If we added a largest value and a smallest value to a given data. Does the median change? Explain.
Answers
Answer:
yes
Step-by-step explanation:
The median of a set of data values is the middle value of the data set when it has been arranged in ascending order. That is, from the smallest value to the highest value.
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No , The Median doesn't change when a smallest and largest value is added to a given data.
Consider , There are 5 observations
The median will be 3rd Observation.
When two observations, largest value and a smallest value are added ,then They get arranged in the first & last of data.
For above mentioned example, if two observations, one smallest and one largest are added.
Total observations = 7
The previous nth observation will be (n+1) observation as an observation is added at the start.
Median = 4th term ,
In the previous data 3rd term is now 4th term .
Therefore , If we added a largest value and a smallest value to a given data. The Median doesn't change.