Question

Following are the margins of victory in the football matches of a league

1 , 3 , 2 , 5 , 1 , 4 , 6 , 2 , 5 , 2 , 2 , 2 , 4 , 1 , 2 , 3 , 1 , 1 , 2 , 3 , 2 , 6 , 4 , 3 , 2 , 1 , 1 , 4 , 2 , 1 , 5 , 3 , 3 , 2 , 3 , 2 , 4 , 2 , 1 , 2

Find the mode of this data​

Answer 1

Answer:

2 is the mode for this data.

Step-by-step explanation:

The numbers in ascending order = 1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,5,5,5,6,6

The mode of a data set is the number that occurs most frequently in the set.

Number of times each number has occured :

1 = 9 times

2 = 14 times

3 = 7 times

4 = 5 times

5 = 3 times

6 = 2 times

2 has appeared the most times

So 2 is the mode of this data

Answer 2

Given:-

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Following are the margins of victory in the football matches of a league :

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• 1 , 3 , 2 , 5 , 1 , 4 , 6 , 2 , 5 , 2 , 2 , 2 , 4 , 1 , 2 , 3 , 1 , 1 , 2 , 3 , 2 , 6 , 4 , 3 , 2 , 1 , 1 , 4 , 2 , 1 , 5 , 3 , 3 , 2 , 3 , 2 , 4 , 2 , 1 , 2

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To Find:-

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• The mode of this data

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STEP BY STEP EXPLANATION:-

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Let us put data in a tabular form :

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$\begin{gathered}\boxed{\begin{array}{cccc}\sf Margins\: of \: Victory&\sf Tally \: Bars&\sf Number \: of \: Matches\\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\\\sf 1&\sf \cancel{llll} \: llll&\sf 9 \\\\\sf 2 &\sf \cancel{llll} \: \cancel{llll} \: llll&\sf 14 \\\\\sf 3&\sf \cancel{llll} \: ll&\sf 7 \\\\\sf 4&\sf \cancel{llll}&\sf 5\\\\\sf 5&\sf lll &\sf 3\\\\\sf 6 &\sf ll &\sf 2 \\\\\sf &\sf Total &\sf 40\\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{\bf{}}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\end{array}}\end{gathered}$

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Looking at the table , We can quickly say that 2 is the ' Mode ' Since 2 has occurred the highest Number of times

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∴ Thus , Most of the matches have been won with Victory margin of 2 goals.