The measure of central tendency mode is the value that appears regularly in the data set. On a histogram or a bar chart, the highest bar in the chart is the mode. In the data set if the data has multiple values and has occurred multiple times, then the data has a mode if the data have no value repeats than it does not have a mode.
Typically, the mode is used with ordinal, category, and discrete data. Also, the mode is only the measure that uses category data for instance, the most liked flavoured icecream. But, the category data doesn’t have a central value because it is not possible to order the group. However, the ordinal and discrete data has a mode with value and which is not in the centre. In simple words, mode represents the most common value.
Meaning, Merits and Demerits of Mode
(A) MODE 

(B) FOLLOWING ARE SOME OF THE MERITS OF MODE:  
(1) EASY TO CALCULATE & SIMPLE TO UNDERSTAND 

(2)REPRESENTATIVE VALUE 

(3) NOT AFFECTED BY THE VALUE OF EXTREME ITEMS 

(4) NO NEED OF COMPLETE DATA 
We basically need the point of maximum concentration of frequencies, it is not necessary to know all the values. 
(5) USEFUL FOR BOTH QUANTITATIVE & QUALITATIVE DATA 

(6) GRAPHIC DETERMINATION 

(C) FOLLOWING ARE THE SOME OF THE DEMERITS OF MODE:  
(1) NOT BASED ON ALL THE OBSERVATIONS OF THE SERIES 

(2) SOMETIMES IT IS INDETERMINATE OR ILL DEFINED 

(3) NOT RIGIDLY DEFINED 

(4) AFFECTED BY THE FLUCTUATIONS OF SAMPLING 

(5) COMPLEX GROUPING PROCESS 

(6) NOT CAPABLE OF ALGEBRAIC TREATMENT 

Practice questions:
INDIVIDUAL SERIES
Q.1 FROM THE FOLLOWING DATA RELATING TO THE HEIGHT OF 10 STUDENTS, FIND THE VALUE OF MODE.  
Height (in Cm.)  160  155  148  155  160  162  160  174  160  180  
Q.2 FOLLOWING IS THE DATA OF MARKS OF THIRTY STUDENTS. YOU ARE REQUIRED TO FIND MODE:  
35  47  95  67  67  95  57  76  75  75  
80  67  76  75  50  86  75  80  99  75  
33  65  67  57  65  75  76  86  80  76 
DISCRETE SERIES
Q.1 A SURVEY WAS CONDUCTED ON 250 PEOPLE HAVING 25 PERSONS EACH OF DIFFERENT AGE LEVEL TO ASSESS THE CASES OF DEPRESSION THAT REQUIRE COMPULSORY COUNSELING. OUT OF THESE 70 PERSONS WERE FOUND TO BE THE VICTIM OF THIS DISEASE. IT WAS DECIDED TO COMPUTE MODEL AGE FROM THE FOLLOWING FOR THIS PROGRAMME:  
Age (in Years)  60  65  70  75  80  85  
No. of Cases of Depression  6  10  10  14  19  11  
Q.2 FROM THE FOLLOWING DATA COMPUTE AVERAGE POCKET MONEY RECEIVED BY THE STUDENTS. (USE MODE):  
Pocket Money (X)  20  30  50  60  70  80  100  
No. Of Students  8  14  17  15  10  5  20 
CONTINUOUS SERIES – INSPECTION METHOD
Q.1 FIND MODAL VALUE OF VARIABLE FROM THE FOLLOWING DATA:  
Variable  0 – 10  10 – 20  20 – 30  30 – 40  40 – 50  50 – 60  60 – 70 
Frequency  4  9  20  25  20  8  6 
CONTINUOUS SERIES – GROUPING METHOD
Q.2 COMPUTE MODE FROM THE FOLLOWING DATA:  
Marks (X)  0 – 10  10 – 20  20 – 30  30 – 40  40 – 50  50 – 60  60 70  
No. Of Students  16  7  12  15  13  8  5  
Q.3 COMPUTE MODE FROM THE FOLLOWING DATA:  
Mid Values  2.5  7.5  12.5  17.5  22.5  27.5  32.5  
Frequency  2  3  15  12  15  14  8  
Q.4 COMPUTE MODE FROM THE FOLLOWING DATA: (USE GROUPING METHOD)  
X  0 – 9  10 – 19  20 – 29  30 – 39  40 – 49  50 – 59  60 – 69  70 – 79  
f  2  7  12  17  14  15  9  4  
Q.5 COMPUTE MODE FROM THE FOLLOWING DATA: (USE GROUPING METHOD)  
X  Less Than 25  Less Than 40  Less Than 55  Less Than 70  Less Than 85  Less Than 100  
f  6  21  33  46  54  55  
Q.6 COMPUTE MODE FROM THE FOLLOWING DATA: (USE INSPECTION METHOD)  
X  More than 0  More than 10  More than 20  More than 30  More than 40  More than 50  More than 60  
f  100  90  75  55  27  11  5  
Q.7 COMPUTE MODE FROM THE FOLLOWING DATA: (USE INSPECTION METHOD)  
X  0 – 8  8 – 12  12 – 20  20 – 30  30 – 40  40 – 60  60 – 75  75 – 80  
f  2  7  6  4  8  30  10  3  
Q.8 COMPUTE MODE FROM THE FOLLOWING DATA: (USE INSPECTION METHOD)  
X  0 – 10  20 – 40  40 – 50  50 – 80  80 – 90  
f  10  16  12  27  10  
Q.9 COMPUTE MODE FROM THE FOLLOWING DATA: (USE INSPECTION METHOD)  
Variable  Below 40  40 – 50  50 – 60  60 – 70  70 – 80  80 – 90  90 & above  
Frequency  13  17  25  23  10  8  7 
FINDING MODE IN CASE OF BIMODAL, TRIMODAL & MULTIMODAL SERIES
Q.1 FROM THE FOLLOWING LOCATE THE VALUE OF MODE:  
Age (in Years)  15  16  16  15  17  18  16  17  17  15  18 
Q.2 IF ARITHMETIC MEAN OF A DISTRIBUTION IS 45 AND MEDIAN VALUE IS 47.5. WHAT WILL BE THE VALUE OF MODE? 
LOCATING MODE GRAPHICALLY
Q.1 FROM THE FOLLOWING LOCATE THE VALUE OF MODE:  
X  0 – 10  10 – 20  20 – 30  30 – 40  40 – 50  50 – 60  60 – 70 
f  20  30  50  80  30  15  5 
Q.1 __________ is that value which occurs most frequently in a distribution. 
a. Mean b. Median c. Mode d. None of the above 
Q.2 Which of the following is a merit of calculating mode? 
a. Easy to calculate b. Simple to understand c. No need of complete data d. All of the above 
Q.3 Which of the following is a demerit of calculating mode? 
a. Not based on all observation b. Not rigidly defined c. Complex grouping process d. All of the above 
Answer Key 
1a, 2d, 3d 
The above mentioned is the concept, that is elucidated in detail about the ‘measure of central tendency mode’ for the Class 11 Commerce students. To know more, stay tuned to CoolGyan’S.