Question

Priya asked each of five friends to attempt to throw a ball in a trash can until they succeeded. She recorded the number of unsuccessful attempts made by each friend as: 1, 8, 6, 2, 4. PRIYA MADE A MISTAKE: The 8 in the data set should have been 18. How would changing the 8 to 18 affect the MEDIAN of the data set? *

Answer 1

1,2,4,6,8

And the median can be calculated from the value in the position 3th and we got 4

`Median =4`

And now using the correct dataset is: 1, 18, 6, 2, 4. And if we order the dataset we got:

1,2,4,6,18

And the median for this case again would be the value in the 3th position and we got:

`Median =4`

So then we can conclude that the median is unaffected by the change of 18 instead of 8

Explanation:

For this case we have the original dataset given:

1, 8, 6, 2, 4

And the median for this dataset can be calculated with the following dataset ordered:

1,2,4,6,8

And the median can be calculated from the value in the position 3th and we got 4

`Median =4`

And now using the correct dataset is: 1, 18, 6, 2, 4. And if we order the dataset we got:

1,2,4,6,18

And the median for this case again would be the value in the 3th position and we got:

`Median =4`

So then we can conclude that the median is unaffected by the change of 18 instead of 8