Question

If the quartile deviation of a normal curve is 4.05 then its mean deviation is

Answer 1

Formulaes :

Quartile deviation = (2/3) × α

Where α is standard deviation.

2/3α= 4.05

α = 4.05 × 3/2

α = 6.075

Mean deviation = 4 / 5α

This equals to :

(4/5) × 6.075 = 4.86

Answer 2

Answer:

Quartile deviation is 2.7

Step-by-step explanation:

We know the relation between quartile deviation and mean deviation which is given by

Mean deviation =3/2 × quartile deviation

Now, we have been given that quartile deviation of a normal curve is 4.05.

On substituting this value in the above formula, we get

4.05 = 3/2 × quartile deviation

4.05 = 1.5 × quartile deviation

Divide both sides by 1.5, we get

quartile deviation = 4.05/1.5

quartile deviation = 2.7

Therefore, quartile deviation is 2.7