Question

find the mean deviation from the median for of the following set of observations.68,57,42,49,55​

Answer 1

Answer:

Arranging the given data in an ascending order, we get :

36, 42, 45, 46, 48, 50, 51, 53, 60, 72.

Here n=10, which is even.

∴ median=12.{n2th observation+(n2+1)th observation}

=12(5th observation + 6th observation)

=12(48+50)=982=49.

Thus, M=49.

The values of (xi−M) are

−13,−7,−4,−3,−1,1,2,4,11,23.

∴ Σi=110|xi−M|=(13+7+4+3+1+1+2+4+11+23)=69

⇒ MD(M)=Σi=110|xi−M|10=6910=6.9.

Answer 2

Answer:

54.2

Step-by-step explanation:

let mean =50

then by using deviation

+18+7-8-1+5=21

mean=50+21/5=54.2