Reconstruct individual values from mean, median, mode, range or min/max

CAT has tested this idea 19 times across 3 papers, from 2023 to 2024. Solve one, and the others are the same method with different numbers or wording, which is why repeated concepts are the most efficient thing to practise.

QuestionWhat it asksAnswer
CAT 2023 Slot 1 · DILR Q6Five restaurants rate five workers; mean/median/mode/range given0
CAT 2023 Slot 1 · DILR Q7Five restaurants rate five workers; mean/median/mode/range given0
CAT 2023 Slot 1 · DILR Q8Five restaurants rate five workers; mean/median/mode/range given3
CAT 2023 Slot 1 · DILR Q9Five restaurants rate five workers; mean/median/mode/range given4
CAT 2023 Slot 1 · DILR Q10Five restaurants rate five workers; mean/median/mode/range givenD
CAT 2023 Slot 3 · DILR Q6Online/offline registrations; monthly min, max, median given120
CAT 2023 Slot 3 · DILR Q7Online/offline registrations; monthly min, max, median given40
CAT 2023 Slot 3 · DILR Q8Online/offline registrations; monthly min, max, median givenB
CAT 2023 Slot 3 · DILR Q9Online/offline registrations; monthly min, max, median givenD
CAT 2023 Slot 3 · DILR Q10Online/offline registrations; monthly min, max, median givenD
CAT 2023 Slot 3 · DILR Q1Six students' project and test scores, min/max/median clues60
CAT 2023 Slot 3 · DILR Q2Six students' project and test scores, min/max/median cluesC
CAT 2023 Slot 3 · DILR Q3Six students' project and test scores, min/max/median cluesB
CAT 2023 Slot 3 · DILR Q4Six students' project and test scores, min/max/median clues40
CAT 2023 Slot 3 · DILR Q5Six students' project and test scores, min/max/median cluesA
CAT 2024 Slot 2 · DILR Q15Daily product ratings, cumulative averages and modes150
CAT 2024 Slot 2 · DILR Q16Daily product ratings, cumulative averages and modesD
CAT 2024 Slot 2 · DILR Q17Daily product ratings, cumulative averages and modes4
CAT 2024 Slot 2 · DILR Q18Daily product ratings, cumulative averages and modesC

Part of Quant-based Puzzles (127 questions since 2017).