W - 3: SOLVE & INTERPRET QUARTILES(GROUPED DATA)

Cards (6)

  • Quartiles
    Measures of position that divide a set of data into four equal parts
  • Grouped data

    Data formed by aggregating individual observations of a variable into groups, so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data
  • Frequency distribution table shows the class intervals, scores, and frequency
  • Lower boundary (LB)
    The lower limit of each class interval
  • Less than cumulative frequency (<cf)

    The cumulative frequency up to the class before the current one
  • Formula for quartile
    Qk class = kn/4
    Qk = LB + (kn/4 - <cfb) / fQk * i
    LB = lower boundary of the Qk class
    n = total frequency
    <cfb = less than cumulative frequency before the Qk class
    fQk = frequency of the Qk class
    i = size of the class interval
    k = nth quartile