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.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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