Math Problem Statement

construct a frequency table of class interval of 10 from the given data and find the mean.

23, 5, 17, 28, 39, 52, 16, 22, 69, 75 , 41, 33, 9, 49, 34, 59, 72, 46, 65, 58, 60, 48, 64, 32, 50, 73, 57, 51, 63, 36

Solution

Let's begin by constructing a frequency table with a class interval of 10. Then, we will calculate the mean of the data.

Step 1: Determine the class intervals

Given the data, the smallest value is 5, and the largest value is 75. With a class interval of 10, the class intervals will be:

  • 0 - 9
  • 10 - 19
  • 20 - 29
  • 30 - 39
  • 40 - 49
  • 50 - 59
  • 60 - 69
  • 70 - 79

Step 2: Create the frequency table

Class IntervalFrequency (f)
0 - 93
10 - 193
20 - 294
30 - 395
40 - 495
50 -

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Math Problem Analysis

Mathematical Concepts

Statistics
Frequency distribution
Mean

Formulas

Mean formula: \( \overline{x} = \frac{\sum_{i=1}^{n} x_i}{n} \)

Theorems

-

Suitable Grade Level

Grades 9-12

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