Statistics - ESSENTIAL POINTS


  • Graphical representation of data:
  • Bar graphs
  • Histograms of uniform width and of varying widths
  • Frequency polygons
  • Measures of Central tendency

Mean

  • Mean of raw data

  • statistics
  • Mean of ungrouped datawhere f I ’s are frequencies of xi ’s.

  • statistics

Median

  • A median is the value of the observation which divides the data into two equal parts, when the data is arranged in ascending (or descending) order.
  • Calculation of Median - When the ungrouped data is arranged in ascending (or descending) order, the median of data is calculated as follows :
    • When the number of observations (n) is odd, the median is the value of the [(n + 1) / 2]thobservation.
    • When the number of observations (n) is even, the median is the average ormean of the [n/2]th and [(n/2) + 1]thobservation.

Mode

  • The observation that occurs most frequently, i.e., the observation with maximum frequency is called mode.
  • Mode of ungrouped data can be determined by observation/ inspection.

I am in