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 |
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
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
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.
Mode
