Math Problem Statement

How to put these datas 21.2 28.3 27.1 25 32.7 29.5 30.2 23.9 23 26.4 27.3 33.7 29.4 21.9 29.3 17.3 29 36.8 29.2 23.5 20.6 29.5 21.8 37.5 33.5 29.6 26.8 28.7 34.8 18.6 25.4 34.1 27.5 29.6 22.2 22.7 31.3 33.2 37 28.3 36.9 24.6 28.9 24.6 28.1 25.4 34.5 23.6 38.4 25 In 7 classes

Solution

To organize this data into 7 classes, we can follow these steps:

  1. Identify the Range: The range is calculated as the difference between the maximum and minimum values in the dataset. Range=MaxMin=38.417.3=21.1\text{Range} = \text{Max} - \text{Min} = 38.4 - 17.3 = 21.1

  2. Calculate Class Width: Divide the range by the number of classes (7) and round up to ensure all values fit into a class. Class Width=RangeNumber of Classes=21.173.01\text{Class Width} = \frac{\text{Range}}{\text{Number of Classes}} = \frac{21.1}{7} \approx 3.01 So, rounding up, the class width will be 4.

  3. Determine Class Boundaries: Begin with the minimum value (17.3) and add the class width to set the intervals. The classes will be:

    • 17.3 - 21.3
    • 21.3 - 25.3
    • 25.3 - 29.3
    • 29.3 - 33.3
    • 33.3 - 37.3
    • 37.3 - 41.3
    • 41.3 - 45.3
  4. Tally the Data: Place each data point into the appropriate class.

Here is the data distribution across the classes based on the intervals:

Class IntervalFrequency
17.3 - 21.35
21.3 - 25.39
25.3 - 29.314
29.3 - 33.310
33.3 - 37.37
37.3 - 41.32
41.3 - 45.30

Would you like a histogram, further details on this data grouping, or any other analysis?

Related Questions

  1. How do you determine the best number of classes for a dataset?
  2. Why is it necessary to round up when determining class width?
  3. What are alternative methods for setting class boundaries?
  4. How does changing the class width affect the distribution?
  5. How would you interpret this data based on the class intervals?

Tip: Always round up the class width to ensure all data points are included in the intervals.

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Grouping
Class Intervals

Formulas

Range = Max - Min
Class Width = Range / Number of Classes

Theorems

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Suitable Grade Level

Grades 9-12