the median of the data set is 81 what number is missing in data set 82, 87, 77, 70, 80, 88
The missing dataset is 81 at the 4th position.
We have the following data set -
82, 87, 77, 70, 80, 88
whose Median is - 81
We have to find out the missing data in this dataset.
If a set consist of odd number of elements, then the median of that set of numbers is the is the element at the position \((\frac{N+1}{2}) ^{th}\).
Let the missing element be x. Now, the data set becomes -
82, 87, 77, 70, 80, 88, x
To total number of elements in the dataset = 7, which is a odd number.
The element at the \((\frac{N+1}{2}) ^{th}\) position for odd number of elements equals to Median which is equal to 81.
Hence, the missing dataset is 81 at the position - \((\frac{7+1}{2}) ^{th} = \frac{8}{2}\) = 4th position.
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