Look at this set of 7 numbers:

Question

29706774667053
How would the median change if the number 69 were added to the set?
increase
decrease
no change
Submit

Answer 1

To determine how the median would change if the number 69 were added to the set of numbers, we first need to find the median of the original set.

Since we only have one number (29706774667053), the median of this single-value set is simply that number.

Now, let's add the number 69 to the set. We now have two numbers: 69 and 29706774667053.

To find the median of a set with an even number of values, we take the average of the two middle numbers. In this case, the numbers in order are:

1. 69
2. 29706774667053

Now, the median will be the average of these two numbers: \[ \text{Median} = \frac{69 + 29706774667053}{2} \]

Since 69 is significantly smaller than 29706774667053, the average will still be much closer to 29706774667053 than it is to 69.

Thus, when we add 69, the median changes from 29706774667053 to a new value that will be less than 29706774667053 but not by a significant amount compared to the original value.

Therefore, the median would decrease when 69 is added to the set.

The answer is: decrease.