KnowledgeBoat Logo

Mathematics

The mean of observations, given in the adjoining table, is 20, the value of a is :

xffx
1010
20a
3010
  1. 20

  2. 30

  3. 10

  4. 25

Statistics

28 Likes

Answer

By formula,

Mean = ΣfxΣf\dfrac{Σfx}{Σf}

xffx
1010100
20a20a
3010300
TotalΣf = 20 + aΣfx = 400 + 20a

Substituting values we get :

20=400+20a20+a\Rightarrow 20 = \dfrac{400 + 20a}{20 + a}

⇒ 20(20 + a) = 400 + 20a

⇒ 400 + 20a = 400 + 20a

The above equation cannot be solved, so the question is incorrect.

Answered By

19 Likes


Related Questions