Find the mean, median, mode, and range for each data set given. a. 7,12,1,7,6,5,11 b. 85,105,95,

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Find the mean, median, mode, and range for each data set...

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Key Concepts

Arithmetic Mean

The arithmetic mean is a measure of central tendency obtained by adding all the values in a dataset and dividing the sum by the total number of values. It offers a single value that represents the overall average value of the dataset, making it useful for comparing data sets or summarizing a set of observations.

Median

The median is the central value of an ordered dataset, meaning that half of the values are less than or equal to it and half are greater than or equal to it. When the dataset contains an even number of values, the median is calculated by taking the average of the two middle values, making it a robust measure of central tendency that is less susceptible to outliers.

Mode

The mode is defined as the value or values that occur most frequently in a dataset. It is a measure of central tendency that highlights the most common value(s) and can be particularly insightful in data sets with repeated numbers, especially when the data is categorical or non-numeric.

Range

The range represents the spread of a dataset and is calculated as the difference between the maximum and minimum values. It gives a quick and simple measure of variability, although it is sensitive to extreme values that may not accurately reflect the overall distribution of the data.

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