Finding Area Under A Curve Using Z Scores

This video shows how to find the area under the standard normal curve using z scores.

[@andrewmolina3355]

Very helpful, you explained in 17 minutes what my professor has tried over the last 2 weeks

[@crowsmathclass]

Thank you. Glad it helped.

[@Eudaimonia1293]

I CANNOT THANK YOU ENOUGH FOR THIS VIDEO!!!! SERIOUSLY MY STATS PROFESSOR IS EXTREMELY DIFFICULT WITH EXPLANATIONS, AND YOU JUST MADE THIS 100X EASIER!!!! THANK YOU SOOOOO MUCH!!!! 🙏🙏

[@crowsmathclass]

You’re welcome. Glad it helped.

[@realmathinaminute]

I'm a math teacher. I really appreciate your videos! They are clear and so well done. You are a great teacher.

[@crowsmathclass]

Thank you.

[@sanzidasultana709]

I got so frustrated seeing my lectures class recordings cause they didn’t make any sense and then I found you! Thank you so much for this video. May God Bless people like you.

[@crowsmathclass]

You’re welcome. Glad it helped.

[@sugpolordplays2631]

WHY DO TEACHERS AND PROFESSORS MAKES THIS TOPIC SO COMPLICATED.

[@diamond_3448]

I know I’m late, but you have helped me understand in minutes compared to my professor's 40-minute audio, and I still didn’t understand. You show the problem and explain it in steps. Thank you so much.

[@crowsmathclass]

You’re welcome. Glad it helped.

[@patricks.g.koehler8480]

You're my hero Steve, I watched several hours of content from my teacher and couldn't figure out what I learned here in 10 minutes.

[@crowsmathclass]

Thank you for the comment. Glad it helped.

[@rabekawilson6232]

I NEEDED this video so bad! Thank you for making it, I understand the material better and I cannot thank you enough. Hope you have a good one!

[@crowsmathclass]

Thank you. Glad it helped.

[@prathibhasmily9151]

I hadn't understood anything in today's class but now I got the clarity. I seriously love the way you teach sir. Thank you so much😊

[@crowsmathclass]

You’re welcome. Thank you for the comment. Glad it helped.

[@_quickyerrfortnite_7835]

You are an amazing instructor. I should have came here first because you made it super easy. My son’s teacher talked for 90 minutes and it was so bad, I had to go to RUclips to help explain to my son!

[@crowsmathclass]

Thank you. Glad it helped.

[@schyler6097]

Thank you! I'm studying for a statistics final and this video really saved me!

[@crowsmathclass]

You’re welcome. Good luck on your final.

[@rykiesy1289]

I can't understand my modules then I found this. It is so helpful, thank you so much and god bless!

[@crowsmathclass]

You’re welcome. Glad it helped.

[@QuincySantillan]

Hello sir, We are currently on quarantine and need to do our worksheets on our own, this video really helped me a lot. Thank you so much sir. Hope you create more. ❤️♥️

[@crowsmathclass]

Thank you for the comment. Glad it helped.

[@zjwiya]

omg ate quincy😳😳

[@Plebus3]

thank you steve, missed my stat class last week. failed to be a good student for that day but your video helped me study the content i missed so im ready for the exam.

[@crowsmathclass]

You’re welcome. Glad it helped. Good luck on your exam.

[@yellzzy]

Watching from the Philippines. Thank you so much, now I can solve my assignment. And share this video to my Friends and classmates.

[@crowsmathclass]

Glad it helped. Thank you for sharing.

[@haripriyabhoi4492]

Nicely explain sir, I was tried last 15 days above, your vedio is helpful for me

[@crowsmathclass]

Thank you.

[@simranjeet8816]

Thank you so much. I have an assignment to do in 3 hours and your video helped a lot….

[@crowsmathclass]

You’re welcome. Glad it helped.

[@nyejalchancy7397]

This video was very helpful, I never thought I would be able to understand this concept. Thank you!!!

[@crowsmathclass]

You’re welcome. Glad it helped.

[@idiotic.4725]

Very helpful because our instructor is not teaching us through online class, so I don't under any of that numbers, thank you for teaching I understand it all now

[@crowsmathclass]

You’re welcome. Glad it helped.

