Math Problem Statement
Solution
The image presents a statistics problem about a frequency distribution of weights (in kg) for 40 people. Here's a breakdown of the table and the questions being asked:
Table:
Weights (in kg) | 30-35 | 35-40 | 40-45 | 45-50 | 50-55 |
---|---|---|---|---|---|
Frequency | 6 | 13 | 14 | 3 | 4 |
Questions:
- What is the lower limit of the fourth class interval?
- What is the class width of each class interval?
Solutions:
-
Lower limit of the fourth class interval:
- The fourth class interval is 45-50.
- The lower limit is the first value in this interval, so the answer is 45.
-
Class width of each class interval:
- The class width is calculated by subtracting the lower limit of a class from the lower limit of the next class.
- For example, for the intervals 35-40 and 30-35:
- Therefore, the class width for each class interval is 5 kg.
Would you like more details or clarifications on any part of the solution?
Relative Questions:
- What is the upper limit of the fourth class interval?
- How do you determine the midpoint of each class interval?
- What is the total number of people in the dataset?
- How would you calculate the cumulative frequency for these class intervals?
- How can you use the given table to calculate the mean weight of the 40 people?
Tip:
In frequency distribution tables, ensure you carefully distinguish between the class limits (the actual boundaries) and the class width (the difference between consecutive lower or upper limits).
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Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Distribution
Class Intervals
Formulas
Class Width = Lower limit of next class - Lower limit of current class
Theorems
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Suitable Grade Level
Grades 9-10
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