Please solve example 4 by shortcut method

Let assumed mean be A = 17
xi fi di = xi − A = xi − 17 di2 fidi fidi2
4 3 −13 169 −39 507
8 5 −9 81 −45 405
11 9 −6 36 −54 324
17 5 0 0 0 0
20 4 3 9 12 36
24 3 7 49 21 147
32 1 15 225 15 225
  N = 30     ∑fidi = −90 ∑fidi2 = 1644

VarX = 1Nifidi2 - 1Nifidi=164430 - -90302= 54.8 - 9=45.8Standard deviation = VarX = 45.8 = 6.77approx

  • 0
What are you looking for?