[@sagargour2024]

Teaching math in a Country accent is a different flex😂😍❤️

[@nurjannahabdulwahab461]

Thanks Sir , you made my math✌️ 🇵🇭
I sweart it will helpful

[@crowsmathclass]

You’re welcome. Glad it helped.

[@yaduraj8559]

Thank u so much for explaining this topic in simplier way💯💯

[@crowsmathclass]

You’re welcome.

[@yunha21]

Thank you! You have saved my life!!

[@crowsmathclass]

You’re welcome.

[@saaarahism]

Another RUclips tutorial saviour!! Thank you!!

[@crowsmathclass]

You’re welcome.

[@gabrielaturcios5064]

i never comment but god bless you, seriously ive been trying to understand this all morning and 5 minutes in and i already got it. Hope youre having an amazing day ;-;

[@crowsmathclass]

Thank you for the comment. Glad it helped.

[@zehrag8265]

thank you so much for your help!! it worked a lot on me. by the way, ı loved you voice tone its lovely. thanks!!!

[@crowsmathclass]

Thank you. Glad it helped.

[@jvaliente9094]

Thank you steve, I need this review because I already forgot this lesson. I was on high school when I last encountered this.

[@crowsmathclass]

You’re welcome. Glad it helped.

[@roxanneloubalidio7509]

That was very helpful and well explained. Thanks, Steve!

[@crowsmathclass]

Thank you. Glad it helped.

[@KM-lf5be]

Thank you so much for your explanation. Very clear and easy to understand. Really helped me a lot.

[@crowsmathclass]

You’re welcome. Thank you for the comment.

[@Mckle]

the drawing of how you need to subtract -2.33 from 1.78 connected the wires that were unplugged. thank you so much

[@crowsmathclass]

You’re welcome. Glad it helped.

[@vyris2884]

Thank you, you explained way more in depth than my teacher 😭

[@crowsmathclass]

You’re welcome. Glad it helped.

[@mcdonalds1599]

THANK YOU SO MUCH I'M ANSWERING NOW THE LAST MINUTE AND YOU MADE IT VERY EASY.

[@crowsmathclass]

Thank you. Glad it helped.

[@makban_fun_classroom4975]

So clear. It was very helpful. Thank you sir

[@crowsmathclass]

You’re welcome. Glad it helped.

[@jehwotetsuro7462]

Thank you, sir. This video is very helpful

[@crowsmathclass]

You’re welcome. Glad it helped.

[@besavilla5007]

Keep up the good work sir, A very helpful video

[@crowsmathclass]

Thank you. Glad it helped.

[@eireenruhinda8888]

Very good i understood. God bless you

[@crowsmathclass]

Thank you. Glad it helped.

[@calongealvinjayl.6780]

Thank you for this professor 😊😊 it's 2021😂😂

[@crowsmathclass]

You’re welcome.

[@anjalidissanayaka2785]

I'm sinhala....but understand very well🔥❤

[@elginmonty]

I finally got it!! Thank you for the detailed explanation!!

[@crowsmathclass]

You’re welcome. Glad it helped.

[@23mikai]

thank you for this it really helped me for my online classes.

[@crowsmathclass]

You’re welcome. Good luck in your class.

[@dysphoricjoy]

I believe the probability cannot be equal, just less than or more than, since you're essentially taking the area of each subsection, and an exact probability (which is the equal part) would be just a line, and you cant get the area of a straight line, so it's denoted as less than or more than but never equal

[@saminaa6802]

Thank you soo much! Finally I understood this topic. Thank you for your work!

[@crowsmathclass]

You’re welcome. Glad it helped.

[@brittanynguyen8756]

This was very helpful. Thank you!

[@crowsmathclass]

You’re welcome.

[@randyobas9819]

Thankyou this video is very helpful.

[@crowsmathclass]

You’re welcome. Glad it helped.

[@goldenchildofra6432]

Thank you, this video was very helpful in grasping the concept.

[@crowsmathclass]

You’re welcome. Thank you for the comment.

[@calipeachybeach9223]

Bless you. That was wonderfully clear.

[@crowsmathclass]

You’re welcome. Glad it helped.

[@briannamarie2666]

wow thank you your videos really helped me

[@crowsmathclass]

You’re welcome. Glad it helped.

[@prakhar3134]

how can i go about finding the area under curve for a z value that is not present in the table. i tried calculating it using the cdf of std. normal function but encountered the erf() during the integral and i dont know how to calculate the value of erf(x). pls help

[@FieldyTv]

Awesome video, thank you so much for the help!

