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Unit-27: Measures of Central Tendency: Mean, Median, Mode

is 13 and 15 respectively. therefore, in the above table 13 is written in front of column two. Column note
20 is the biggest number that is the sum of 9 and 11 and the values related to these are 11 and 13
which is written in front of column 3 in the table. the biggest number in column four in the table is
28 which is the sum of 9, 11 and 8 and the values related to this are 11, 13 and 15 which is written in
front of column 4. In the same way column 5 and 6 are also filled and then the sum of frequencies is
written at the last in the table. Form this sum we find out that the frequency of 13 has appeared the
most that is 6 times. therefore 13 is the mode.

Another Technique for Calculating Mode—

Example 14 Calculate the mode of given series-
shape: 10 12 18 30 32 35 27 33 36 45 50
frequency: 4 7 3 2 5 9 8 3 5 2 6

the above question can be solved with the help of the given table—
frequency pair of two Pair of Three analysis
size (f) (two times) (Three Times)
(1) (2) (3) (4) (5) (6) (7)
10 4
11
12 7 10 14
18 3 12
5 10 i = 1
30 2 iii = 3
32 5 7 iiii = 6
14 16 iiii = 4
35 9 22 20
27 8 17 ii = 2
11
33 3 16 i = 1
7 10 13
37 5 8
45 2
8
50 6
from the above table we find out the frequency of 9 appears 6 times, that is the highest, therefore the
value of frequency 9 is the mode.
\ Mo = 35
The methodology of solving through above method-
1. firstly we will have to add two frequencies and write their sum in column 2. for example,
4+7=11, 3+2= 5, etc. if in the end there is no pair of two then we will leave that element as
7 has been left out.

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