(a) 6 (ix) The median of the marks 7,3,5,12, 10, 9 is - (b) 8 (c) 7 (d) 12
Answers
Option (b)
Given :-
The observations of a data are 7,3,5,12,10,9
To find :-
The Median of the data .
Solution :-
Given observations of the data are 7,3,5,12,10,9
On writing them in ascending order then
3,5,7,9,10,12.
Number of observations (n) = 6
We know that
If the number of observations is n , an even number then the median is the average of (n/2)th and (n/2)+1 th observations.
n/2 = 6/2 = 3
3rd observation = 7
(n/2)+1 = 3+1 = 4
4th observation = 9
Average of 3rd and 4th observations
= (7+9)/2
= 16/2
= 8
Therefore, Median = 8
Answer :-
Median of the given data is 8
Points to know:-
• Median is the middle observations of the data when it is arranged either ascending order or descending order.
• If the number of observations is n , an even number then the median is the average of (n/2)th and (n/2)+1 th observations.
• If the number of observations is n , an odd number then the median is the
(n+1)/2 th observation.
Step-by-step explanation:
Option (b)
Given :-
The observations of a data are 7,3,5,12,10,9
To find :-
The Median of the data .
Solution :-
Given observations of the data are 7,3,5,12,10,9
On writing them in ascending order then
3,5,7,9,10,12.
Number of observations (n) = 6
We know that
If the number of observations is n , an even number then the median is the average of (n/2)th and (n/2)+1 th observations.
n/2 = 6/2 = 3
3rd observation = 7
(n/2)+1 = 3+1 = 4
4th observation = 9
Average of 3rd and 4th observations
= (7+9)/2
= 16/2
= 8
Therefore, Median = 8
Answer :-
Median of the given data is 8
Points to know:-
• Median is the middle observations of the data when it is arranged either ascending order or descending order.
• If the number of observations is n , an even number then the median is the average of (n/2)th and (n/2)+1 th observations.
• If the number of observations is n , an odd number then the median is the
(n+1)/2 th observation.