[@crowsmathclass]

Thank you.

[@mishrimpice4570]

THANK YOU SO MUCH! I UNDERSTOOD IT CRYSTAL CLEAR.😭💘 i'm havin a hard time in this specific modular class subject but this one helped me out!! THANKSSS, LIKE A MILLION THANKS!

[@crowsmathclass]

You’re welcome. Glad it helped. Good luck in your class.

[@greycarchives]

THANK YOU SO MUCH YOU'RE REALLY A LIFE SAVER!!

[@crowsmathclass]

You’re welcome.

[@celiabonghanoy2140]

Thank you sir. This really helps me a lot with my homework 👍🥰

[@crowsmathclass]

You’re welcome. Glad it helped.

[@maxpienvelasquez2392]

You're the best! Thank you so much😊

[@crowsmathclass]

Thank you and you’re welcome.

[@Hannieheyy1004]

I know this was years ago, but aren't you supposed to add the z-values of -2.33 and 1.78 to get the area between them? Since the values on the table are the area between 0 and the 1.78 and 0 and -2.33?

[@crowsmathclass]

If you are using that type of table. This table reads the areas to the left of the z vale. I have a video that shows examples using both tables. The link is below.
ruclips.net/video/BItUZISCkpo/видео.html

[@Hannieheyy1004]

@@crowsmathclass wow, thank you! I've been confused why there are different z-tables with different values. Thanks a lot!

[@nursafiyyahunos208]

Thank you so much, sir. This helped me really a lot

[@crowsmathclass]

You’re welcome. Glad it helped.

[@eunyyy.]

Thank you so much. This was very helpful

[@crowsmathclass]

You’re welcome.

[@michaelfitzpatrick3061]

Thanks helped heaps! Great explanation!

[@crowsmathclass]

Thank you. Glad the video helped.

[@Comsieph]

This really helped thank you so much

[@crowsmathclass]

You’re welcome. Glad it helped.

[@GurameMoiya]

Thank you, very helpful

[@crowsmathclass]

You’re welcome. Glad it helped.

[@ishaniabeysinghe9203]

it was really useful for me. thank you

[@crowsmathclass]

You’re welcome. Glad it helped.

[@rexsumalinog8781]

How about between two negatives like between z=2.06 and z=0.54?

[@crowsmathclass]

It’s the same. Look up the larger minus look up the smaller.

[@imfabio217]

can you tell me how to know whether to subtract the area from 1 or 0.5 or add

[@crowsmathclass]

It depends which z table you are using. Here is a video showing how to read the two different z tables.
ruclips.net/video/BItUZISCkpo/видео.html

[@imfabio217]

@@crowsmathclass thank u so much💕
I got it now😁

[@crowsmathclass]

You’re welcome.

[@glyzzajadeesogon9863]

Gosh...this saves me, thanksiee

[@crowsmathclass]

You’re welcome.

[@chrisleephileguana5886]

Thank you.... very helpful video....

[@crowsmathclass]

You’re welcome. Glad it helped.

[@tubeprincessamirahtv7993]

Do you have a video on Find the indicated area under the standard normal curve.
To the left of z equals - 2.45 and to the right of z equals 2.45

[@michaelkabera1258]

very helpful. i now get it.

[@crowsmathclass]

Glad it helped.

[@ivangilepo8549]

How to know if I will use greater and equal and lesser and equal.

[@crowsmathclass]

The problem tells you.

[@Hitori-chan1]

Why do you sir not add .5 after locating the area?

[@crowsmathclass]

That is when you are approximating a binomial distribution using the normal.

[@orionraizel]

I got lost when its comes to, , ≥ and ≤, when will i use them
Please help

[@happybaby7839]

How about a P(z=x) x being a number. How would you do that?

[@crowsmathclass]

You would have to convert x to a z value. If I understand your question.

[@Hoswevlogs]

What application you are using?

[@crowsmathclass]

One note.

[@silentone4542]

Thank you sir so much,I get it now😁❤️

[@crowsmathclass]

You’re welcome. Glad it helped.

[@theopogi21]

Hi sir, what is the name of the app you're using(notebook)

[@crowsmathclass]

One note.

