Math, asked by rewanthrevanaidu, 1 month ago

For a distribution, the sum of lower and upper qualities is 50 and their difference is 10.
Find the coefficient of Q.D.​

Answers

Answered by ds2125623
0

Answer:

Sum of upper and lower quartiles (Q

1

+Q

3

)=100

Difference between upper and lower quartiles (Q

3

−Q

1

)=40

Median(Q

2

)=30

Using Q

1

+Q

3

=100...(i) &Q

3

−Q

1

=40...(ii)

the values of Q

1

&Q

3

can be found.

Adding eq

n

(i)&(ii)

Q

3

+Q

1

=100

Q

3

−Q

1

=40

⇒2Q

3

=140

⇒Q

3

=70

Now, putting the value of Q

3

in eq

n

(i)

70+Q

1

=100

⇒Q

1

=30

Now using the values of Q

1

,Q

2

&Q

3

in the formula for

Bowley's coefficient of skewness, we have,

⇒Sk

b

=

Q

3

−Q

1

Q

3

+Q

1

−2Q

2

⇒Sk

b

=

70−30

70+30−(2×30)

⇒Sk

b

=

40

40

=1

Similar questions