Using the Empirical rule to determine the approximate percentage of data less than a given value

The Empirical Rule helps us to develop an intuition about the bell curve. In this video, we will find an area that is not between the typical plus and minus 1, 2, or 3 standard deviations from the mean. Many students find this type of problem a challenge. This video was taken from my website: www.statsprofe...

[@saltylightning372]

Dane thank you so much,I have hit my lowest point and was about to call my mother and tell her im dropping out,but then i looked at this video and it gave me the confidence to do my work thanks for the help and now I will keep going.

[@dmcguckian]

I’m glad you decided to stick with it! I hope the rest of your studies go smoothly.

[@nursingstudent1209]

شكرا لك من السعودية 🇸🇦❤️❤️ Your video helped me in biostatistics 🩷🩷🩷 thanks

[@dmcguckian]

You’re welcome!

[@aaqibzworld4515]

Wonderful Dance, I like the way you teach.

[@kaylathomas-e2q]

This is a huge help!! I've been stressed out the past two days trying to figure this out. Thank you so much for breaking this down :)

[@aniyahgrant5080]

My head was pondering from not having this explanation 😭. Thank you thank you!!!! I would say it a million times

[@brandon7301]

This was the best, most straightforward explanation.

[@dmcguckian]

Thank you! I'm happy it was useful to you.

[@angelinafernando5788]

thanks, midterm tmrw and this saved my life

[@dmcguckian]

Good luck with your exam!

[@ardent3270]

Thanks DANEEEE!!! Happy Sunday :-)))))

[@maddylopez5344]

This is the only vid that got me to understand thank you 🙏

[@dmcguckian]

Great!

[@afnanm9564]

same

[@aniyahgrant5080]

I do have a question regarding this one question that is related on my assignment. The question is: The lifespans of mediocre KZbin channels (over 1000 subscribers, less than 50,000) with active creators is 3.1 years with a standard deviation of 0.6 years. Use the empirical rule to estimate the probability of your new mediocre “unboxing” channel lasting between 2.5 and 4.3 years How would I go about this question? If you don’t mind me asking

[@dmcguckian]

This video of mine is on a nearly identical problem: www.statsprofessor.com/video.php?chapterId=13&id=35

[@under5minutesR]

When you calculated K to be -2.0 why didn't you use chebyshev rule but rather emperical rule because in cherbyshev 2 standard deviation is approximately 75%

[@dmcguckian]

Hi, if the problem says the data follows a bell-shaped distribution you can find a more precise answer using empirical rule. Chebyshev's only gives you a minimum amount inside the given interval (for example, "a minimum of 75% of the measurements are between ..."). This means we can only narrow the true answer down to a range that is fairly wide. It is better to have an answer that has more precision.

[@Xr-6djegiod68]

Thank you!

[@vamp1ng]

I have a question. What if my standard deviation is 1.2 and at the same time my mean is 6 days with 4 days lesser?

[@vamp1ng]

my K value is -1.67. When I apply 6-1.67, it gives me 4.8 which means I am still short of another 0.4 value to get 4

[@dmcguckian]

You haven't typed what your question is asking or enough details to help you, but based on what you have provided, it is unlikely to be an empirical rule problem. If the problem says the data is normally distributed, it could be a normal distribution problem that would use a z table to solve.

[@ydiaz62591]

you saved my life and saved me 2-4 hours of studying this LOL

[@freemovies437]

thank you I wish you should've been my prof

[@dmcguckian]

You’re welcome! I’m glad I could help

[@paulmuoki1059]

Can you plz show us how to calculate the 68 percent and 95 and 99.7

[@dmcguckian]

This playlist has each of them: kzbin.info/aero/PL51ZCXHa8bMl6Wm700NVRvfLvLP566eS0

[@sugar_tomato]

very helpful! subscribed

[@dmcguckian]

Thanks for the sub!

[@Dorkster81]

Where do u get the %. From

[@dmcguckian]

At the 4:00 mark, I explain the values given in the empirical rule; however, if you’re asking where the percentages are derived from, they are approximately calculated from the area under the normal distribution using Calculus and integration.

[@aniyahgrant5080]

Do you have a lesson on percentiles that sort of involves calculus?

[@dmcguckian]

No, these videos are intended for introductory courses that use tables or software whenever a student would normally need to use Calculus

[@alliceson6464]

Thank you!

[@dmcguckian]

You’re welcome