CA Foundation Exam > CA Foundation Questions > If calss interval is 10-14, 15-19, 20-24, the...
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If calss interval is 10-14, 15-19, 20-24, then the first class is
- a)10 - 15
- b)9.5 - 14.5
- c)10.5 - 15.5
- d)9 - 15
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If calss interval is 10-14, 15-19, 20-24, then the first class isa)10 ...
The correct answer is option 'B', which is 9.5 - 14.5. Let us understand why.
Class interval is a range of values that are used to group data into smaller parts. It is commonly used in statistics and helps in the process of data analysis. In this question, we have three class intervals - 10-14, 15-19, and 20-24.
To find the first class interval, we need to determine the lower and upper limits of the first interval. We can do this by subtracting 0.5 from the lower limit and adding 0.5 to the upper limit. This is because class intervals are usually written in terms of midpoints, and the midpoints are calculated by taking the average of the lower and upper limits.
Let us apply this formula to the first class interval, which is 10-14.
Lower limit = 10 - 0.5 = 9.5
Upper limit = 14 + 0.5 = 14.5
Therefore, the first class interval is 9.5 - 14.5.
To summarize, when given a set of class intervals, we can find the limits of each interval by subtracting 0.5 from the lower limit and adding 0.5 to the upper limit. This helps in determining the midpoint of each interval, which is a crucial component in data analysis.
Class interval is a range of values that are used to group data into smaller parts. It is commonly used in statistics and helps in the process of data analysis. In this question, we have three class intervals - 10-14, 15-19, and 20-24.
To find the first class interval, we need to determine the lower and upper limits of the first interval. We can do this by subtracting 0.5 from the lower limit and adding 0.5 to the upper limit. This is because class intervals are usually written in terms of midpoints, and the midpoints are calculated by taking the average of the lower and upper limits.
Let us apply this formula to the first class interval, which is 10-14.
Lower limit = 10 - 0.5 = 9.5
Upper limit = 14 + 0.5 = 14.5
Therefore, the first class interval is 9.5 - 14.5.
To summarize, when given a set of class intervals, we can find the limits of each interval by subtracting 0.5 from the lower limit and adding 0.5 to the upper limit. This helps in determining the midpoint of each interval, which is a crucial component in data analysis.
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Community Answer
If calss interval is 10-14, 15-19, 20-24, then the first class isa)10 ...
LCB = LCL -1/2 D
= 10 - 1/2 × 1
= 9.5
UCB=UCL+ 1/2 D
= 14 + 1/2 × 1
= 14.5
LCL - lower class limit- 10
UCL- upper class limit -14
UCB - upper class boundry -9.5
LCB - lower class boundry 14.5
D - diagonal difference between upper class limit and lower class limit
- 14-15 = 1
or
19-20
= 10 - 1/2 × 1
= 9.5
UCB=UCL+ 1/2 D
= 14 + 1/2 × 1
= 14.5
LCL - lower class limit- 10
UCL- upper class limit -14
UCB - upper class boundry -9.5
LCB - lower class boundry 14.5
D - diagonal difference between upper class limit and lower class limit
- 14-15 = 1
or
19-20
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If calss interval is 10-14, 15-19, 20-24, then the first class isa)10 - 15b)9.5 - 14.5c)10.5 - 15.5d)9 - 15Correct answer is option 'B'. Can you explain this answer?
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