Statistics and Probability

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  • Maths revision: Statistics and Probability
    • Compound Interest and Depreciation
      • N = No (1+r/100)^n
        • This means: Existing amount = Initial amount (1 + percentage change per day/hour/year) ^ number of days/hrs/yrs/
    • Relative frequency
      • Probability of something happening = no. of times it happened / no. of times you tried
      • The more times you do the experiment, the more accurate the probability is
    • Data
      • Quantitative = quantities
      • Qualitative = descriptive
      • Discrete = recorded exactly
      • Continuous = take any value in an interval
    • Cumulative Frequency
      • Means 'Adding it up as you go along'
      • Shown in Box Plots
    • Histograms
      • Its not the height but the area of the bar that matters
      • Frequency density = Frequency / Class-width
    • Frequency Polygons
      • Shows information from a frequency table
      • A kind of line graph
    • Finding the gradient of a straight line graph
      • !) Find two accurate points a complete the triangle
      • 2) Find the change in Y and the change in X
        • Change in X = X coordinate of point a - X coordinate of point B
        • Change in Y = Y coordinate of point A - Y coordinate of point B
      • 3) Gradient = Change in Y / Change in X
  • Sampling
    • Maths revision: Statistics and Probability
      • Compound Interest and Depreciation
        • N = No (1+r/100)^n
          • This means: Existing amount = Initial amount (1 + percentage change per day/hour/year) ^ number of days/hrs/yrs/
      • Relative frequency
        • Probability of something happening = no. of times it happened / no. of times you tried
        • The more times you do the experiment, the more accurate the probability is
      • Data
        • Quantitative = quantities
        • Qualitative = descriptive
        • Discrete = recorded exactly
        • Continuous = take any value in an interval
      • Cumulative Frequency
        • Means 'Adding it up as you go along'
        • Shown in Box Plots
      • Histograms
        • Its not the height but the area of the bar that matters
        • Frequency density = Frequency / Class-width
      • Frequency Polygons
        • Shows information from a frequency table
        • A kind of line graph
      • Finding the gradient of a straight line graph
        • !) Find two accurate points a complete the triangle
        • 2) Find the change in Y and the change in X
          • Change in X = X coordinate of point a - X coordinate of point B
          • Change in Y = Y coordinate of point A - Y coordinate of point B
        • 3) Gradient = Change in Y / Change in X
    • Stratified sampling = makes sure the proportion  of people in each group is the same in the sample as it is in the whole population.
    • Sample frame = list/map of all the members of the population
    • Population = group you want to investigate
  • Quartiles and interquartile range
    • Quartiles divide data into four equal groups
      • Lower quartile (Q1)
      • Median (Q2)
      • Upper quartile (Q3)
    • To find Quartiles
      • 1) Put the values in ASCENDING order
        • 2) Work out the quartiles using the following formulas:
          • Q1 = (n+1)/4
          • Q2 = 2(n+1)/4
          • Q3 = 3(n+1)/4
    • Interquartile = 'Between Quartiles'
      • Interquartile range is the difference between the upper and lower quartile
  • To find Quartiles
    • 1) Put the values in ASCENDING order
      • 2) Work out the quartiles using the following formulas:
        • Q1 = (n+1)/4
        • Q2 = 2(n+1)/4
        • Q3 = 3(n+1)/4
  • Interquartile = 'Between Quartiles'
    • Interquartile range is the difference between the upper and lower quartile
  • Frequency Tables
    • Mean is found using: 3rd Row total/2nd Row total
    • Median found from middle value in 2nd row
    • Range found from extremes of the first row

Comments

Bham369

Not so good! Sorry

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