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Online Quiz (Worksheet A B C D)

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Middle/High School Algebra, Geometry, and Statistics (AGS)
9.24 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.
xi141516171819202122232425262728
fi400130001101001
Since the observation 14 has the maximum frequency,
Mode = 14

Q 1: Find the mode of the following data:
15, 14, 19, 20, 14, 15, 16, 14, 15, 18, 14, 19, 15, 17, 15.
13
14
15
16

Q 2: A cricket player scores the following runs in 13 one day matches:
65, 30, 7, 32, 60, 65, 65, 30, 28, 30, 15, 6, 30.
Find his modal score.
30
32
65

Q 3: 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.
0
9
8
7

Q 4: The demand of different shirt sizes as obtained by a survey, is given below:
Size38394041424344Total
Number of persons263920151375125

43
39
44
40

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