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M

Maximum (MAX)

(Last edited: Tuesday, 14 March 2017, 8:55 AM)

 

 

  • Largest number in a data set
  • Example:
Set of numbers: 3,4,5,5,5,6,7

MAX= 7

Mean (μ, x̄)

(Last edited: Tuesday, 14 March 2017, 8:55 AM)
  • (Arithmetic) average
  • Sum of all observations divided by the number of observations
  • Formula:  μ= (x1+ x2+ …+ xi)/ n
  • Example: 

Set of numbers: μ  = 3, 4, 5, 5, 5, 6, 7 = (3 +4 +5 +5 +5 +6 +7)/ 7 = 35/ 7= 5

 

 

Median

(Last edited: Tuesday, 14 March 2017, 8:55 AM)
  • Value of the observation that falls in the middle when observations are ranked in order
  • Formula: 
  1. Uneven number of observations: Median= x(n+1)/2
  2. Even number of observations: Median= (x(n/2)+ x(n+2)/2)/ 2
  • Example: 

Order all observations from smallest to highest number

  1. Uneven number of observations: n= 7 
Set of numbers (ordered from smallest to biggest number): 3, 4, 5, 5, 5, 6, 7 
Median: x(n+1)/2 = x(7+1)/2= x4→ x4= 5
 
2. Even number of observations: n= 8

Set of numbers (ordered from lowest to highest number): 3, 4, 5, 5, 6, 6, 7, 9

Median: (x(n/2)+ x(n+2)/2)/ 2= (x(8/2)+ x(8+2)/2)/ 2= (x4+ x5)/ 2= (5+ 6)/ 2= 11/ 2= 5.5

 

 

 

Minimum (MIN)

(Last edited: Tuesday, 14 March 2017, 8:55 AM)

  • Smallest value in a data set
  • Example:
Set of numbers: 3,4,5,5,5,6,7
MIN= 3



Mode

(Last edited: Tuesday, 14 March 2017, 8:55 AM)

  • Most frequent value in a data set
  • Example:
Set of numbers: 3, 4, 5, 5, 5, 6, 7

Mode= 5


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