The Big 3 of Statistics – Mean, Median, and Mode Explained!

The Big 3 of Statistics – Mean, Median, and Mode Explained!

Edu-Spot covering the three methods of Mean, formula of Mode, and two formulas of Median

Three Methods to Find Mean (Average):

  1. Direct Method:

Mean =

(Used for ungrouped or small grouped data)

  1. Assumed Mean Method:

Mean= A+

Where A = assumed mean, d = x−A   

  1. Step-Deviation Method:

Mean=  A+

Where u=​, and h = class width

📌 Formula for Mode (for grouped data):

Mode= l+

Where:

  • l = lower boundary of modal class
  • f1​ = frequency of modal class
  • f0​ = frequency before modal class
  • f2 = frequency after modal class
  • h= class width

📈 Two Formulas of Median (Grouped Data):

Even & Odd Formula

Step 1: Arrange the data in ascending order.

🔢 If the number of values (n) is ODD:

Use the formula:

Median=Value at position ()  

🔢 If the number of values (n) is EVEN:

Use the formula:

Median= ()

  1. For Continuous Frequency Table:

Median=  l+ ( X h

Where:

  • l = lower boundary of median class
  • F = cumulative frequency before median class
  • f = frequency of median class
  • h = class width
  1. Empirical Relationship Formula (if mode and mean are known):

3 Median = 2Mean + Mode  ​

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