What is the measure of central tendency defined as the sum of all the values/observations divided by the number of observations in the data set?

What is the measure of central tendency defined as the sum of all the values/observations divided by the number of observations in the data set?

• A. Median
• B. Mode
• C. Mean
• D. Range

Answer: (C)

The measure of central tendency described as the sum of all the values or observations divided by the number of observations in the data set is known as the mean. This statistical measure provides an average value that is useful for understanding the overall trend of the data. When calculating the mean, every value in the dataset contributes equally to the final result, making it sensitive to extreme values, or outliers, which can significantly affect the mean. This property makes the mean a powerful tool for summarizing a dataset, especially when the data is symmetrically distributed. In contrast, the median represents the middle value when the data is ordered, and the mode signifies the most frequently occurring value in the dataset. The range simply measures the difference between the highest and lowest values, providing no information about the values in between.

The measure of central tendency described as the sum of all the values or observations divided by the number of observations in the data set is known as the mean. This statistical measure provides an average value that is useful for understanding the overall trend of the data.

When calculating the mean, every value in the dataset contributes equally to the final result, making it sensitive to extreme values, or outliers, which can significantly affect the mean. This property makes the mean a powerful tool for summarizing a dataset, especially when the data is symmetrically distributed.

In contrast, the median represents the middle value when the data is ordered, and the mode signifies the most frequently occurring value in the dataset. The range simply measures the difference between the highest and lowest values, providing no information about the values in between.