How to find the mode of the data :
Look at the following example,
Mr. David, the owner of a ready made dress shop says that the most popular size of shirts he sells is of size 40 cm.
Observe that here also, the owner is concerned about the number of shirts of different sizes sold. He is looking at the shirt size that is sold, the most. The highest occurring event is the sale of size 40 cm. This value is called the mode of the data.
Mode is the variable which occurs most frequently in the given data
Mode of Large data :
Putting the same observation together and counting them is not easy if the number of observation is large. In such cases we tabulate the data. A table which represents the data in the form of three columns, first column showing the variable (Number) and the second column showing the values of the variable (Tally mark) and the third column showing their frequencies is called a frequency table
Example 1 :
Following are the margin of victory in the foot ball matches of a league.
1, 3, 2, 5, 1, 4, 6, 2, 5, 2, 2, 2, 4, 1, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 6, 4, 3, 2, 1, 1, 4, 2, 1, 5, 3, 4, 2, 1, 2.
Find the mode of this data.
Now we quickly say that ‘2’ is the mode. Since 2 has occurred the more number of times, then the most of the matches have been won with a victory margin of 2 goals.
Example 2 :
Find the mode of the following data.
2, 2, 2, 3, 3, 4, 5,5, 5, 6,6, 8
2 and 5 occur 3 times.
Hence the mode of the data is 2 and 5.
Example 3 :
Find the mode of the following data
90, 40, 68, 94, 50, 60.
Here there are no frequently occurring values. Hence this data has no mode.
Example 4 :
The number of children in 20 families are
1, 2, 2, 1, 2, 1, 3, 1, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 2, 1
Find the mode.
12 families have 1 child only, so the mode of the data is 1.
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