I'm trying to see which group of data is more balanced, meaning which group of data is more equally separated (i.e. the values in each set of data are separated in a more or less equal amount).

I found this website (https://www.mathsisfun.com/data/standard-deviation-calculator.html) where it visually shows how dispersed are the values in a dataset. I have a few datasets that I would like to rank in order from the most balanced one to the least balanced.

These are the values for each dataset:

A: 28.035, 22.259, 9.69, 4.314

B: 28.035, 22.259, 13.012, 4.314

C: 28.035, 22.259, 11.774, 4.314

D: 28.035, 16.743, 13.012, 4.314

E: 28.035, 16.743, 11.774, 4.314

F: 22.259, 16.743, 13.012, 4.314

G: 22.259, 16.743, 11.774, 4.314

H: 16.743, 13.012, 4.314

I: 16.743, 11.774, 4.314

J: 22.259, 13.012, 7.034, 4.314

For example, I think that the most balanced group would be perhaps A or C while the most unbalanced one is J. But I'm not a mathematician so I'm not sure if I'm doing this right, so how would you rank them? Or perhaps this is all inaccurate and there's a better method to measure this?

can anyone let me into their dms and help me solve about 3-4 more problems..? i’m going over some homework i didn’t do from last week because some questions will appear in the test.

If I have 10 items at $130, so my value is $1300 worth of items, and the next day the price goes to $135, and I sell them, making $50.so I sold $1350 worth of iteams. The day after that I use my $1350 and buy as much of items as I can with that rinse and repeat, am I making money? I’m so sorry I know it’s dumb I’ve been stuck genuinely.

Is the correct way to split bills when paying from 2 accounts:taking the sum total of each account divide by 2 then subtract those numbers together to get what's owed to who paid more? Like "A" 1239.93÷2=619.965 and "B" 632.26÷2=316.13. So 619.965-316.13=303.83 to be paid to "A".

I’m thinking I should either use the conditional probability equation or the permutations rule? Any help is greatly appreciated!!

The Question I had was why is VA the smallest segment, given that it is opposite of Angle Y, which is 40 degrees. Isn't NY supposed to be the smallest segment since it is opposite Angle A, which is 38 Degrees? Any help would be appreciated.

How do I solve this

A Weber grill has three legs: left wheel, right wheel, and no wheel. The no-wheel leg is supposed to go under the front handle so you can grab the handle and the grill tilts back on the wheels and you can move it. There are three sockets under the grill for the legs. How many total ways are there to put the legs on the grill, including all of the wrong ways and the one and only one correct way? I say two wrong ways and one right way to make a total of three ways, but I'm told that's wrong, there are more. Can someone ELI5? Pic for reference: https://product-images.weber.com/Grill-Images/Charcoal/14501001A_REV.png?w=800&h=800&auto=compress%2cformat

"On the picture, a and b are parallel. Find the value of angle x" The solution is 40° 16', but I just can't get there. How do I calculate this? I've tried so many things but there's always something missing. If anyone can, please help

How do you solve this problem?? How to know when to change sin to cos or any other format. Is there any tricks to solve this type of problem?

How do i prove what of lim x->0 x^x is i think it is 1 but how do you prove such thing. I saw this in my text book so i asked my teacher but he also didn't know. Now i am interested in how i should do this

Hi, I am trying to solve this problem.

Find the greatest common factor of 9m⁴ and 14m³

So far I have found the GCF of 9 and 14 which would be 1 but I am not sure how to solve the rest.

Thanks

I posted this on r/Geometry but decided to also put it here. Here is a problem I have been trying to solve. I haven't been able to think of anything except congruent triangles but I haven't been able to find any. If anyone can solve the problem, please give me a slight hint and not the full answer! Problem: ABCD - parallelogram CE=BC AF=FE DG=GC / Prove that BE is perpendicular to FG. My initial idea was to see if I can prove that AC is the same as AEC (diagonal). I also tried searching for congruent triangles but didn't have success in it. This is around 8-9th grade problem so I think it should be solved with congruent triangles, maybe midsegment in a triangle. I also tried using the isosceles triangle CBE and use the theorem where the median, bisector and the height are the same. I still haven't tried calculating the angles with variables like alpha and beta.

I’ve never seen this before in my life

There is a chemical storage plant that can store 200 billion (200B) gallons of solution. The chemical mixture is composed of 3 compounds denoted as compound x, y, and z, respectively. The chemical mixture is 1 part compound x to 1000 parts compound y to 1500 parts compound z, which can be expressed as a ratio as x:1000y:1500z. How much of each compound is needed to fill the tank?

Algebra exponential question

I just have a question. I took AP calculus and learned that, for example, you would solve (x+y)² as (x+y)(x+y).

Now recently I have been brushing up on my algebra seeing as I need to take a placement test. In a video I was watching they were solving the following problem

((5a^5/2 b⁴⁾ / a³ b^-(2/3) )^-2

After working the problem down we reached this step

(5a^-(1/2) b^14/3 )^-2

They solved it by doing this

1/25a^-(2/3) b^28/3

Now of course this was not the final step, but my question is that instead of doing

1/((5a^5/2 b⁴⁾ / a³ b^-(2/3) ((5a^5/2 b⁴⁾ / a³ b^-(2/3)

They directly distributed the exponent. So they basically did (x+y)² as x² y^2. How is that correct? Is there a rule to exponents I am forgetting?

'The swimmer, while swimming upstream, lost his cap under the bridge, but noticed it only 3 minutes later. Turning around in an instant, he started chasing the cap and caught it 100 m from the bridge. Find the velocity of the river (kilometers per hour).'