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identify the four components of data analysis. choose the term that is a number that describes the middle of a data set. a.) outlier b.) center c.) spread d.) shape

User Crunch
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Final answer:

The center of a data set, described by terms such as the median, mean, and mode, represents the central tendency of the data, with the median often being the most suitable measure in the presence of outliers or skewed data.

Step-by-step explanation:

The four components of data analysis are typically: center, spread, shape, and outliers. The term that describes the middle of a data set is center, which can be represented numerically by measures such as the mean (average), median, and mode. The median is a number that separates ordered data into two halves, whereas outliers are observations that do not fit with the rest of the data. When the data is symmetrically distributed, the mean, median, and mode will coincide. However, in the presence of outliers or when the data is skewed, the median is often the most suitable measure of center, as it is not influenced by extreme values.

To calculate the median, one should arrange the data in numerical order and then identify the middle value. If there is an even number of values in the dataset, the median is the average of the two middle values.

It is also important to consider the shape of the data, as some measures of center are more appropriate for different types of distributions. The mean is typically used for symmetric distributions without outliers, while the median is better suited for skewed distributions or those with outliers. The mode indicates the most frequently occurring value in the dataset.

User Kfsone
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