MKS CMAT · Quantitative Ability
Tables and Graphs for CMAT: Data Interpretation Practice
CMAT data interpretation is not only calculation. First identify what each row, column, unit and denominator means. A fast calculation based on the wrong column is still wrong.
The data and questions in this lesson are original MKS practice. The teaching table is editable text, while the accompanying photographs are decorative study scenes.
YOUR LEARNING ROUTE
Build the skill. Then apply it.
Read a table before calculating
Use this fictional record of four practice groups:
| Group | Enrolled students | Completed the set | Average score of completers |
|---|---|---|---|
| A | 40 | 32 | 74 |
| B | 50 | 35 | 68 |
| C | 45 | 36 | 72 |
| D | 60 | 48 | 75 |
Three checks prevent many errors:
- Read whether a percentage uses enrolled students or completers as its denominator.
- Distinguish a percentage-point difference from a relative percentage increase.
- For a combined average, multiply each average by its group size before adding.
Six questions from the table
Q1. Completion rate
What percentage of Group A completed the set?
- A. 64%
- B. 75%
- C. 80%
- D. 88%
Q2. Lowest completion rate
Which group has the lowest completion rate?
- A. Group A
- B. Group B
- C. Group C
- D. Group D
Q3. Total completers
How many students completed the set across all four groups?
- A. 141
- B. 146
- C. 151
- D. 156
Q4. Weighted average
What is the combined average score of completers in Groups C and D, rounded to one decimal place?
- A. 73.0
- B. 73.5
- C. 73.7
- D. 74.0
Q5. Percentage-point difference
How many percentage points higher is Group D’s completion rate than Group B’s?
- A. 8
- B. 10
- C. 12
- D. 14
Q6. Updated rate
Group A has eight non-completers. If 25% of them complete the set next week, what will Group A’s completion rate become?
- A. 82.5%
- B. 85%
- C. 87.5%
- D. 90%
PAUSE · CHECK · IMPROVE
Use the next section as an action step.
Keep your working and source notes. Record what was uncertain, then choose one small correction or verification task before moving on.
Answers and explanations
Q1 — C, 80%. Completion rate = 32 ÷ 40 × 100 = 80%.
Q2 — B, Group B. Rates are A 80%, B 35/50 = 70%, C 36/45 = 80%, and D 48/60 = 80%.
Q3 — C, 151. Add the completers: 32 + 35 + 36 + 48 = 151. Do not add enrolment numbers.
Q4 — C, 73.7. Group C contributes 36 × 72 = 2,592 score points and Group D contributes 48 × 75 = 3,600. Combined average = 6,192 ÷ 84 ≈ 73.7. The simple average 73.5 ignores different group sizes.
Q5 — B, 10 percentage points. Group D is 80% and Group B is 70%, so the direct difference is 10 percentage points. A relative increase would answer a different question.
Q6 — B, 85%. Twenty-five percent of eight is two. Completers rise from 32 to 34 while enrolment stays 40: 34 ÷ 40 × 100 = 85%.
Turn a chart into a checklist
Before using a bar, line or pie chart, state the unit, time period, categories and whether the scale starts at zero. Then estimate the answer before exact calculation. If two choices are close, keep fractions or full decimals until the final step.
Explore the Quantitative Ability hub and the CMAT sample questions for related practice.
The table, questions and explanations are original MKS learning material. Study scenes are AI-generated illustrations.
Keep your preparation moving.
Explore the wider CMAT learning route or find current class information with MKSPrep.
