Consider the following sample set of scores. assume these scores are from a discrete distribution. 21 29 32 38 38 45 50 64 72 100 for the given data, the mean is , the median is , and the mode is . suppose the score 21 in the data is mistakenly recorded as 2 instead of 21. for the sample with this error, the mean is , the median is , and the mode is __ . the mean __ , the median , and the mode . suppose the score 21 in the original sample is inadvertently removed from the sample. for the sample with this score removed, the mean is , the median is __ , and the mode is __ . the mean , the median and the mode

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.

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