Mean Median and Mode

Mean Median and Mode

  1. Mean (Average)
    The mean is the sum of all values in a data set divided by the total number of values. It is the most commonly used measure of central tendency and gives the “average” of the data.

Formula:

Mean =Sum of all values / Number of values
Example:
Data: 2, 4, 6, 8, 10

Mean =(2+4+6+8+10) / 5 = 30 / 5 = 6

Median
The median is the middle value in a data set when the values are arranged in ascending or descending order. If the data set has an odd number of values, the median is the middle one. If it has an even number, the median is the average of the two middle values.

    Steps to Find the Median:
    Arrange the data in ascending order.
    If the number of values (n) is odd, the median is the value at position (𝑛+1)/2
    If the number of values (n) is even, the median is the average of the values at positions 𝑛/2 and 𝑛/2+1

    Example:
    Data: 2, 4, 6, 8, 10

    Since there are 5 numbers (odd), the median is the third number in the ordered list: Median = 6

    For an even set, say: 1, 3, 5, 7

    Median =
    (3+5)/2 = 4
    Mode
    The mode is the value that appears most frequently in a data set. A data set may have:

      No mode if no value repeats.
      One mode (unimodal) if one value occurs more often than others.
      Multiple modes (bimodal or multimodal) if two or more values occur with the same highest frequency.
      Example:
      Data: 2, 4, 6, 6, 8, 10

      The mode is 6, since it appears twice, more frequently than other numbers.

      Data: 1, 2, 2, 3, 3, 4

      The mode is 2 and 3, making it bimodal.

      Summary:
      Mean is the average, calculated by dividing the sum of all data points by the number of points.
      Median is the middle value when data is sorted in order.
      Mode is the most frequent value in the data set.