Answer:
Original data: 21 29 32 38 38 45 50 64 72 100

Mode =38.

Change 1: 2 29 32 38 38 45 50 64 72 100

Mode =38.

Change 2: 29 32 38 38 45 50 64 72 100

Mode =38.

Step-by-step explanation:
Original data: 21 29 32 38 38 45 50 64 72 100
The mean is calculated with the following formula:

And if we replace we got:

The mode is the most repeated value in the sample and on this case is Mode =38.
Since we have an even number of points the median is calculated as the average between the observations 5 and 6 from the dataset ordered.

Change 1: 2 29 32 38 38 45 50 64 72 100
The mean is calculated with the following formula:

And if we replace we got:

The mode is the most repeated value in the sample and on this case is Mode =38.
Since we have an even number of points the median is calculated as the average between the observations 5 and 6 from the dataset ordered.

Change 2: 29 32 38 38 45 50 64 72 100
Now the sample size is 9 instead of 10
The mean is calculated with the following formula:

And if we replace we got:

The mode is the most repeated value in the sample and on this case is Mode =38.
Since we have odd number of points the median is calculated from the 5 position of the dataset ordered.
