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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)
    237, 262
  • c)
    212, 262
  • d)
    212, 237
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The class size of a distribution is 25 and the first class interval is...
Explanation:
To determine the class marks of the first two class intervals, we need to understand what class marks are and how they are calculated.

Class Size:
The class size refers to the number of observations or data points in a given distribution. In this case, the class size is 25.

Class Interval:
A class interval represents a range of values in a data set. Each class interval is defined by its lower limit and upper limit. In this case, the first class interval is 200-224.

Class Mark:
The class mark is the average of the upper and lower limits of a class interval. It represents the central value of the interval. The class mark is calculated using the formula:
Class Mark = (Lower Limit + Upper Limit) / 2

Determining the Class Marks:
To find the class marks of the first two class intervals, we need to calculate the average of the upper and lower limits of each interval.

The first class interval is 200-224.
Lower Limit = 200
Upper Limit = 224
Class Mark = (200 + 224) / 2 = 424 / 2 = 212

Therefore, the class mark of the first class interval is 212.

To find the class mark of the second class interval, we need to determine the upper and lower limits of the interval.

Since the class size is 25 and the first class interval has a range of 25 (224 - 200 = 25), we can determine the upper limit of the second class interval as follows:
Upper Limit of Second Class Interval = Upper Limit of First Class Interval + Range of Class Interval
Upper Limit of Second Class Interval = 224 + 25 = 249

Therefore, the second class interval is 224-249.

Lower Limit = 224 (Upper Limit of First Class Interval)
Upper Limit = 249
Class Mark = (224 + 249) / 2 = 473 / 2 = 236.5 ≈ 237

Therefore, the class mark of the second class interval is 237.

Conclusion:
The class marks of the first two class intervals are 212 and 237, which corresponds to option 'D'.
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Community Answer
The class size of a distribution is 25 and the first class interval is...
D
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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)237, 262c)212, 262d)212, 237Correct answer is option 'D'. Can you explain this answer?
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