1
Question
Find the mode of the following data:
12, 14, 16, 12, 14, 14, 16, 14, 10, 14, 18, 14
12, 14, 16, 12, 14, 14, 16, 14, 10, 14, 18, 14
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Solution
Arranging the data in ascending order such that same values are put together, we get:
10,12,12,14,14,14,14,14,14, 16, 16, 18.
Here, clearly, 14 occurs the most number of times.
Therefore, 14 is the mode of the given data.
Alternate solution:
Arranging the data in the form of a frequency table, we get:
Values
Tally Bars
Frequency
10
∣
1
12
∣∣
2
14
IIIII6
16
∣∣
2
18
∣
1
Total
12
Clearly, 14 has maximum frequency. So, the mode of the given data is 14.
10,12,12,14,14,14,14,14,14, 16, 16, 18.
Here, clearly, 14 occurs the most number of times.
Therefore, 14 is the mode of the given data.
Alternate solution:
Arranging the data in the form of a frequency table, we get:
Clearly, 14 has maximum frequency. So, the mode of the given data is 14.
Here, clearly, 14 occurs the most number of times.
Therefore, 14 is the mode of the given data.
Alternate solution:
Arranging the data in the form of a frequency table, we get:
| Values | Tally Bars | Frequency |
| 10 | ∣ | 1 |
| 12 | ∣∣ | 2 |
| 14 | 6 | |
| 16 | ∣∣ | 2 |
| 18 | ∣ | 1 |
| Total | 12 |
Clearly, 14 has maximum frequency. So, the mode of the given data is 14.
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