What is the median of the data 526,265,726,672,625,248,482,252,276,267,284,256?
A) 284
B) 280
C) 282
D) 278
Please step by step explain......
Answers
Answer:
526,265,726,672,625,248,482,252,276,267,284,256
முதலில் ஏறுவரிசையிலோ அல்லது இறங்கு வரிசையிலும் எழுதுக
248,252,256,265,267,276,284,482
Therefore the median of the given data set is 526,265,726,672,625,248,482,252,276,267,284,256 is '280'.
Given:
The set of numbers: 526,265,726,672,625,248,482,252,276,267,284,256
To Find:
The median for the given set.
Solution:
The given question can be answered by following the steps.
Given data set: 526,265,726,672,625,248,482,252,276,267,284,256
Step-1: Arrange the given data set in ascending order or descending order.
⇒ 248, 252, 256, 265, 267, 276, 284, 482, 526, 625, 672, 726
Step-2:
Now the median is the middlemost number if the number of elements given is odd and the median becomes equal to the average of the middlemost 2 numbers if the number of elements given is even.
In this question, the number of elements given is '12' which is even so the median becomes the average of middlemost 2 elements.
⇒ Average of middlemost 2 element or average of 6th and 7th elements = ( 276 + 284 )/2 = 280
Therefore the median of the given data set is 526,265,726,672,625,248,482,252,276,267,284,256 is '280'.
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