Question

Statistics : Histogram.

The histogram shows the temperature, in degrees Celsius, of a city (x) on different days (y):

Answer 1

It is a bell curve with a longer tail on the left because of the presence of more days with lower temperatures.

It is a bell curve with a longer tail on the right because there are more days with lower temperatures than higher temperatures.

It is a bell curve with a longer tail on the left because there are more days with lower temperatures than higher temperatures.

It is a bell curve with a longer tail on the right because there are more days with higher temperatures than lower temperatures.

Answer 2

@mathmale

Answer 3

First, are you able to define "skewed left" and "skewed right?"
Secondly, have you tried eliminating the least-likely-to-be-correct answers?

Looking at the graph (which is a histogram), what is the significance of the longest vertical bar?

Answer 4

It is -8.

Answer 5

And i'm only familiar with skewing on a box and whisker, not histogram. :(

Answer 6

Superdude, I'm asking you to explain the SIGNIFICANCE of that bar being longest / tallest. What does -8 represent? What does the length of that bar represent?

Answer 7

Oh, ok. It represents the temperature in celcius.

Answer 8

-8 represents the temperacture. Yes. What about the vertical dimension of that bar?

Answer 9

I'm not sure what that is. My teacher didn't go that in-depth with it.

Answer 10

The range of it is -10 - -5

Answer 11

True. The vertical dimension is '8 days.' Explain as best you can what that means here.

Answer 12

8 days is how long the temperature stayed at -10 to -5

Answer 13

Not how long, but ON HOW MANY DAYS

Answer 14

the temperature was between -5 and -10.

Answer 15

Was the temperature range -5 to -10 the most common or the least common temperature, or neither?
I'm trying to help you understand what this graph can tell you if you know what to look for.

Answer 16

Oh, -5 to -10 was the most common temperature.

Answer 17

EXACTLY. Congrats.

On how many days was the temperature range 20 to 25 degrees?

Answer 18

Think before you answer.

Answer 19

There were no days, since it goes down in an amount of 1 every time.

Answer 20

from -5 to 0

Answer 21

You see NO vertical bar for the temperature range 20-25 degrees. Agree or disagree?

Answer 22

Agree

Answer 23

OK, so we're in agreement that the temperature never exceeded 20 degrees. Right?

Answer 24

Yep.

Answer 25

OK. Good. Now, please give me the three most common temperature ranges, using the info we have been discussing here.

Answer 26

-15 to -10
-10 to -5
-5 to 0

Answer 27

Very good. Note how all of the graphs shown are roughly (if not perfectly) bell-shaped.

Answer 28

Yes.

Answer 29

Therefore you can ignore the word "bell shaped" because it appears in all four answer choices.

Answer 30

Yep lol

Answer 31

OK. Now look at the 4th answer choice. Would you be inclined to reject that choice, hold it for later, or choose it as the correct answer, and why?

Answer 32

I think it's D, since there are more days with the high temps, rather than the colder temperatuers.

Answer 33

I actually think it would be B

Answer 34

@mathmale D:

Answer 35

@mathmale Goodnight, sweet prince ;-;

Answer 36

@hartnn Can you finish the job? ;-;

Answer 37

I'm so sorry for the interruption. OpenStudy was down ("Uh-oh, lost the connection"), and I was away taking a shower. When you are back on OpenStudy, tag or message me; if I'm on myself, I'll resume our discussion.

Answer 38

:DDD

Answer 39

@superdude123: please defend your choice of answer B.

Note that I am on OpenStudy intermittently, so don't think I'm neglecting you if I don't respond immediately.

Answer 40

Uhhhh. I think it is B since there are a lot more temperatures on the right. And it looks like it's skewed to the right

Answer 41

What do you think?

Answer 42

@mathmale I don't have much longer, man. :/

Answer 43

Here I go apologizing again. B is right, and your reasoning is correct.

Answer 44

:D

Answer 45

Delighted for having thad this chance to work with you. Whenever you see that I'm online and you want my help, by all means tag or message me. I like your attitude and willingness to work.

Answer 46

And can you check one of my answers to another question, please?

Answer 47

It'll take no longer than 1 minute

Answer 48

Ah, nevermind. You helped me enough :)

Answer 49

Thanks again Mathmale

Answer 50

I always prefer to give you feedback on your reasoning, but because you have shared some reasoning with me already, yes, I'll look at your result.

Answer 51

Ok!

Answer 52

Ready, aim, fire. Have bulletproof vest on.

Answer 53

What are your thoughts about this one? If you're in doubt regarding what to do, you might try copying down the table BUT rearranging the number of days variable in increasing order.

Answer 54

For example: 0 3 4 5 ... in increasing order.

Answer 55

will the number of boxes of cereal left on the shelf be increasing or decreasing? why?

Answer 56

I'm not sure what you mean

Answer 57

Currently your independent variable (the number of days) reads as follows:
5 3 8 6 0 4

I am asking you to rearrange your data (both independent and dependent variables) so that the indept. var. is in increasing order:

0 3 4 5 6 8

and then (though not strictly necessary) graphing the data after this re-arrangement.

Answer 58

Ok, I'll graph it in Geogebra after I eat lunch. Give me like 5 minutes. I'll tag you when I'm done :>

Answer 59

OK. Also please describe what you see in this graph. What does it tell you?

Answer 60

I am back, @mathmale

Answer 61

i think it actually may be B. Since it is decreasing, and the cereal seems like it's not being restocked

Answer 62

You're back :D

Answer 63

Actually, the problem statement says that the cereal is not being restocked. So, if any of the cereal is sold, the quantity (number of boxes) remaining will be less and less over time. It's important that you understand this concept.
Have you tried graphing the data after re-arranging the order of the independent variable?

Answer 64

I did not. Give me about 45 seconds and I will

Answer 65

For some reason it's not running.

Answer 66

'm getting a java virtual machine error.

Answer 67

doing that is not strictly necessary, but I predict doing so will make it easier for you to undrstand what is happening in this problem.

Answer 68

Please just do this manually. Horizontal axis should be labelled 0 to 8. Vertical axis 0 to 100.

Answer 69

You can actually graph each point in the order given, or you can graph the points after re-ordering them in ascending order by x (days).

Answer 70

Got it

Answer 71

Have you drawn a line thru your points?

Answer 72

Working on it

Answer 73

Your graph doesn't have to be pretty. We jut want to know what happens to the quantity of cereal boxes on hand as the number of days increases.

Answer 74

Did it/

Answer 75

It's a linear decrease.

Answer 76

All the points are colinear, as well.

Answer 77

You're doing extremely well in your choice of vocabulary. :)

Answer 78

:>

Answer 79

So, SuperDude, is the slope of your line positive, zero or negative?

Answer 80

It is negative.

Answer 81

Since the points and line are going down.

Answer 82

Right. Does that knowledge help you to answer this question / choose the correct answer?

Answer 83

I think it would be... D?

Answer 84

Remember: slope is a name for "rise over run" which in this case would be "number of cereal boxes" over "day".

Answer 85

Is that what you find in answer D?

Answer 86

Hmm...

Answer 87

It's B, then.

Answer 88

R-r-right?

Answer 89

Hint: Is the number of boxes of cereal on hand increasing or decreasing?

Answer 90

Decreasing.

Answer 91

But this is tricky wording ;o

Answer 92

R-r-right.

Answer 93

lol

Answer 94

R-r-right. Don't you just love playing with English?