Statistics

Content

  • Range
  • Variance and Standard Deviation
  • Frequency Distribution

Range

Range = Highest value – Smallest value.


Find the Range of the following data : 9, 8, 6, 7, 5, 6, 7, 7, 5.

Range = 9 – 5 = 4.

Variance and Standard Deviation

Find the standard Deviation of the following data : 9, 8, 6, 7, 5, 6, 7.

Variance is the square of Standard Deviation.

Variance = 1.51

Frequency Distribution

A frequency distribution has value (score) and corresponding frequency (Number of people)

Find the Mean, Median, Mode, Standard Deviation of the above data

Mean = ∑fx / ∑f = 305/37 = 8.24


Position of Median = (n + 1)/2

= (37 + 1)/2

= 19

Median = 19th Value = 8


Highest Frequency = 9.

Corresponding value is the mode.

Mode = 12.