Of the 25 brightest stars, the distances from earth (in...

Of the 25 brightest stars, the distances from earth (in light-years) for those with distances less than 100 light-years are found below. Find the mean, median, mode, and midrange for the data. $\begin{array}{llllll}{8.6} & {36.7} & {42.2} & {16.8} & {33.7} & {77.5} \\ {4.4} & {25.3} & {11.4} & {65.1} & {25.1} & {51.5}\end{array}$

Of the 25 brightest stars, the distances from earth (in light-years) for those with distances less than 100 light-years are found below. Find the mean, median, mode, and midrange for the data.
$\begin{array}{llllll}{8.6} & {36.7} & {42.2} & {16.8} & {33.7} & {77.5} \\ {4.4} & {25.3} & {11.4} & {65.1} & {25.1} & {51.5}\end{array}$

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Key Concepts

Mean

The mean is a measure of central tendency calculated by summing all the values in a dataset and dividing by the number of values. It provides an average that represents the overall level of the dataset, although it can be influenced by outliers or skewed data.

Median

The median is a measure of central tendency that identifies the middle value of an ordered dataset. When the data is arranged in ascending or descending order, the median splits the dataset into two equal halves, which makes it a useful statistic in scenarios where the data may include outliers.

Mode

The mode is the value that appears most frequently in a dataset. It is a useful measure of central tendency for understanding the most common or typical value, particularly in categorical or discrete data.

Midrange

The midrange is a measure of central tendency calculated by averaging the maximum and minimum values in a dataset. It provides a quick estimate of the center of the data, though like the mean it can be sensitive to extreme values.