3
Question
Determine the mode of the following data set.
9
4
8
7
5
6
9
3
5
8
Determine the mode of the following data set.
| 9 | 4 | 8 | 7 | 5 |
| 6 | 9 | 3 | 5 | 8 |
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Solution
The correct option is A 5, 8 and 9.
We arrange the given data set in ascending order.
3
4
5
5
6
7
8
8
9
9
The frequency table of the given data set is as follows:
Frequency Table
Number
Frequency
3
1
4
1
5
2
6
1
7
1
8
2
9
2
Here we observe that the numbers 5, 8 and 9 get repeated 2 times. 2 is the maximum number of repetitions.
Hence, the given data set is trimodal data.
We arrange the given data set in ascending order.
| 3 | 4 | 5 | 5 | 6 |
| 7 | 8 | 8 | 9 | 9 |
The frequency table of the given data set is as follows:
Frequency Table
| Number | Frequency |
| 3 | 1 |
| 4 | 1 |
| 5 | 2 |
| 6 | 1 |
| 7 | 1 |
| 8 | 2 |
| 9 | 2 |
Here we observe that the numbers 5, 8 and 9 get repeated 2 times. 2 is the maximum number of repetitions.
Hence, the given data set is trimodal data.
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