Stats help please?
The ages of the Oscar-winners for best actor and actress for the years 1970 through 1990 are given below:
Women:34,34,26,37,42,41,35,31,41,33,30,74,33,49,38,61,21,41,26,80,72
Men:43,40,48,48,56,38,60,32,40,42,37,76,39,55,45,35,61,33,51,32,42
Discuss apparent difference in the ages of Oscar-winning men and women. Use both a numerical and graphical argument.

- hockeychick23

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- hockeychick23

@iGreen could you help me please?

- skullpatrol

Any ideas?

- skullpatrol

Begin with what the question is asking for.

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- hockeychick23

ok thanks, i think i need to find the mean of the data sets of men and women so i got 41.8571428571 as the mean of women and 45.380952381 as the mean of men but i don't know what to do next

- skullpatrol

That's a good start :-)

- hockeychick23

thanks :) I'm not sure what to do next though :/

- skullpatrol

The question asks you to "Discuss apparent difference in the ages", can you see any?

- hockeychick23

yea it seems like the mean age of men is older (3.5238095239 years older)

- skullpatrol

Ok, that answers the "numerical argument"
What about the graphical?

- skullpatrol

What does "graphical" mean?

- hockeychick23

visualizing quantititive data i believe

- skullpatrol

Correct.
How do you want to visualize this data?

- hockeychick23

would i show the exponential growth in ages on a graph for both men and women?

- skullpatrol

How do you know it is exponential?

- hockeychick23

oh your right sorry it isn't always exponential, looking at the data it looks like it fluctuates a lot between 1970 and 1990, I'm not quite sure how i would word that

- skullpatrol

Yes, now you are getting the idea.
We need to study the "fluctuation" graphically.

- skullpatrol

Why don't we start by putting the data in increasing numerical order and look for any patterns?
Note: we are not told that the data is given in chronological order :(

- hockeychick23

ok awesome, thanks! so i got: Women:21,26,26,30,31,33,33,34,34,35,37,38,41,41,41,42,49,61,72,74,80
Men:32,32,33,35,37,38,39,40,40,42,42,43,45,48,48,51,55,56,60,61,76

- skullpatrol

Ok, now what?

- hockeychick23

would the next step be to find the median of each set?

- skullpatrol

Sounds like a good idea :-)

- hockeychick23

Ok :) so i got
Women: 37
Men: 42

- skullpatrol

icic

- hockeychick23

sorry what

- skullpatrol

You can compare that to the mean you calculated, right?
icic = i see, i see

- hockeychick23

oh sorry haha :) so i get:
women:41.8571428571-37=4.8571428571
men:45.380952381-42 =3.380952381

- skullpatrol

Let's return to the ordered list that you made and group together people of the same age
and then make a quick histogram.

- hockeychick23

ok do i take
women:21,26,26,30,31,33,33,34,34,35,37,38,41,41,41,42,49,61,72,74,80
Men:32,32,33,35,37,38,39,40,40,42,42,43,45,48,48,51,55,56,60,61,76
and subtract 80-21 for the interval of women and 76-32 for the interval of men?

- skullpatrol

Yes.

- hockeychick23

ok so i got 59 as the interval of women and got 44 for the interval of men. I tried to create a histogram online but i don't think it took the data correctly, it looks like this:

##### 1 Attachment

- skullpatrol

Try doing it by hand first.

- hockeychick23

ok

- hockeychick23

i drew the histogram of the data and it seems like the majority of women are in their 30s and the majority of men are in their 40s

- hockeychick23

thats where i got the highest percentile

- skullpatrol

Good job, summarize your work and hand it in :D

- hockeychick23

ohh wow thanks! so i can just say "the numerical argument is: the mean of the data sets of men and women so i got 41.8571428571 as the mean of women and 45.380952381 as the mean of men and the mean age of men is older (3.5238095239 years older)
graphical argument: this is visualizing quantitative data;the data fluctuates between 1970 and 1990 the median of women is 37 and median of men is 42. Comparing this to the mean I get: women:41.8571428571-37=4.8571428571 and men:45.380952381-42 =3.380952381. 59 is the interval of women and 44 is the interval for men. "
Graphically: "The majority of women are in their 30s and the majority of men are in their 40s, this is where i get the highest percentile. "

- skullpatrol

I would only use two decimal places in your values :-)

- skullpatrol

Also, draw a neatly labeled histogram and
show where on the graph the mean and median are located.

- hockeychick23

ok thank you so much!!

- skullpatrol

It is important for you to state that as we said "Note: we are not told that the data is given in chronological order"

- hockeychick23

ok thanks!

- skullpatrol

Thanks for trying to learn :)

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