GCSE:Statistics Formula Sheet

Pearson's Product Moment Correlation
1. r=Sxy÷√(SxxSyy)
  1. Sxy= Σxy(ΣxΣy÷n)
  2. Sxx=Σx²-(Σx)²÷n
  3. Syy=Σy²-(Σy)²÷n
Symbols
1. <=Less Than
2. >=More Than
3. ≥ =Grater Than or Equa to
4. ≤= less than or equal to
Pie Charts
1. Angle in Pie= Number in Category÷Total Number of Values x 360
Frequency Density
1. Frequency Density= Frequency÷ Class width
2. Frequency= Frequency Density x Class Width
Mean
1. x̅=∑x÷n or x̅=∑fx÷∑f
Standard Deviation
1. √∑fx²÷∑f-x̅
Q1,Q2,Q3,IQR
1. Q1=n+1÷4
2. Q2=n+1÷2
3. Q3=Q1+Q2
4. IQR=Q3-Q1
5. Outliers are values that are:>Q1+1.5(Q3-Q1) or <Q1-1.5(Q3-Q1)
Index Numbers
1. Value÷VAlue in Base Year x 100
2. Weighted Index Number= ∑(index no. x weight)÷∑wright
Probability
1. P of an Event= Number of outcomes matching event÷total number of outcomes
2. P of Something Happening= No. of Times its happened÷ Number of Trials
Mean Co-ordinates
1. Mean X Co-Ordinate=∑x÷n
2. Mean Y Co-Ordinate=∑y÷n
Equation of the Line
1. y=mx+c
  1. m=gradient
  2. c= Where the line goes through the y axis
Standerdised Value
1. Value-Mean÷Standard Deviation

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