Q72.Consider the data on x taking the values 0, 2, 4, 8, . . . . . , 2n with frequencies nC0, nC1, nC2, . . . . , nCn respectively. If the mean of this data is 728 , then n is equal to ....... . 2n
What This Question Tests
This question tests the calculation of the mean for a discrete frequency distribution where data values are consecutive even numbers and frequencies are binomial coefficients, requiring sum identities of binomial series.
Concepts Tested
Formulas Used
Mean = Σ(x_i * f_i) / Σf_i
Σ nCk = 2^n
Σ k * nCk = n * 2^(n-1)
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📋 Question Details
- Chapter
- Statistics
- Topic
- Mean of a discrete frequency distribution
- Year
- 2020
- Shift
- 06 Sep Shift 2
- Q Number
- Q72
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 15: Statistics
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