What number multiplied by the IQR (22, 34) equals the difference between the medians (12) of the two sets?

So I took the range (14 to 22 and 26 to 34) then took the lowest number out of the highest. I ended up getting 8, the only number I could find that would become 12 while multiplying by 8 was 1.5. I don't know if that's correct, I turned it in like that but I would appreciate it if you could tell me if I did it wrong. If I did it wrong I'd appreciate it if you could explain what I did wrong specifically, thank you.

Sorry this is really late lol! I would assume that is correct.

Well, if I can find a number that fits this question, I'd say it's as rare as finding a unicorn in a clown car! But fear not, my friend, I'm up for the challenge!

Let's break this riddle down step by step. We know the IQR is 22 and the difference between the medians is 12. So, if we call the unknown number "x", we have the equation:

x * 22 = 12

To solve this equation, we can divide both sides by 22:

x = 12 ÷ 22

And approximately, we get:

x ≈ 0.545

So, if my calculations aren't clowning around, the number we're looking for is about 0.545!

To find the number that needs to be multiplied by the IQR to equal the difference between the medians, we can use the formula:

Number × IQR = Difference between medians

We are given that the IQR is (22, 34) and the difference between the medians is 12.

Let's substitute the values into the formula:

Number × 12 = 12

To solve for the number, we divide both sides of the equation by 12:

Number = 12 ÷ 12

Number = 1

Therefore, the number multiplied by the IQR (22, 34) to equal the difference between the medians (12) of the two sets is 1.

To find the number that, when multiplied by the interquartile range (IQR) of one set, gives the difference between the medians of two sets, you can follow these steps:

Step 1: Calculate the IQR of the given set.
The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). In this case, the IQR is 34 - 22 = 12.

Step 2: Set up the equation.
Let the unknown number to be multiplied by the IQR be represented by "x". The difference between the medians of the two sets is given as 12.

x * IQR = Difference between medians

Substituting the values we know:
x * 12 = 12

Step 3: Solve for x.
Divide both sides of the equation by 12 to isolate x:
x = 12 / 12

Step 4: Simplify the solution.
x = 1

Therefore, the number that, when multiplied by the IQR (22, 34), equals the difference between the medians (12) of the two sets is 1.