Mode Worksheet

Solutions

1Calculate mode for the following set of numbers: 5, 3, 6, 5, 4, 5, 2, 8, 6, 5, 4, 8, 3, 4, 5, 4, 8, 2, 5, 4.

2Find the mode for the following set of numbers:

3, 5, 2, 6, 5, 9, 5, 2, 8, 6.

3Find the mode for the series:

3, 5, 2, 7, 6, 4, 9.

4Given the statistical distribution of the table.

xi 61 64 67 70 73
fi 5 18 42 27 8

Calculate the mode.

5A statistical distribution is given by the following table:

  [10, 15) [15, 20) [20, 25) [25, 30) [30, 35)
fi 3 5 7 4 2

Calculate the mode.

6Given the statistical distribution:

  [0, 5) [5, 10) [10, 15) [15, 20) [20, 25) [25, ∞)
fi 3 5 7 8 2 6

Calculate the mode.

7 The following graph is a histogram representing the weight of 100 children:

Histogram

1. Create the respective table of distribution.

2. If John weighs 72 pounds, how many students are lighter than he is?


1

Calculate the mode for the following set of numbers: 5, 3, 6, 5, 4, 5, 2, 8, 6, 5, 4, 8, 3, 4, 5, 4, 8, 2, 5, 4.


xi fi
2 2
3 2
4 5
5 6
6 2
8 3
  20

Mode

Mo = 5


2

Find the mode for the following set of numbers:

3, 5, 2, 6, 5, 9, 5, 2, 8, 6.


2, 2, 3, 5, 5, 5, 6, 6, 8, 9.

Mode

Mo = 5


3

Find the mode for the series:

3, 5, 2, 7, 6, 4, 9.

Mode

The mode does not exist because all the scores have the same frequency.



4

Given the statistical distribution of the table.

xi 61 64 67 70 73
fi 5 18 42 27 8

Calculate the mode.

Mode

Mo = 67


5

A statistical distribution is given by the following table:

  [10, 15) [15, 20) [20, 25) [25, 30) [30, 35)
fi 3 5 7 4 2

Calculate the mode.


  xi fi
[10, 15) 12.5 3
[15, 20) 17.5 5
[20, 25) 22.5 7
[25, 30) 27.5 4
[30, 35) 32.5 2
    21

Mode

Statistical Mode


6

Given the statistical distribution:

  [0, 5) [5, 10) [10, 15) [15, 20) [20, 25) [25, ∞)
fi 3 5 7 8 2 6

Calculate the mode.

Mode

Statistical Mode


7

The following graph is a histogram representing the weight of 100 children:

Histogram

1. Create the respective table of distribution.

2. If John weighs 72 pounds, how many students are lighter than he is?

3. Calculate the mode.


1

  xi fi Fi
[60,63) 61.5 5 5
[63, 66) 64.5 18 23
[66, 69) 67.5 42 65
[69, 72) 70.5 27 92
[72, 75) 73.5 8 100
    100  

2

5 + 18 + 42 + 27 = 92 students lighter than John.

Mode

Statistical Mode Example