Statistics Clinic

Every Statistics Clinic lesson in one place: frequency tables, averages, cumulative frequency, ogives, histograms, pie charts and conclusions, built on WAEC Chief Examiners’ reports.

Statistics carries some of the most reliable marks on the WASSCE Mathematics paper: a table, a graph and two or three readings, every year. It is also where WAEC’s Chief Examiners report the same losses year after year.

The Statistics Clinic fixes those losses one at a time, using what the examiners actually wrote. Every lesson has diagrams, worked answers, practice and a box on what the Chief Examiner reported and how to win those marks back. No magic: just the right habits, practised.

📋 What the WAEC Chief Examiner reported

  • 2025: “constructing cumulative frequency table from given data distribution” and “making deductions from real life problems” were listed weaknesses.
  • 2020: candidates drew the ogive but “could not interpret their graph by showing evidence of reading”.
  • 2020 (Elective): histograms drawn with midpoints instead of class boundaries; 2019: “inability to differentiate between frequency and cumulative frequency”.

How to win these marks back

  1. Build tables with every column, and check the totals.
  2. Use class boundaries for histograms and ogives.
  3. Draw and label every reading line.
  4. Finish every question with a conclusion in words.

Source: WAEC Chief Examiners’ Reports, WASSCE (SC) 2025, Ghana: Mathematics (Core); WAEC Chief Examiner’s Report, WASSCE 2020, Mathematics (Core) and (Elective); WAEC e-Learning, General Mathematics WASSCE 2019.

What you’ll be able to do by the end

  • Build frequency and cumulative frequency tables without errors
  • Find the mean, median, mode, range and standard deviation, for lists and grouped data
  • Use class limits, boundaries, widths and midpoints correctly
  • Draw histograms, frequency polygons, pie charts and ogives, and read them with evidence
  • Find quartiles, percentiles and pass marks from an ogive
  • Interpret tables and charts and write conclusions that earn the mark

Statistics in one page

Five stages of a statistics question: read, organise, show, measure, interpret
Read, organise, show, measure, interpret.

1. Tables and averages

Label every column, check Σf, and divide by Σf for the mean. Use midpoints for grouped data.

Grouped frequency table with midpoints and fx: mean = 1935 ÷ 50 = 38.7
Midpoints, fx and one division.

2. Cumulative frequency and the ogive

Running totals at upper class boundaries, starting at zero, joined by a smooth curve. Read with dashed lines.

Cumulative frequency table with tally, frequency, upper class boundary and cumulative frequency
The five columns of the examiners’ model answer.
Ogive with lower quartile, median and upper quartile reading lines
Quartiles and median with reading lines.

3. Histograms and pie charts

Histogram of masses drawn on class boundaries 39.5 to 64.5
Bars on class boundaries, touching.
Pie chart of refuse in a community
Angles that add to 360°.

4. Conclusions

Calculate, compare, conclude: 16 760 L is less than 25 000 L, so the tank is not enough
Calculate, compare, conclude.

The lessons

The first Statistics Clinic lessons go live on 4 December.

🎲 Probability questions (dice, “at least”, “or” and “and”, Venn diagrams) are in the Probability Clinic, with lessons from 16 January.

Practise as you go

Find your weakest skill with the statistics diagnostic test once it goes live, then practise in the Practice Zone. Graph skills are also covered in the Graphs Clinic.

The mistakes examiners see most

MistakeFix
cf column copies the frequenciesrunning total; last cf = Σf
Ogive plotted at midpoints or limitsupper class boundaries, start at zero
Median read with no linesdraw dashed reading lines
Mean ÷ number of classes÷ Σf
Histogram bars on class limitsclass boundaries, no gaps
Calculation but no conclusionfinish with a sentence

Questions learners often ask

Is statistics in every WASSCE Mathematics paper?

Yes. Statistics appears every year, usually in objective questions and at least one theory question.

Which lesson should I start with?

If statistics feels hard, start with Statistics for Beginners; otherwise start with the first lesson in the list and take the diagnostic test.

Where do these examiner comments come from?

From WAEC’s published Chief Examiners’ reports for WASSCE Core (and Elective) Mathematics, listed under sources below.

This clinic is part of How to Pass WASSCE and NOVDEC Core Maths.

Sources and further reading

These lessons are built on what WAEC examiners report year after year, matched to Ghana’s SHS curriculum.

Dickson Sarpong, SHS Mathematics teacher and founder of The Maths Clinic
Written by Dickson Sarpong

NTC-certified SHS Mathematics teacher in Ghana with WAEC marking experience, and author of The Bridge Series textbooks. Every lesson here is built around the mistakes WAEC examiners keep reporting.

About DicksonStuck? Ask a question
The Bridge Series: The Bridge to Mathematics and The Bridge to Additional Mathematics for SHS

Want the whole topic, step by step? My textbooks, The Bridge to Mathematics and The Bridge to Additional Mathematics for SHS, follow the new curriculum and rebuild the basics as you go.

Read a free chapter →