Mode in UnequalClassIntervals, Inclusive & MidValues series, LessThanCumulativeFrequencyDistribution

🚩Timestamps:-

00:27 previously…

00:59 Session Agenda

 

02:46 Types of Frequency Distribution/ Continuous series

05:29 mode when class intervals are unequal

11:19 mode in case of inclusive series

16:17 mode when only mid values of the class intervals are known

18:14 mode in “less than” cumulative frequency distribution

 

23:37 Concluding Remarks

Learning Outcomes:-

Through this module, you will gain understanding on:-

·         Calculation of mode :-

1.    when class intervals are unequal

2.    in case of inclusive series

3.    when only mid values of the class intervals are known

4.    in “less than” cumulative frequency distribution

Types of Frequency Distribution (Continuous series)

calculateMode in FrequencyDistribution(Continuous series),InspectionMethod,practical;CentralTendency

https://www.youtube.com/watch?v=7i1mGTitODE

 

Mode in Frequency Distribution (Continuous series): Grouping Method, Grouping & Analysis Tables

https://www.youtube.com/watch?v=m1kp631mNmM

Calculation of mode when class intervals are unequal -

·         Unequal class intervals are made equal 

 

Class Interval	0-4	4-8	8-12	12-14	14-16	16-20	20-24	24-26	26-32	32-34	34-40	40-44	44-48
Frequency	2	4	7	5	8	3	2	1	13	5	3	3	9

 

Solution:

This is a series with unequal class intervals

Calculation of Mode requires that the series be converted into series with equal class intervals of Size 8, as shown under:-

Class Intervals (X)	column 1 Frequency	2 1+2	3 2+3	4 1+2+3	5 2+3+4	Column 6 3+4+5
0-8	2+4=6
8-16	7+5+8=20
16-24	3+2=5
24-32	1+13=14
32-40	5+3=8
40-48	3+9=12

 

 

Calculation of mode in case of inclusive series -

Class Interval	10-19	20-29	30-39	40-49	50-59	60-69	70-79
Frequency	10	12	18	30	16	6	8

 

For the calculation of mode, inclusive series are first to be converted into exclusive series

 

Conversion of Inclusive Series into Exclusive Series

https://youtu.be/HIZTr79VD0E?t=678

 

Inclusive Class Intervals (X)	Exclusive CIs	Frequency
10-19	9.5-19.5	10
20-29	19.5-29.5	12
30-39	29.5-39.5	18
40-49	39.5-49.5	30
50-59	49.5-59.5	16
60-69	59.5-69.5	6
70-79	69.5-79.5	8

 

 

Calculation of mode when only mid values of the class intervals are known -

Mid Value	15	25	35	45	55	65	75	85
Frequency	5	8	12	16	28	15	3	2

 

It is first to be expanded as a series with Class Intervals

 

converting Mid-Values series INTO Simple Freq series

https://youtu.be/eC_pHKg_mWg?t=988

 

Mid Value	Class Interval (X)
15	10-20
25	20-30
35	30-40
45	40-50
55	50-60
65	60-70
75	70-80
85	80-90

 

 

Calculation of mode in “less than” cumulative frequency distribution -

(Wages Rs.) less than	200	300	400	500	600	700	800	900
Number of Workers (CFs)	5	18	38	70	90	95	98	100

 

It is first to be converted into a normal continuous frequency distribution (Simple Freq series)

 

converting Cumulative Freq (Less Than) series INTO Simple Freq series

https://www.youtube.com/watch?v=mowC48ci-MM

 

(Wages Rs.) less than UPPER Limit	Class Intervals (X)	Number of Workers (CFs)	simple Frequencies
200	100-200	5	5
300	200-300	18	18-5=13
400	300-400	38	38-18=20
500	400-500	70	70-38=32
600	500-600	90	90-70=20
700	600-700	95	95-90=5
800	700-800	98	98-95=3
900	800-900	100	100-98=2

 

VIDEO DESCRIPTION (max 5,000 characters)

calculateMode in FrequencyDistribution(Continuous series),InspectionMethod,practical;CentralTendency

https://www.youtube.com/watch?v=7i1mGTitODE

 

Mode in Frequency Distribution (Continuous series): Grouping Method, Grouping & Analysis Tables

https://www.youtube.com/watch?v=m1kp631mNmM

 

Conversion of Inclusive Series into Exclusive Series

https://youtu.be/HIZTr79VD0E?t=678

 

converting Mid-Values series INTO Simple Freq series

https://youtu.be/eC_pHKg_mWg?t=988

 

converting Cumulative Freq (Less Than) series INTO Simple Freq series

https://www.youtube.com/watch?v=mowC48ci-MM

 

mode when class intervals are unequal, mode in case of inclusive series, mode when only mid values of the class intervals are known, mode in “less than” cumulative frequency distribution | 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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FINDING MODE IN UNEQUAL CLASS INTERVALS

 

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