What is the mode of distribution for the given list?
Marks 4 5 6 7 8 No. of students 6 7 10 8 3
A. 5
B. 6
C. 8
D. 10
| Marks | 4 | 5 | 6 | 7 | 8 |
| No. of students | 6 | 7 | 10 | 8 | 3 |
Answer
269.7k+ views
Hint: First we will find the number of students who get the same marks from the list. The maximum frequency of the marks is the mode.
Formula Used:
The value that repeatedly appears in a given set is called the mode.
The quantity of occurrences of an event in an experiment is its frequency (or absolute frequency).
Complete step by step solution:
Find the frequency of each mark.
The frequency of mark 4 is 6.
The frequency of mark 5 is 7.
The frequency of mark 6 is 10.
The frequency of mark 7 is 8.
The frequency of mark 8 is 3.
The maximum frequency is marked as 6.
Thus, the mode of distribution for the given list is 6.
Hence the correct option is B.
Additional Information:
Frequency: The number of times that observations are occurred is known the frequency.
If a set has 2 modes then the set is known as bimodal. If a set has 3 modes then the set is known as trimodal.
If a set has more than one mode, then the set is known as multimodal.
Note: Sometimes the mode of the object is equal to the mean but it doesn't always happen. The object that appears maximum times is known as a mode.
Formula Used:
The value that repeatedly appears in a given set is called the mode.
The quantity of occurrences of an event in an experiment is its frequency (or absolute frequency).
Complete step by step solution:
Find the frequency of each mark.
The frequency of mark 4 is 6.
The frequency of mark 5 is 7.
The frequency of mark 6 is 10.
The frequency of mark 7 is 8.
The frequency of mark 8 is 3.
The maximum frequency is marked as 6.
Thus, the mode of distribution for the given list is 6.
Hence the correct option is B.
Additional Information:
Frequency: The number of times that observations are occurred is known the frequency.
If a set has 2 modes then the set is known as bimodal. If a set has 3 modes then the set is known as trimodal.
If a set has more than one mode, then the set is known as multimodal.
Note: Sometimes the mode of the object is equal to the mean but it doesn't always happen. The object that appears maximum times is known as a mode.
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