median of the following are 12 +8 =20
Step-by-step explanation:
Given that :-
The observations are 11,9,10,11,1,5,12,8,17,11,8,11,12
(1)Mean:-
Sum of all observations is
=>11+9+10+11+1+5+12+8+17+11+8+11+12
=>126
No. of observations=13
Mean = Sum of all observations/No. of observations
Mean =126/13
Mean=9.69
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(2)Mode:-
Given observations are
11,9,10,11,1,5,12,8,17,11,8,11,12
Writting them into ascending order
=>1,5,8,8,9,10,11,11,11,11,12,12,17
11 is the most frequent occuring observation
Mode =11
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(3)Median:-
Given observations are
Given observations are11,9,10,11,1,5,12,8,17,11,8,11,12
Writting them into ascending order
Writting them into ascending order=>1,5,8,8,9,10,11,11,11,11,12,12,17
No. of observations=13
=>It is an odd number
If the number of observations are n is a odd then the median is (n+1)/2th observation
=>Median =(13+1)/2th observation
=>Median=14/2th observation
=>Median =7th observation
7th observation is 11
Median =11
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- Mean is the quotient when the sum of observations is divided by no. of observations .
- Mode is the most frequent occuring observation of the given data.
- Median is the middle term of the given data when it is arranged in either ascending or descending order.