Theory of Intelligence
10TH•Mathematics•Statistics•11.1–11.3 Cumulative Frequencies, Box Plots and Scatter Diagrams

Students' Learning Outcomes

Cumulative frequency tables and ogives, box-and-whisker plots, scatter diagrams and correlation; Examples 1–6; EXERCISE 11.1.

Students' Learning Outcomes

After completing this unit, the students will be able to:

  • Construct cumulative frequency table and cumulative frequency polygon or Ogive.
  • Interpret the median, quartiles, deciles, percentiles and inter quartile range from cumulative frequency curve.
  • Interpret and analyze box and whisker plots.
  • Construct and interpret data from scatter diagrams and also draw lines of best fit.
  • Measure correlation using scatter diagram.
  • Calculate the range, standard deviation and variance for grouped data.
  • Use the mean and standard deviation to compare two sets of data.
  • Solve real life situations involving variance and standard deviation for grouped data.
  • Apply concepts from measures of dispersion to solve real life situations (determining the consistency of data, checking variability in forecasting, manufacturing, finance and economics).

Discuss theoretical concepts, mathematical formulas, and architectural foundations.

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