Relationship among Mean, Mode, Median; Graphic method of locating mode through Histogram

🚩Timestamps:-

00:04 Session Agenda

00:56 Relationship among Mean, Mode, Median

01:59 symmetrical distribution

03:01 asymmetrical distribution

04:35 positive skewness

05:36 negative skewness

07:34 MODE = 3Median – 2Mean

12:51 Graphic method of locating mode

14:43 Graphic Location of Mode from HISTOGRAM

19:34 Concluding Remarks

Learning Outcomes:-

Through this module, you will gain understanding on:-

1.    Calculation of MODE through Arithmetic mean and median ( Relationship among Mean, Mode, Median )

2.    Graphic method of locating mode

Calculation of MODE through Arithmetic mean and median

Relationship among Mean, Mode, Median :-

●     Beforehand, it is necessary to know whether the distribution is symmetrical or asymmetrical

In case of symmetrical distribution, mean mode median will be identical (Mean=Median=Mode)

Frequency curve will be bell-shaped

In case of asymmetrical distributional, value of mean mode median will be different

Frequency curve may be skewed (off-center in some way) either to the right or to the left

If the distribution is skewed more to the right (positive skewness), then Mean and median will be greater than Mode. Mean, Median > Mode Mode is minimum	If the distribution is skewed more to the left (negative skewness), then Mean and median will be less than Mode. Mean, Median < Mode Mode will be maximum

In moderately asymmetrical distribution, the relationship between mode median and mean of a series is shown as below :-

Graphic method of locating mode :-

Mode of a series may be located through graphic presentation of data.

 

1.    Present given information in the form of a histogram

Histogram: Features, types, construction | Frequency Diagrams (Diagrammatic Presentation of Data)

https://www.youtube.com/watch?v=0HpTgolRYOc

 

2.    Identify the highest rectangle. This corresponds to Modal Class

3.    Join the top corners of the modal rectangle with the immediate next corners of the adjacent rectangles. The joining lines must cut each other. Name that Point E.

4.    A Perpendicular is drawn from Point E on to the x-axis to locate the exact value of mode

VIDEO DESCRIPTION (max 5,000 characters)

Histogram: Features, types, construction | Frequency Diagrams (Diagrammatic Presentation of Data)

https://www.youtube.com/watch?v=0HpTgolRYOc

 

MODE through Arithmetic mean and median; Relationship among Mean, Mode, Median; Graphic method of locating mode through Histogram | mode class 11 economics, mode formula, mode class 11, mode kaise nikale, what is mode, mode mean median | Measures of Central Tendency: Median and Mode | 11th Commerce | by @statomics11comm

 

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Ch 10 - (MODE) Measures of Central Tendency: Median, Mode

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YOUR QUERIES ⁉️ -

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Relationship among Mean , Median and Mode in case of symmetrical and asymmetrical distribution

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