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Topic: Histograms and Data Distribution

Example:

Suppose we have a dataset of 100 students' test scores ranging from 60 to 100. We can create a histogram to visualize the distribution of these scores. The X-axis represents the score range, while the Y-axis represents the frequency or count of students in each score range. Each bar in the histogram represents a score range, and the height of the bar represents the frequency of students in that range.

Exercises:

  1. Create a histogram for the following dataset: 85, 92, 78, 90, 88, 85, 95, 80, 82, 88, 92.
  1. Interpret the histogram you created in exercise 1. What does it tell you about the distribution of the dataset?

Answers for the exercises above:

  1. The histogram for the dataset is as follows:
    1. Score Range
      Frequency
      78-80
      1
      81-83
      1
      84-86
      2
      87-89
      2
      90-92
      3
      93-95
      1
  1. The histogram shows that the majority of the scores fall within the range of 87-92, indicating a relatively high concentration of scores in that range. The distribution is slightly skewed to the right, with fewer scores on the lower end and a few scores on the higher end.

Other Resources:

 
A Level 9709: DifferentiationA Level 9709: Trigonometric Functions
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