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Mathematics 15 Online
OpenStudy (cincin183):

does anyone on here know how to read the Z Score Table?

OpenStudy (jtvatsim):

it's been a while, but I can give it a shot, what was your exact question? : )

OpenStudy (cincin183):

life saver!!!

OpenStudy (jtvatsim):

lol, I'm assuming you were given a table like this one? http://www.regentsprep.org/regents/math/algtrig/ats7/zchart.htm

OpenStudy (cincin183):

okay, so there's a few questions that are contributed into one problem. however i know the first few steps, but I'm stuck whenever it comes to finding the exact percentage since i cant figure out how to read the table and I've looked for the answers online and they all have different answers to the same question.

OpenStudy (cincin183):

and yes, correct

OpenStudy (jtvatsim):

OK, yeah, I've got the picture... sometimes it's hard to interpret the table at first. : )

OpenStudy (cincin183):

so i also have a formula, which is

OpenStudy (jtvatsim):

ooh, a formula! the excitement is real!

OpenStudy (cincin183):

|dw:1460175388663:dw|

OpenStudy (jtvatsim):

Alrighty, I am familiar with that one.

OpenStudy (jtvatsim):

basically, the z-score is just the (data - mean) all divided by the standard deviation

OpenStudy (cincin183):

lol yeah! sorry that bottom one is crappy lol so the question is: What percentage of puppies will have the heart rates of less than 187 heart beats p/m

OpenStudy (cincin183):

the mean is: 180, the sd=6 and x=187 if im correct

OpenStudy (jtvatsim):

OK, so I'm guessing that the problem has told you the mean (or you figured that out before) and has told you the standard deviation (or you figured that out before), so yes, x = 187 would be the right choice.

OpenStudy (jtvatsim):

now, we've got to calculate the z-score

OpenStudy (cincin183):

if i did the math correct i got the answer to be 1.66666667 which is then reduced to 1.17

OpenStudy (cincin183):

since the teacher is asking for the nearest hundredths place

OpenStudy (jtvatsim):

yep, I agree

OpenStudy (jtvatsim):

So we know the z-score is z = 1.17

OpenStudy (cincin183):

yup so then do we look for 1.1 on the y-axis of the chart and then the .07 on the x-axis?

OpenStudy (jtvatsim):

Yes, that is exactly what you would do. : ) We will check the answer you get using our common sense to make sure it is the right one (since 187 is bigger than the mean, the percentage should be bigger than 0.5). : )

OpenStudy (cincin183):

okay so let me look at the chart

OpenStudy (cincin183):

okay so i got .8790= 87.90?

OpenStudy (jtvatsim):

Yep, me too!

OpenStudy (jtvatsim):

Here's a picture of how I read the chart

OpenStudy (jtvatsim):

I think of 1.17 as 1.17 = 1.1 + 0.07 and that helps it make sense to me.

OpenStudy (cincin183):

okay, so is that all we do? theres no other step we are missing? 87.90 would be the final answeer?

OpenStudy (jtvatsim):

So we would say that the percentage of puppies with heart beats less than 187 beats per minute is 87.90%

OpenStudy (cincin183):

okay, so its the same thing for a negative number as well correct?

OpenStudy (jtvatsim):

yes, there is only one thing that you have to keep in mind with these z-score questions...

OpenStudy (cincin183):

okay, what is that ?

OpenStudy (jtvatsim):

As long as the question says, "Find the percentage LESS THAN something" you just read the table as is.

OpenStudy (jtvatsim):

If the question says, "Find the percentage GREATER THAN something" you have to do: 1 - (the table value) to get the true percentage

OpenStudy (cincin183):

okay >.< what if it says "What percentage of puppies will have heart rates BETWEEN 170 and 187?

OpenStudy (jtvatsim):

Haha! I forgot about that one! Let me draw a picture to show you.

OpenStudy (cincin183):

lol okay!:)

OpenStudy (jtvatsim):

|dw:1460176261445:dw|

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