Question

Medal
The frequency polygon below shows the approximate numbers of runners in the 2008 Boston Marathon to finish in each of the given time slots (times are given in hours and minutes).

Find the approximate number of marathoners who finished with times of more than 4 1/2hours.
?marathoners

Answer 1

anyone please help me

Answer 2

so what do you think?

Answer 3

i am not sure where to start

Answer 4

please help me

Answer 5

harz360 - still there?

Answer 6

yes

Answer 7

Okay
At 4.5 hours 2,000 runners finish
At about 5.5 hours 1,000 runners finish
and it seems that for each hour, half of that number finish
6.5 hours 500
7.5 hours 250

If you were to add up 2,000 + 1,000 + 500 + 250 + 125 +63 + etc
It would equal 4,000

Answer 8

yes i understand

Answer 9

So, I guess that's it right?

Answer 10

yes so the answer is 4,000?

Answer 11

That's what I think.
Do you agree FibonacciChick666?

Answer 12

isn't the x axis the clock?

Answer 13

so careful here :)

Answer 14

Yes it's the clock (or elapsed time to be precise)

Answer 15

harz360 - Do I get the medal?

Answer 16

sorry! I didn't get a notification! And, I'm thinking more like 3000 at 4.5hrs

Answer 17

But essentially, because this graph is a bit misleading, we have to interpret what it means first

Answer 18

As wolf did

Answer 19

So you need to find the sum of all the numbers on the graph that are less than the value at 4.5 hours to the final number of finishers. It should be a pretty big number

Answer 20

no i dont think its 3000 because for example if we are looking for the number of marathoners who finished with times of more than 5 hours its 1500 marathoners

Answer 21

What is the value of the graph at 4.5

Answer 22

draw a line up and over to see

Answer 23

also, the graph shows how many people finished at that specific time not the sum of people who finished with more than that amount

Answer 24

yes you right its 3000

Answer 25

thank you

Answer 26

well, that isn't the final answer, you still need to do the summation

Answer 27

np

Answer 28

how would you do summation

Answer 29

I was drawing some grid lines on the graph

Answer 30

well, what is the lowest number of people on the graph that have a time longer than 4.5hrs

Answer 31

lowest number is 1000

Answer 32

You need to look at the points on the graph, not the labelling

Answer 33

lowest is not 1000

Answer 34

use the picture wolf made

Answer 35

its 500

Answer 36

Lowest is 500 - but does that mean that NO ONE took 6 hours or longer?

Answer 37

there we go, so now, you need to add all the numbers between 500 and 3000 if we are to take the graph literally

Answer 38

wolf, it's a math problem of course that's what it means. We can't actually model a realistic situation. That's ludacris****<--sarcasm

Answer 39

Very well - I do know a little about math and even who Leonardo Fibonacci was
1
1
2
3
5
8
13

Answer 40

here are the actual results, http://www.marathonguide.com/results/browse.cfm?MIDD=15080421

and yes, that is the fibonacci sequence. (I wasn't insulting you, I was insulting how math is taught in the US)

Answer 41

so you add up 1 1 1 2 3 5 8 13

Answer 42

"there we go, so now, you need to add all the numbers between 500 and 3000 if we are to take the graph literally"

This is what you need to do

Answer 43

Fibonacci - where do you get the 3,000?

Answer 44

34

Answer 45

The value at 4.5hrs since we need more than 4.5 we don't include the actual 3000 that's why we add the numbers between

Answer 46

what class is that from

Answer 47

Should be something like 6-7th grade math If I recall correctly

Answer 48

So, as I said, we will add 2,000 + 1,000 + 500
then I said to figure out anyone longer than that

Answer 49

You skipped a bunch of values, and we start at 2999

Answer 50

I skipped a bunch of values? Where?

Answer 51

We need to start with the 4.5-5 hour category, not the 5hr

Answer 52

this math is from grade 7

Answer 53

what are all the values?

Answer 54

Well I'm leaving

Answer 55

ok

Answer 56

@FibonacciChick666 can you at least help me then

Answer 57

like I said, you need to add up how many people finished between 4.5 hrs to the end

Answer 58

4000 + 7500 + 6500+3000 m i right?

Answer 59

where did you get those numbers from?

Answer 60

sorry 3 hours =5500

Answer 61

why are you looking at 3 hours?

Answer 62

u said look between 4.5

Answer 63

I fail to see how that means 3, which is less than 4.5

Answer 64

sorry its 2000

Answer 65

m i right?

Answer 66

no, it is the same as this one. Follow the same approach http://openstudy.com/study#/updates/547147eae4b001ceb26b31d4

Answer 67

okay

Answer 68

if that isn't what you did in class, go with wolf and just add the necessary midpoints(frequencies)

Answer 69

ok i wil try to figure it out tomorow