# 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:

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

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.

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.

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

## 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.

## 7

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

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.