find the median of the following date set:
74,52,28,31,49,54,32,66,59,86
Answers
arrange following numbers in small number to big number order
28, 31 ,32 , 49 ,52 , 54 , 59 ,66 ,74 , 86
median is 52 and 54
add the both 52 + 54 / 2
106 / 2 = 53
Step-by-step explanation:
Question:-
Find the median of the data:-
74,52,28,31,49,54,32,66,59,86
Answer:-
Given : 74,52,28,31,49,54,32,66,59,86
To find : The median of above data
Process:-
Data arranged in ascending order :-
28,31,32,49,52,54,59,66,74,86
Total No. of whole data = 10 numbers (even)
∴ We know that in median for even frequency :-
➔ Median = (n/2) term + (n/2+1) term /2
⇒ Median = (10/2) term + (10/2+1) term /2
⇒ Median = 5th term + (11/2) term /2
⇒ Median = 5th term + 5.5 (round off to 6) /2
⇒ Median = 5th term + 6th term/2
⇒ Median = 52+54/2
⇒ Median = 106/2
⇒ Median = 53 (Ans)
∴ The median of above data is 53.
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Hope it helps....
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