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S3 Maths: Central Tendency and Data Display (Paper 1: basics)
S3 Maths: Central Tendency and Data Display (Paper 1: basics)
S3 maths central tendency paper one, basics: ten questions from mean, median and mode to pie chart angles.
Direct answers Answers in order: 8, 9, 7, 6.75, 3.5, 2 100, 12, 90 degrees, 12, and there can be several modes or none.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 20 |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: S3 Maths: Central Tendency and Data Display |
| Level | S3 |
02 Questions (10 items)
- FoundationWhat is the mean of the data 4, 6, 8, 10 and 12?
- FoundationWhat is the median of 5, 8, 8, 9, 10, 12 and 15?
- FoundationWhat is the mode of 3, 3, 5, 7, 7, 7 and 9?
- IntermediateWhat is the mean of 2, 5, 9 and 11?
- IntermediateWhat is the median of 1, 2, 3, 4, 5 and 6?
- IntermediateThe mean score of 30 students is 70. What is the total score?
- ChallengeFive values have mean 12 and four of them are 10, 11, 13 and 14. What is the fifth?
- ChallengeA category takes 25 percent of a pie chart. What is its sector angle?
- ChallengeFour values have mean 10. After adding a value of 20, what is the new mean?
- Error redoA student says a data set always has exactly one mode. Is that right?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 8 | The total 40 divided by five values gives 8. |
| 2 | 9 | With seven values sorted, the fourth one in the middle is 9. |
| 3 | 7 | Seven appears three times, more often than any other value. |
| 4 | 6.75 | The total 27 divided by four values gives 6.75. |
| 5 | 3.5 | With six values, average the middle pair 3 and 4 to get 3.5. |
| 6 | 2 100 | The total equals the mean times the count, 70 times 30 gives 2 100. |
| 7 | 12 | The total 60 minus the sum 48 leaves 12. |
| 8 | 90 degrees | 360 degrees times 25 percent gives 90 degrees. |
| 9 | 12 | The old total 40 plus 20 gives 60, divided by five values makes 12. |
| 10 | No, there can be several modes or none | Two values can tie for most frequent, and if every value appears once there is no mode. |
04 What to do after marking
- After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
- Repeat the same item two days later; move to the next paper only when both attempts are correct.
- Parents only need the answer and note columns; there is no need to explain every item.
Add all values then divide by the count for the mean, always sort before finding the median, trust the median when extreme values appear, and weight by group size when combining two groups.Tutor Registration →
Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.