Measures of Position

• Statistics


  A branch of mathematics that deals with collecting, organizing, presenting, analyzing, and interpreting data to come up with useful and meaningful information
• Measures of central tendency

  • Mean
  • Median
  • Mode
• Finding the mean


  1. Add all the data

  2. Divide by the total number of data
• Median


  The middle number of the data set when arranged in increasing or decreasing order
• Mode


  The value that occurs most often in the data set
• Measures of position


  • Quartiles
  • Deciles
  • Percentiles
• Finding quartiles


  1. Divide the data set into 4 equal parts

  2. Q1 is the lower quartile

  3. Q2 is the median

  4. Q3 is the upper quartile
• Interquartile range


  The difference between Q3 and Q1
• Finding deciles


  1. Divide the data set into 10 equal parts

  2. D1 to D9 are the deciles
• Finding percentiles


  1. Divide the data set into 100 equal parts

  2. P1 to P99 are the percentiles
• Quartiles, deciles, and percentiles

  • Q1 = P25
  • Q2 = D5 = P50
  • Q3 = P75
  • Each decile has a corresponding percentile
• Measures of position divide a data set into equal groups
• • Quartiles divide a data set into 4 equal parts
  • Deciles divide a data set into 10 equal parts
  • Percentiles divide a data set into 100 equal parts