Missing Data DI
Master Missing Data Interpretation. Use deductive logic to find hidden values in Tables and Charts using Averages, Ratios, and Arithmetic Formulas.
Model 1: The 'Sum' Rule (Averages)
- Concept: If Average of N items is X, then Sum = N * X.
- Application: In a missing data table, if Average Marks of 5 students is given, but one student's mark is missing:
- Formula: Missing Value = (Average * N) - (Sum of Known Values).
Example:
Q: Avg of A, B, C is 50. A=40, B=60. Find C.
Solution: Sum = 50*3 = 150. C = 150 - (40+60) = 50.
Model 2: Ratio Balancing
- Concept: If Total and Ratio (A:B) are given, exact values of A and B can be found.
- Missing Data Trap: Sometimes 'Total' is missing, but 'A' is given. Use A to find '1 Unit' and then find Total.
- Formula: If A = 500 and A:B = 5:4, then 5 Units = 500 -> 1 Unit = 100 -> B = 400.
Example:
Q: Male:Female = 3:2. Females = 200. Find Total.
Solution: 2 Units = 200 -> 1 Unit = 100. Total = 5 Units = 500.
Model 3: Arithmetic Logic (Profit & Loss)
- Concept: Use standard formulas to fill table gaps.
- Key Formulas:
SP = CP * (1 + Profit%/100)
CP = SP * 100 / (100 + Profit%)
Marked Price = SP * 100 / (100 - Discount%)
Example:
Q: Profit%=20%, SP=600. Find CP.
Solution: CP = 600 * 100/120 = 500.
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