[@theopogi21]

@@crowsmathclass good morning sir, where did you get those notes? i badly need it for my math class

[@kassandrahuyo-a-xp7yr]

Sir what if, if the given is bounded by z=2.25 and z=1.00?

[@crowsmathclass]

Look up 2.25 and then 1.00 and then subtract the two areas.

[@wtforsaken.]

How do I graph if it says "at most z"? Thanks in advance..

[@crowsmathclass]

Same a less than.

[@atavierreed2267]

Thank you so much 👍

[@crowsmathclass]

You’re welcome.

[@enzoc3869]

Do you always subtract from 1? Let’s say you have a chart with a different area shaded

[@crowsmathclass]

There are different charts. Search my channel for How Read Two Different z-tables.

[@crowsmathclass]

ruclips.net/video/BItUZISCkpo/видео.html

[@maritestv7664]

omg thankyouuuuu☺️🥺❤️❤️

[@crowsmathclass]

You’re welcome.

[@jonardbunao1572]

It did help!!! Thank you!!!

[@crowsmathclass]

You’re welcome. Glad it helped.

[@IMRANNAZIR-f6q]

Thank you man!!!!!!!!

[@crowsmathclass]

You’re welcome.

[@saleh3407]

thank you ,, very helpful

[@crowsmathclass]

You’re welcome. Glad it helped.

[@foodielife3622]

Very helpful

[@crowsmathclass]

Thank you.

[@ShiRo-lm9xh]

If TO THE LEFT it's less than? And TO RIGHT it's greater than? Even if it's nega or positive?

[@crowsmathclass]

Yes

[@ShiRo-lm9xh]

Thanks. How about outside z

[@crowsmathclass]

You can find the area inside z and then 1 minus that value. Remember the area under the entire curve equals 1.

[@junnielvistal3850]

Can we have a link about the table please? So we can download

[@crowsmathclass]

It is the table from my book. You can google z table and just print one. They r all pretty much the same.

[@estheq5394]

Sir how about
1. Above z= 0.57
2. Below z= -1.43
I dont get this? Can you help me sir?

[@crowsmathclass]

Above means to the right and below means to the left.

[@estheq5394]

@@crowsmathclass thankyou so much!!

[@crowsmathclass]

You’re welcome.

[@ShiRo-lm9xh]

If greater than u will use minus 1?

[@crowsmathclass]

1 minus the area you find.

[@ShiRo-lm9xh]

@@crowsmathclass but it's minus 1 if greater than (positive)?

[@edepcristinefeyeb.2258]

If the area to the right of +Z is 0.0329 how to solve this?

[@crowsmathclass]

1- whatever the table says.

[@insurgentgaming2676]

Sir what app is that?

[@crowsmathclass]

I am using one note.

[@onixq9202]

Thank you very much

[@crowsmathclass]

You’re welcome.

[@wu.i.86k]

what if the z scores i more than 3.4 like -4.4?

[@crowsmathclass]

The tables will usually tell you to use 1 if more than 3.5 and 0 if less than -3.5. To get an accurate value you would need to use excel. You can search my channel for Norma distribution using excel.

[@SimeonJrJusay]

Thank You Sir.

[@crowsmathclass]

You’re welcome.

[@SimeonJrJusay]

@@crowsmathclass❤️

[@KavenLeandro]

Why anybody makes an example of just using a one sign table to an excercise of numbers in between with different signs (ie z negative to find z=-0,77 to z=2,31)?

[@sadguy5209]

Help pls
What happens if its between 0 and -1.25
I dont know what to do with the 0

[@crowsmathclass]

You look up 0 in the table and then -1.25 and then subtract.

[@sadguy5209]

THANK YOUUU SOO MUUCH

[@melanie6104]

Thank you 💖

[@crowsmathclass]

You’re welcome.

[@redchard4906]

thank you very very much

[@crowsmathclass]

You’re welcome.

[@nelsontan5069]

thanks a lot sir

[@crowsmathclass]

You’re welcome.

[@giyutchiro336]

What if above z=1 ? Or below z= -1 ?

[@crowsmathclass]

It would be the same answer.

[@dianamanalap1990]

Thank you Sir!

[@crowsmathclass]

You’re welcome.

[@dennisestrera2865]

Thank you😍

[@crowsmathclass]

You’re welcome.

[@kellyl2794]

Great thank you!

[@crowsmathclass]

You’re welcome.