math question

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Descriptive Statistics

Student Name

Institutional Affiliation

Course

Instructor

Date

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Descriptive Statistics

Descriptive Statistics

Mean 23793.00

Standard Deviation 688.65

Median 23737.50

From the above data, the mean of the data is 23,793.00, standard deviation is 688.65, and

the median of the data is 23,737.50. Therefore, most of the data point is close to the mean as

indicated by the small value of standard deviation (Livingston, 2004). Therefore, the prices of

the cars are not widely varied. The mean is the average of the observations in the dataset, while

the median is the middle most data point in the distribution. Since both the median and the mean

are close to each other the prices of the different cars can be said to be symmetrically distributed.

Column

Mean 376175.45

Median 24000.00

Standard Deviation 1168720.57

The addition of an eleventh car that costs at least one million has the largest effect on the

standard deviation. The variation of the observations from the mean was 1,168,720.57, which

shows a great variability that indicated the data is not normally distributed (Livingston, 2004).

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Additionally, the mean and the median were not close to each other, which indicated

asymmetrical distribution of the data. The was surprising in that addition of only one outlier

changed the entire outlook of the data.

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References

Livingston, E. H. (2004). The mean and standard deviation: what does it all mean?. Journal of

Surgical Research, 119(2), 117-123.