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The consecutive class marks of a data having continuous class intervals having class width as 5, have a gap of ________ between them.
- a)2.5
- b)4.5
- c)5
- d)10
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The consecutive class marks of a data having continuous class interval...
The class mark is the mid point of a class. So the gap between two consecutive midpoints will be the same as the class width of the data. Hence, 5.
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The consecutive class marks of a data having continuous class interval...
Consecutive class marks refer to the midpoints of the class intervals in a data set. In this case, the class intervals have a continuous range with a class width of 5 units. To determine the gap between consecutive class marks, we need to understand how the midpoints are calculated.
The midpoint of a class interval is found by taking the average of the lower and upper limits of the interval. Since the class intervals have a width of 5 units, the lower limit of each interval is 5 units less than the upper limit. Therefore, the midpoint can be calculated as:
Midpoint = (Lower Limit + Upper Limit) / 2
To find the gap between consecutive class marks, we need to subtract the lower class mark of one interval from the upper class mark of the previous interval. Since the class width is 5 units, the difference between the upper class mark of one interval and the lower class mark of the next interval is also 5 units.
Hence, the correct answer is option 'C' - the gap between consecutive class marks is 5.
The midpoint of a class interval is found by taking the average of the lower and upper limits of the interval. Since the class intervals have a width of 5 units, the lower limit of each interval is 5 units less than the upper limit. Therefore, the midpoint can be calculated as:
Midpoint = (Lower Limit + Upper Limit) / 2
To find the gap between consecutive class marks, we need to subtract the lower class mark of one interval from the upper class mark of the previous interval. Since the class width is 5 units, the difference between the upper class mark of one interval and the lower class mark of the next interval is also 5 units.
Hence, the correct answer is option 'C' - the gap between consecutive class marks is 5.
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