Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### 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.
 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: 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.
65
32
30

Q 2: The demand of different shirt sizes as obtained by a survey, is given below:
 Size 38 39 40 41 42 43 44 Total Number of persons 26 39 20 15 13 7 5 125

43
44
39
40

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.
7
8
0
9

Q 4: Find the mode of the following data:
7, 9, 12, 13, 7, 12, 15, 7, 12, 7, 25, 18, 7
7
15
13
12

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!