QuestionCalculate the standard deviations for total assessed land and parcel values of commercial and residential buildings. Which is smallest?

Studdy Solution

STEP 1

Assumptions1. The data provided is accurate and complete. . The standard deviation is calculated using the formula for a sample standard deviation, not a population standard deviation.
3. The standard deviation is calculated separately for each category commercial buildings total assessed land value, commercial buildings total assessed parcel value, residential buildings total assessed land value, and residential buildings total assessed parcel value.

STEP 2

First, we need to separate the data into the four categories mentioned above.

STEP 3

Calculate the mean (average) for each category. The formula for the mean is $Mean = \frac{Sum\, of\, all\, values}{Number\, of\, values}$

STEP 4

Subtract the mean from each value in the category to get the deviation of each value.

STEP 5

Square each deviation.

STEP 6

Calculate the mean of these squared deviations. This is called the variance.

STEP 7

Take the square root of the variance. This is the standard deviation.

STEP 8

Repeat steps3 to7 for each category.

STEP 9

Compare the standard deviations to find out which category has the smallest standard deviation.

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QuestionCalculate the standard deviations for total assessed land and parcel values of commercial and residential buildings. Which is smallest?

Studdy Solution

STEP 1

STEP 2

First, we need to separate the data into the four categories mentioned above.

STEP 3

Calculate the mean (average) for each category. The formula for the mean is $Mean = \frac{Sum\, of\, all\, values}{Number\, of\, values}$

STEP 4

Subtract the mean from each value in the category to get the deviation of each value.

STEP 5

Square each deviation.

STEP 6

Calculate the mean of these squared deviations. This is called the variance.

STEP 7

Take the square root of the variance. This is the standard deviation.

STEP 8

Repeat steps3 to7 for each category.

STEP 9

Compare the standard deviations to find out which category has the smallest standard deviation.

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QuestionCalculate the standard deviations for total assessed land and parcel values of commercial and residential buildings. Which is smallest?

Studdy Solution

STEP 1

STEP 2

First, we need to separate the data into the four categories mentioned above.

STEP 3

Calculate the mean (average) for each category. The formula for the mean isMean=Sum of all valuesNumber of valuesMean = \frac{Sum\, of\, all\, values}{Number\, of\, values}Mean=NumberofvaluesSumofallvalues​

STEP 4

Subtract the mean from each value in the category to get the deviation of each value.

STEP 5

Square each deviation.

STEP 6

Calculate the mean of these squared deviations. This is called the variance.

STEP 7

Take the square root of the variance. This is the standard deviation.

STEP 8

Repeat steps3 to7 for each category.

STEP 9

Compare the standard deviations to find out which category has the smallest standard deviation.

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Calculate the mean (average) for each category. The formula for the mean is $Mean = \frac{Sum\, of\, all\, values}{Number\, of\, values}$