Math Problem Statement

classes: 11-18, 19-26, 27-34, 35-42, 43-50 | frequency: 9,15,20,11,6 what is the midpoint of 2nd class?

Solution

To find the midpoint of the second class 192619-26, you use the formula:

Midpoint=Lower limit+Upper limit2\text{Midpoint} = \frac{\text{Lower limit} + \text{Upper limit}}{2}

Substitute the values:

Midpoint=19+262=452=22.5\text{Midpoint} = \frac{19 + 26}{2} = \frac{45}{2} = 22.5

The midpoint of the second class is 22.5.

Would you like to explore this dataset further or analyze related statistical measures?

Here are 5 relative questions to consider:

  1. What is the total frequency of the dataset?
  2. How can the midpoints of all classes be calculated?
  3. What is the modal class of this frequency distribution?
  4. How do you compute the mean of this frequency distribution?
  5. Can the data be visualized as a histogram or frequency polygon?

Tip: The midpoint is essential in estimating the mean for grouped data and serves as the representative value for each class.

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Math Problem Analysis

Mathematical Concepts

Statistics
Grouped Data Analysis

Formulas

Midpoint = (Lower limit + Upper limit) / 2

Theorems

No specific named theorem, but foundational concepts in descriptive statistics

Suitable Grade Level

Grades 9-12