Calculate mode of the following data:Marks 0 – 20 20 – 40 40 – 60 60 – 80 80 – 100No. of Students 5 10 12 6 3
Question
Calculate mode of the following data:
Marks | No. of Students |
---|---|
0 – 20 | 5 |
20 – 40 | 10 |
40 – 60 | 12 |
60 – 80 | 6 |
80 – 100 | 3 |
Solution
To calculate the mode of the given data, we need to find the class interval with the highest frequency. The mode is the value that appears most frequently in a data set.
Here are the steps:
-
Look at the frequencies of the class intervals. The class intervals are 0-20, 20-40, 40-60, 60-80, and 80-100. The corresponding frequencies are 5, 10, 12, 6, and 3 respectively.
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Identify the class interval with the highest frequency. In this case, the class interval 40-60 has the highest frequency of 12.
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Therefore, the mode of the data is the class interval 40-60.
Please note that in grouped data like this, the mode is a range of values (the modal class) rather than a specific value.
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