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The class size of a distribution is 25 and the first class interval is 200-224. Then, the class marks of first two class intervals are
- a)237, 287
- b)212, 237
- c)237, 262
- d)212, 262
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The class size of a distribution is 25 and the first class interval is...
Given, Class size = 25
First class interval = 200-224
(i) Seven class intervals are: 200-240, 225-249, 250-274, 275-299, 300-324, 325-349, 350-374
First class interval = 200-224
(i) Seven class intervals are: 200-240, 225-249, 250-274, 275-299, 300-324, 325-349, 350-374
Most Upvoted Answer
The class size of a distribution is 25 and the first class interval is...
Class Size and Class Intervals
- The class size refers to the number of observations or data points in each class interval of a frequency distribution.
- In this case, the class size is given as 25, which means that there are 25 data points in each class interval.
First Class Interval
- The first class interval given is 200-224.
- This means that the first class includes all the data points that fall within the range of 200 to 224 (inclusive).
Class Marks
- The class marks are the midpoints of each class interval.
- They can be calculated by finding the average of the lower and upper limits of each interval.
Calculating the Class Marks for the First Class Interval
- The lower limit of the first class interval is 200, and the upper limit is 224.
- To find the class mark, we take the average of these two values.
- Class mark = (lower limit + upper limit) / 2
- Class mark = (200 + 224) / 2
- Class mark = 424 / 2
- Class mark = 212
Calculating the Class Marks for the Second Class Interval
- Since the class size is 25, the second class interval will start at 225 (next value after 224) and end at 249 (225 + 24).
- To find the class mark, we take the average of these two values.
- Class mark = (225 + 249) / 2
- Class mark = 474 / 2
- Class mark = 237
Answer
- The class marks of the first two class intervals are 212 and 237.
- Therefore, option B is the correct answer.
- The class size refers to the number of observations or data points in each class interval of a frequency distribution.
- In this case, the class size is given as 25, which means that there are 25 data points in each class interval.
First Class Interval
- The first class interval given is 200-224.
- This means that the first class includes all the data points that fall within the range of 200 to 224 (inclusive).
Class Marks
- The class marks are the midpoints of each class interval.
- They can be calculated by finding the average of the lower and upper limits of each interval.
Calculating the Class Marks for the First Class Interval
- The lower limit of the first class interval is 200, and the upper limit is 224.
- To find the class mark, we take the average of these two values.
- Class mark = (lower limit + upper limit) / 2
- Class mark = (200 + 224) / 2
- Class mark = 424 / 2
- Class mark = 212
Calculating the Class Marks for the Second Class Interval
- Since the class size is 25, the second class interval will start at 225 (next value after 224) and end at 249 (225 + 24).
- To find the class mark, we take the average of these two values.
- Class mark = (225 + 249) / 2
- Class mark = 474 / 2
- Class mark = 237
Answer
- The class marks of the first two class intervals are 212 and 237.
- Therefore, option B is the correct answer.
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The class size of a distribution is 25 and the first class interval is 200-224. Then, the class marks of first two class intervals area)237, 287b)212, 237c)237, 262d)212, 262Correct answer is option 'B'. Can you explain this answer?
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