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When does the mean serve as the most accurate indicator of central tendency? When your data distribution is continuous and symmetrical, such as when your data is normally distributed, the mean is usually the best measure of central tendency to utilise.

The mean, median, mode, and midrange are the four measurements of central tendency. The arithmetic mean of the highest and minimum values in a data collection is the mid-range or mid-extreme of a set of statistical data values.

Central Tendency Measures are a summary measure that seeks to summarise an entire collection of data with a single value that indicates the middle or centre of its distribution. The mean, median, and mode are the three primary metrics of central tendency.

The leading measures of central tendency for grouped data are:

  • Mean The average value of a group.
  • Median: The middle value in a group.
  • Mode: The most frequently occurring value in a group.
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Central tendency is a measure of the center of a set of data. The most common measures are the mean, median, and mode.

  • Mean: The arithmetic average is calculated by adding together all the values in a data set and dividing by the number of values in that set. This can be expressed as
  • Median: The median is found by arranging all the values in a data set in order from smallest to largest and finding the value that divides them into two halves; if there are an even number of values, then the median will be one less than their mean. This can be expressed as
  • Mode: The mode is found by arranging all the values in a data set from smallest to largest and finding which value appears most frequently.

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