Math Problem Statement

45 18 40 27 23 32 29 23 35 33 64 22 25 19 28 25 32 39 27 56 32 48 28 44 36 23 63 39 57 19 47 38 54 24 27 33 22 47 38 42 25 55 31 52 20 44 28 35 48 36 make a frequency table with seven classes

Solution

To create a frequency table with seven classes, we follow these steps:

  1. Find the Range:

    • Maximum value: 64
    • Minimum value: 18
    • Range = 6418=4664 - 18 = 46
  2. Determine the Class Width:

    • Class width = RangeNumber of classes=4676.57\frac{\text{Range}}{\text{Number of classes}} = \frac{46}{7} \approx 6.57
    • Round up to 7 (to ensure coverage of all data points).
  3. Create the Class Intervals:
    Start with the minimum value (18) and add the class width to determine the class intervals.

  4. Tally the Data:
    Go through each number and assign it to its appropriate class interval.

Frequency Table:

Class IntervalFrequency
18 - 2410
25 - 3110
32 - 3810
39 - 457
46 - 526
53 - 592
60 - 662

This table shows the distribution of your data into seven classes.

Would you like further details on how the frequencies were tallied, or any other clarification?

Related questions:

  1. How do you calculate cumulative frequency for these classes?
  2. How do you determine the median from this frequency table?
  3. How can we plot a histogram using this data?
  4. How can you calculate the relative frequency for each class?
  5. How do you find the mode from a frequency table?

Tip: Class width is usually rounded up to ensure all data fits into the intervals!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Statistics
Frequency Distribution
Class Intervals

Formulas

Range = Max value - Min value
Class width = Range / Number of classes

Theorems

Class Interval Method for Frequency Distribution

Suitable Grade Level

Grades 9-12