Frequency tables

Construct a frequency table from raw data or a tally chart (ungrouped, one row per discrete value, or grouped into class intervals), then read a completed table to find the mode, the total number of data points, and threshold-style counts that require summing frequencies across several rows (e.g. "how many scored 5 or more").

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • S4-1
New NZC (2026)
  • NZC26-P4-STA-VIS-K-Y9-01

Resources

Terminology

  • Frequency
  • Tally
  • Frequency table
  • Grouped frequency table
  • Class interval
  • Mode

Task goals

  • Construct a frequency table from raw data or a tally chart, using gate-mark (four-and-a-cross) tally groups of five.
  • Read a completed frequency table to find the mode (the value or class with the highest frequency) and the total number of data points (the sum of the frequency column).
  • Answer threshold-style questions (e.g. "5 or more", "under 20") by summing frequencies across several rows rather than reading a single cell.
  • Distinguish an ungrouped frequency table (one row per discrete value) from a grouped frequency table (data collected into class intervals), and explain why grouping is used when there are too many distinct values.
  • Avoid the common error of stating the mode as a frequency number rather than the value/category that has that frequency.

Where this fits

What leads into this objective, and where it goes next.

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Frequency tables

Frequency tables

Know

A distribution is formed from all the possible values of a variable and their frequencies. It can be shown using data visualisations that show patterns, trends, and variations and that include dot plots, bar graphs, frequency tables, box plots, histograms, time-series graphs, scatter plots, and two-way tables.

Statement▸
Year 9 · Statistics · Visualisation of data
NZC26-P4-STA-VIS-K-Y9-01

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