Outliers - Box and Whisker Plot (1.5 IQR)

Learn how to find which data points are outliers using a box and whisker plot. We discuss the method of working with 1.5 times the interquartile range to find out which data points are outliers. We also discuss how to construct a box and whisker plot by finding the median, lower quartile, upper quartile, maximum and minimum.
Jump to Section of this Video:
0:06 What is an outlier?
0:28 How to create a box and whisker plot
0:36 How to find the median
0:54 How to find the median when there is an even number
1:17 How to find the Upper Quartile and Lower Quartile
1:57 How to graph box and whisker plot on number line
2:33 How to graph the whiskers using the minimum and maximum
2:44 How to find the IQR (interquartile range)
3:08 Use 1.5 IQR to find outliers
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[@MariosMathTutoring]

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[@humparepatta]

Hey. Thanks a lot for the video. It is very helpful. I nevertheless have a question. As I understood: the outlier is regarded as an error and therefore not shown as the lowest value. However, its influence on Q1, Q2 and Q3 are still present, right? If we really threw it out, we would calculate a whole different box and whiskers plot. Shouldn't we be using such a new one?

[@marvelmuziq]

youve saved my biostatistics exam

[@khaledmekkari2045]

Hi, great video, why do we multiple by 1.5 ? and not any other number.

[@diax7831]

it's a law

[@slim6476]

@@diax7831 but why

[@ookeybookey7955]

@@slim6476 MATH

[@slim6476]

@@ookeybookey7955 yes but why

[@ibeeyt-brawlstar4965]

@@slim6476is just a law, there is no why. I’ve been studying Statistics GCSE for a while, still don’t know why multiply by 1.5

[@athenaa.bosendorfer]

So if 60 is an outlier, do we take it out of the plot and just put a point there? And change the lowest value to 82?

[@shilpanavare7439]

Nice explanation. Why do we multiply by 1.5

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[@MariosMathTutoring]

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[@ivyyu6432]

Thankyou sir.

[@MariosMathTutoring]

Most welcome

[@ayahelhoussieny474]

question: why do you multiply 1.5 by the IQR?

[@aaronjuarez-cruz]

Idk a guy just mad that up I forgot his name though

[@aaronjuarez-cruz]

Correction we do that to see if we have any outliers

[@ruhikaragul3620]

birlliant thx much

[@zapatobama8301]

thanks , but how do we deal with duplicated data? in this scenario for instance. Consider the following set of data;
0.87, 0.88, 0.91, 0.92, 0.86, 0.91, 0.90, 0.93, 0.82, 0.89, 0.87
Construct and interpret a box-and-whisker plot for this data

[@sbbperson]

where does 1.5 come from?

[@s_w_i_s_s_c_h_e_e_s_e]

Could you please post the formula down here?

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MR JHONNY

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[@ob2065]

مشان الله لاقولنا ال mean !