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measures of central tendency
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measures of central tendency
Measures of central tendency are statistics used to summarize a data set by providing a representative measure of the center of the values.
- These measures summarize the data and provide information about your central location. They are useful for understanding the distribution and characteristics of a data set. By using measures of central tendency, you get an overview of the data and make it easier to analyze and understand the information in a concise way.
There are three common measures: the mean, the median, and the mode.
- average
- The average is obtained by adding all the values and dividing the sum by the total number of values. It is sensitive to extreme values and can be biased if there are outliers.
- Arithmetic mean: is the sum of all the values divided by the total number of values.
- Weighted average: weights are assigned to the values and the average is calculated considering these weights.
- Geometric mean: it is used to calculate the average of growth or multiplication rates.
- The average is obtained by adding all the values and dividing the sum by the total number of values. It is sensitive to extreme values and can be biased if there are outliers.
- Median
- The median is the central value that divides an ordered data set into two equal parts. It is not affected by extreme values, which makes it a robust measure.
- Quartiles: the ordered data set is divided into four equal parts. The three quartiles divide the data into four groups, each containing 25% of the values.
- Deciles: the ordered data set is divided into ten equal parts, each with 10% of the values.
- Percentiles: the ordered data set is divided into one hundred equal parts, each with 1% of the values.
- The median is the central value that divides an ordered data set into two equal parts. It is not affected by extreme values, which makes it a robust measure.
- Mode
- The mode is the value that appears most frequently in the data. There may be one mode (unimodal) or multiple modes (multimodal). It helps to identify the most common values.
- Unimodal mode: identifies the most frequent value in the data set.
- Multimodal mode: identifies several values with the same maximum frequency.
- The mode is the value that appears most frequently in the data. There may be one mode (unimodal) or multiple modes (multimodal). It helps to identify the most common values.
- average
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- Mind Map on measures of central tendency, created by Heidy Urrea on 09/02/2022.
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- Heidy Urrea
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