How do you determine the class width for a histogram?…

Mathematics Questions

how to find class width for a histogram

Short Answer

To create a histogram, first determine the range by subtracting the starting value from the ending value. Then decide on the number of intervals, which influences the histogram’s granularity, and calculate the class width by dividing the range by the number of intervals.

Step-by-Step Solution

Step 1: Determine the Range

Start by identifying the starting value and the ending value of your data set. The range is calculated using a simple subtraction:

  • Range = Ending Value – Starting Value
  • For example, if your starting value is 32.5 and your ending value is 100.5, then:
  • Range = 100.5 – 32.5 = 68

Step 2: Decide Number of Intervals

Next, determine how many intervals (or classes) you want to divide your data into. The number of intervals affects the granularity of your histogram. For example:

  • You may choose 5 intervals for simplicity.

Step 3: Calculate the Class Width

Now, use the range and the number of intervals to find the class width. Divide the range by the number of intervals:

  • Class Width = Range / Number of Intervals
  • Continuing with our example: Class Width = 68 / 5 = 13.6
  • This means each bar or interval in the histogram will be 13.6 units wide.

Related Concepts

Range

The difference between the maximum and minimum values in a data set, calculated by subtracting the starting value from the ending value.

Intervals

The divisions or classes into which data is segmented for analysis, affecting the representation of data granularity in visualization tools like histograms.

Class Width

The size of each interval in a histogram, determined by dividing the range by the number of intervals chosen, representing how much data each bar in the histogram will cover.

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