Question

Calculate the quartiles. Monthly income No. of teachers 250-275 15 275-300 51 300-325 240 325-350 350-375 375-400 400-425 681 978 744 264 425-450 27​

Answer 1

Find out range and coefficient of range.

ANSWER:

Here,

Highest value (H)= 35

Lowest value (L) = 15

Range= Highest value − Lowest value

i.e. R= H− L

Substituting the given values in the formula

R= 35 − 15= 20

Coefficient of Range is as follows:

CR =

H-L

H+L

or, CR =

35-15

35+15

=

20

50

⇒ CR =0.4

Hence, the range (R) of the above data is 20 and coefficient of Range (CR) is 0.4

Highest value among the prices of shares= 250

Lowest Value among the prices of shares= 160

Range (R) = Highest value (H)− Lowest Value (L)

or, R = 250 − 160

⇒ R = 90

Coefficient of Range (CR)=H−LH+L or, CR=250−160250+160=90410⇒ CR =0.219 or 0.22 ( approx.)

Hence, the Range (R) of the above data is 90 and Coefficient of Range (CR) is 0.22