Math Problem Statement

Consider the following data representing the price of laptop computers (in dollars).

1204,1206,1345,1306,1207,1078,1357,1232,1228,1302,1189,1177,1083,1094,1326,1071,1427,1348,1420,1253,1270

Price of Laptop Computers (in Dollars) Class Frequency Class Boundaries Midpoint Relative Frequency Cumulative Frequency 1050–1119 1120–1189 1190–1259 1260–1329 1330–1399 1400–1469 Step 4 of 7 : Determine the upper class boundary for the fourth class.

Solution

To determine the upper class boundary for the fourth class, we first need to understand the class intervals and their boundaries.

Given Classes:

  • 1050–1119
  • 1120–1189
  • 1190–1259
  • 1260–1329 (fourth class)
  • 1330–1399
  • 1400–1469

Understanding Class Boundaries:

Class boundaries adjust the class limits to avoid gaps between them. To find the upper class boundary, you typically add 0.5 to the upper limit of the class.

For the fourth class (1260–1329):

  • The upper limit is 1329.
  • The upper class boundary is calculated by adding 0.5:

1329+0.5=1329.51329 + 0.5 = 1329.5

Thus, the upper class boundary for the fourth class is 1329.5.


Would you like details on any part of this calculation?

Here are 5 related questions to explore:

  1. How do we calculate the midpoint for the fourth class?
  2. How is relative frequency determined for each class?
  3. What is cumulative frequency, and how is it calculated?
  4. How do class boundaries help in data interpretation?
  5. How do we plot a histogram using this data?

Tip: Always ensure that your class intervals are mutually exclusive and exhaustive for accurate data analysis.

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Math Problem Analysis

Mathematical Concepts

Statistics
Class Boundaries
Frequency Distribution

Formulas

Upper Class Boundary = Upper Limit + 0.5

Theorems

Class Boundary Theorem

Suitable Grade Level

Grades 9-11