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### High School Mathematics14.24 Mode

Mode
The item which is repeated the maximum number of times in the data is called the mode or the modal value

Merits of Mode
1.) The logic behind its computation is easily understood.
2.) Even when some of the extreme values are missing, it can be easily computed.
3.) It can be calculated graphically.
Demerits of mode
1.) It is not directly based on all the values.
2.) It is not as stable as the arithmetic mean.

Note. Relation between Mean, Mode and Median
Mode = 3 Median - 2 Mean

Example
Find the mode of the following data
14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18

Solution
We make a frequency table for the data.
 xi 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 fi 4 0 0 1 3 0 0 0 1 1 0 1 0 0 1
Since the observation 14 has the maximum frequency,
Mode = 14

 Q 1: Find the mode of the following data: 7, 9, 12, 13, 7, 12, 15, 7, 12, 7, 25, 18, 7 7121513 Q 2: Find the value of k for which the mode of the following data is 7: 3, 5, 5, 7, 3, 6, 7, 9, 6, 7, 3, 5, 7, 3, k.0978 Q 3: Find the mode of the following data: 15, 14, 19, 20, 14, 15, 16, 14, 15, 18, 14, 14, 15, 17, 14.19141518 Q 4: Find the mode of the following data: 15, 14, 19, 20, 14, 15, 16, 14, 15, 18, 14, 19, 15, 17, 15.13151614 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!