State A:
21,22,22,23,23,23,24,24,25
minimum = 21
Q1 = 22
Q2(median) = 23
Q3 = 24
maximum = 25
IQR = Q3 - Q1 = 24 - 22 = 2
state B:
20,20,21,22,23,23,24,46,50
minimum = 20
Q1 = (20 + 21)/2 = 20.5
Q2(median) = 23
Q3 = (24 + 46)/2 = 35
maximum = 50
IQR = 35 - 20.5 = 14.5
I do not believe they are symmetrical....I think state B is skewed to the right
Y intercept = 34, the level of the water now.
y= -.5x+34
Remark
What the question is saying is that you are setting up a proportion. Ordinarily a child would require 125 mg be put into 5 mL of liquid. This child is special and only requires 100 mg. How many mL are needed?
Proportion
125 mg : 5 mL :: 100 mg: x
Solution
125 / 5 = 100 / x Cross multiply
125x = 500 Divide by 125
125x/125 = 500/125 Do the division
x = 4
Answer
100 mg would be put in 4 mL of liquid
The machine can make 6 pens per second