Question

# Find the missing frequency (p) for the following distribution whose mean is 7.68 x: 3 5 7 9 11 13 f: 6 8 15 p 8 4

Solution

## Calculation of Mean xi fi fi xi 3 6 18 5 8 40 7 15 105 9 p 9p 11 8 88 13 4 52 Total ${\sum }_{}{f}_{i}$ = 41 + p ${\sum }_{}{f}_{i}{x}_{i}$ = 303 + 9p We have: ${\sum }_{}{f}_{i}$ = 41+ p, ​ ${\sum }_{}{f}_{i}{x}_{i}$ = 303 +9p ∴ Mean =$\frac{{\sum }_{}{f}_{i}{x}_{i}}{{\sum }_{}{f}_{i}}$   MathematicsRD Sharma (2014)Standard VII

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