Question

Q. 17. Compute variance and
standard deviation for the following
data: X 15 20 25 30 35 40 45 Y 13 12 15
18 17 10 13.
Your answer​

Answer 1

Answer:

I give you answer later ok

Answer 2

Answer:

variance = 7.14

standard deviation = 2.67

Step-by-step explanation:

x          f         fx            x-mean       (x-mean)²

15        13       195            -14.9          222.01

20       12       240           -9.9          98.01

25       15       375            -4.9         24.01

30       18       540           0.1            0.01

35       17       595            5.1           26.01

40       10       400            10.1         102.01

45        13      585            15.1          228.01

n = 98

∑fx = 195+240+375+540+595+400+585 = 2930

mean = ∑fx/n

mean = $\frac{2930}{98}$

= 29.9

∑(x-mean)² = 222.01+98.01+24.01+0.01+26.01+102.01+228.01  

               = 700.07

variance, s² = ∑(x-mean)²/n

s² = $\frac{700.07}{98}$

= 7.14

variance of the given data = 7.14

standard deviation = √variance

SD = √7.14 = 2.67

standard deviation of the given data = 2.67