In statistics, the mean, median, mode, and range are different ways to analyze a set of numerical data. They are often referred to as measures of central tendency and dispersion.

Mean (Average)

The mean is the average of a set of numbers. To calculate it, you simply add up all the numbers and then divide by how many numbers are in the set.

Example: For the numbers {2, 3, 5, 6, 8}

• Sum: $2+3+5+6+8=24$

• Count: There are 5 numbers.

• Mean: $24÷5=4.8$

Median

The median is the middle number in a sorted list of numbers. To find it, you must first arrange the numbers in order from least to greatest.

• If there is an odd number of values, the median is the single middle number.

  • Example: For {2, 3, 5, 6, 8}, the median is 5.

• If there is an even number of values, the median is the average of the two middle numbers.

  • Example: For {2, 3, 5, 6, 8, 9}, the middle numbers are 5 and 6. The median is $(5+6)÷2=5.5$.

Mode

The mode is the number that appears most often in a set of numbers. A data set can have one mode, more than one mode, or no mode at all.

• Example: For {2, 3, 5, 5, 6, 8}, the mode is 5.

• Example: For {2, 2, 5, 6, 6}, the modes are 2 and 6.

• Example: For {1, 2, 3, 4, 5}, there is no mode.

Range

The range is the difference between the highest and lowest numbers in a data set. It shows how spread out the data is.

• Example: For the numbers {2, 3, 5, 6, 8}

• Highest number: 8

• Lowest number: 2

• Range: $8-2=6$

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• Mean, Median, Mode and Range Wayground

  
  

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