Psychometrics Dashboard - 3. Total Score Distribution

Total score distribution and table list

This chart presents the distribution of student total scores for the selected test. A bar graph visually displays the frequency of each score achieved, while an accompanying table lists one entry per student, showing the user ID and their corresponding score, ordered from lowest to highest score.

This visualisation provides an overview of the score distribution, revealing the minimum, maximum, and most common scores, thus highlighting the overall performance range and scoring patterns for this specific test. Furthermore, the distribution can indicate whether the test was potentially too easy or too difficult. A concentration of scores towards the higher end suggests an easier test, while a concentration towards the lower end suggests a more challenging one.

 

 

Metrics

  • Total score - The overall score achieved by a student on a test
  • Frequency - The number of students who achieved that score.

Box Plot of Total Score Distribution

Complementing the score frequency bar chart, a box plot provides a concise visual summary of the total score distribution. The central box represents the interquartile range (IQR), encompassing the middle 50% of scores, from the 25th percentile (Q1) to the 75th percentile (Q3). The line within the box marks the median score. Whiskers extend to the minimum and maximum scores, illustrating the typical spread of data while excluding potential outliers.

This box plot offers a compressed yet detailed view of score distributions, allowing for quick identification of central tendency, spread, and potential outliers, thus enhancing the understanding of the test's overall performance profile.

 

viz-3.png

 

Metrics

  • TOTALSCORE (Max): The highest score obtained.
  • TOTALSCORE (Q3): The 75th percentile, indicating that 75% of scores fall below this value.
  • TOTALSCORE (Median): The middle score of the distribution.
  • TOTALSCORE (Q1): The 25th percentile, indicating that 25% of scores fall below this value.
  • TOTALSCORE (Min): The lowest score obtained.

 

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