Question

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

If a value of 60° is added to the data, how does the median change?

Answer 1

Step 1: find the original data set.

57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

77 and 82 are both the middle numbers

Step 2: add the two middle numbers

77 + 82 = 159

Step 3: divide your sum by 2.

159 divided by 2 equals to 79.5

The median for the original data set would be 79.5.




For the new data set, you add 60 to the data set.

Step 1: find the new data set

57, 58, 60, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105.

Step 2: find the middle number.

The middle number is 77.

The median for the new data set is 77.

Answer 2

The original data set:

57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

Finding the median:

77 and 82 are the 2 middle numbers

57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

Do 77 + 82 which equals 159

Then do 159 ÷ 2 which would be 79.5

The median for the original data set would be 79.5

Then adding the 60° would make a new data set:

57, 58, 60, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

The middle number would be 77

57, 58, 60, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

So the median for the second data set would be 77.

Explanation:

Hope this helps you a little, you're welcome