Median vs. Second Quartile question

  • #1

Homework Statement



Lets say I have a list of numbers.

income=[17000, 11000, 23000, 19999, 21000, 10000]

I sort them income_sorted=[10000, 11000, 17000, 19999, 21000, 23000]

Calculate med 2nd Quartile.

Homework Equations



Median_formula = (n+1)/2

The Attempt at a Solution



The second quartile and the median are most cases the same, so the median is 17000.

Then since there 6 observations.

I use the formula to Calculate the median and find that median = (6+1)/2 = 3.5

Meaning that the median is between the third and fourth number.

Find the average between those (17000+19999)/2 = 18500.

So my question aren't the median and 2.quartile suppose of a set of non-grouped observations suppose to equal each other? Or have I slept through statistics class?
 

Answers and Replies

  • #2
467
88
So my question aren't the median and 2.quartile suppose of a set of non-grouped observations suppose to equal each other? Or have I slept through statistics class?

You are correct in saying that the median and the second quartile (Q2) are the exact same thing. I believe you calculated the median correctly the second time (by averaging terms 3 and 4). What led you to say that the median is 17000?
 
  • #3
CWatters
Science Advisor
Homework Helper
Gold Member
10,533
2,298
[strike]I'm a bit rusty but I thought the median was a single value but a quartile was a range.[/strike]

I was wrong.
 
  • #4
467
88
[strike]I'm a bit rusty but I thought the median was a single value but a quartile was a range.[/strike]

I was wrong.
maybe you're thinking about the inter-quartile range?

Sorry, just saw the edit now.
 
  • #5
CWatters
Science Advisor
Homework Helper
Gold Member
10,533
2,298
maybe you're thinking about the inter-quartile range?

Sorry, just saw the edit now.
That was probably it.
 

Related Threads on Median vs. Second Quartile question

Replies
2
Views
16K
  • Last Post
Replies
5
Views
959
  • Last Post
Replies
2
Views
509
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
2
Views
2K
Replies
10
Views
181
Replies
1
Views
711
Replies
17
Views
319
Replies
2
Views
1K
Replies
3
Views
3K
Top