Question

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.

Answer 1

@iGreen could you help me please?

Answer 2

Any ideas?

Answer 3

Begin with what the question is asking for.

Answer 4

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

Answer 5

That's a good start :-)

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

Ok, that answers the "numerical argument"

What about the graphical?

Answer 10

What does "graphical" mean?

Answer 11

visualizing quantititive data i believe

Answer 12

Correct.
How do you want to visualize this data?

Answer 13

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

Answer 14

How do you know it is exponential?

Answer 15

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

Answer 16

Yes, now you are getting the idea.

We need to study the "fluctuation" graphically.

Answer 17

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 :(

Answer 18

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

Answer 19

Ok, now what?

Answer 20

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

Answer 21

Sounds like a good idea :-)

Answer 22

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

Answer 23

icic

Answer 24

sorry what

Answer 25

You can compare that to the mean you calculated, right?

icic = i see, i see

Answer 26

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

Answer 27

Let's return to the ordered list that you made and group together people of the same age

and then make a quick histogram.

Answer 28

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?

Answer 29

Yes.

Answer 30

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:

Answer 31

Try doing it by hand first.

Answer 32

ok

Answer 33

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

Answer 34

thats where i got the highest percentile

Answer 35

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

Answer 36

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. "

Answer 37

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

Answer 38

Also, draw a neatly labeled histogram and

show where on the graph the mean and median are located.

Answer 39

ok thank you so much!!

Answer 40

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

Answer 41

ok thanks!

Answer 42

Thanks for trying to learn :)