Question

If a data set contains 10,000 values arranged in increasing order, where is the median located?

Answer 1

We have been given that a data set contains 10,000 values arranged in increasing order and we are asked to find where the median of this data will occur.

We know that the median of a data set with even number of entries is found by considering the average of the middle two values.

However, the median of a data set with odd number of entries can be found by considering the middle term of the sequence.

Since the number of entries in our data are 10,000, which happens to be an even number, therefore, we can find the median by computing the average of middle two values.

The middle two values of the data set with 10,000 entries are 5000th and 5001st numbers. Thus, the median of the data set will be average of 5000th and 5001st entries. Hope this helps!