Question

Class / frequency 13-15 / 14, 15-17 / 12, 17-19 / 15 , 19-21 / 16 , 21-23 / 17 , 23-25 / 18 , 25-27 / 13 , 27-29 / 11 *
4 points
Q1 = 17.06, Q3 = 25.17 , Quartile range 8.11 , Quartile deviation = 4.055 , coefficient of quartile deviation = 0.2016
Q1 = 15.06, Q3 = 23.17 , Quartile range 8.11 , Quartile deviation = 4.055 , coefficient of quartile deviation = 0.2016
Q1 = 17.06, Q3 = 25.17 , Quartile range 4.11 , Quartile deviation = 4.055 , coefficient of quartile deviation = 1.2016
Q1 = 17.06, Q3 = 25.17 , Quartile range 10.11 , Quartile deviation = 5.055 , coefficient of quartile deviation = 0.2016​

Answer 1

Answer:

(i) HCF of 24 and 40 is 8.

∴ 24 : 40 = 2440= 24 ÷ 840 ÷ 8= 35 = 3 : 5

Hence, 24 : 40 in its simplest form is 3 : 5.

(ii) HCF of 13.5 and 15 is 1.5.

13.515=135150The HCF of 135 and 150 is 15.=135 ÷ 15150 ÷ 15=910

Hence, 13.5 : 15 in its simplest form is 9 : 10.

(iii) 203 : 152=40 : 45

The HCF of 40 and 45 is 5.

∴ 40 : 45 = 4045=40 ÷ 545 ÷ 5=89 = 8 : 9

Hence, 623 : 712 in its simplest form is 8 : 9

(iv) 9 : 6

The HCF of 9 and 6 is 3.

∴ 9 : 6 = 96=9 ÷ 36 ÷ 3 = 3 : 2

Hence, 16:19 in its simplest form is 3 : 2.

(v) LCM of the denominators is 2.

∴ 4 : 5 : 92 = 8 : 10 : 9

The HCF of these 3 numbers is 1.

∴ 8 : 10 : 9 is the simplest form.

(vi) 2.5 : 6.5 : 8 = 25 : 65 : 80

The HCF of 25, 65 and 80 is 5.

∴ 25 : 65 : 80 = 256580= 25 ÷ 565 ÷ 580 ÷ 5=51316 = 5 : 13 : 16