The weight of boys in a class is 52 kg, 48 kg, 64kg, 55kg, 50kg, 47 kg and 67 kg. Find the median of their weights
Answers
Answer:
Mean weight of 6 boys =48 kg.
Let the weight of the 6th boy be a kg.
6
50+45+50+42+40+a
=48
=>227+a=288
=>a=61
weight of the 6th boy =61 kg.
Step-by-step explanation:
Given :-
The weight of boys in a class is 52 kg, 48 kg, 64kg, 55kg, 50kg, 47 kg and 67 kg.
To find :-
Find the median of their weights ?
Solution :-
Given that
The weight of boys in a class is 52 kg, 48 kg, 64kg, 55kg, 50kg, 47 kg and 67 kg.
On writing them into ascending order
=> 47 , 48 , 50 , 52 , 55 , 64 , 67
The number of observations = 7
=> It is an odd number
We know that
If the number of observations of a data is n ,an odd then the median is (n+1)/2th observation.
We have , n = 7
(n+1)/2 = (7+1)/2 = 8/2 = 4
(n+1)/2 th observation = 4th observation
=> 52
Median = 52
Answer:-
The median of their weights is 52 kg
Used formulae:-
If the number of observations of a data is n ,an odd then the median is (n+1)/2th observation.
Points to know:-
→ Median is the middle observation of the given data when it is arranged in either ascending order or descending order.
→ Median is denoted by M
→ If the number of observations of a data is n ,an even then the median is the average of n/2th observation and
(n/2)+1 th observations