Mathematics, Statistics & Data Science
High School (9–10)
Statistics and Probability › StatisticsChapter 16Statistics of Grouped Data
A newspaper says that the average family in a town spends so much on food each month.
- Nobody asked every family, and nobody listed every amount.
- The data were put into groups first.
- This chapter shows how to find the mean, the mode and the median from a table of groups, and how to draw and read a cumulative frequency curve.
- It covers the statistics chapter of the Indian syllabus (NCERT, the boards) and the matching topics of IGCSE, GCSE, Common Core and A-Level.
- Python checks each answer with exact fractions.
Part of Mathematics · High School (9–10) (chapter 16)
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The Mean of Grouped Data
A teacher cannot read forty journey times aloud, so she groups them. Use the class marks of the groups to find the mean three ways: the direct method, the assumed mean method and the step deviation method. See when each one saves work, and check all three with Python.
Mode and Median of Grouped Data
The mean can be pulled by one huge value, so shops, schools and councils often report the mode or the median. Find the modal class and the mode, build a cumulative frequency table and find the median, then compare the three averages and see when the rule of thumb that links them works.