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1.
Partial Fractions
on 19.04.19
2.
Find roots of non-linear equations using Multivariate Newton Raphson method
on 19.04.19
3.
Solve linear equations using Elimination method
on 19.04.19
4.
Maximize Profit case in transportation problem
on 07.04.19
5.
Revised Simplex method
on 26.03.19
6.
Moore-Penrose Pseudoinverse
on 22.03.19
7.
Geometric mean, Harmonic mean for ungrouped data
on 21.03.19
8.
Geometric mean, Harmonic mean for grouped data
on 21.03.19
9.
LQ Decomposition
on 20.03.19
10.
Muller method
on 20.03.19
11.
Matrix Algebra
on 17.03.19
1.
with variables
`[[2x,3y],[3x,4z]]`
2.
with complex numbers
`[[-5i,3i],[4i,5i]]`
3.
with surds
`[[1/sqrt(2),sqrt(2)],[4,-5]]`
12. PERT and CPM
1.
Network diagram
on 10.03.19
2.
Critical path, Total float, Free float, Independent float
on 10.03.19
3.
Project scheduling with uncertain activity times (Optimistic, Most likely, Pessimistic)
on 10.03.19
4.
Project crashing to solve Time-Cost Trade-Off with fixed Indirect cost
on 10.03.19
5.
Project crashing to solve Time-Cost Trade-Off with varying Indirect cost
on 10.03.19
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Method and examples
Statistics Wording Problem
1. The mean of 10 observations is 12.5 . While calculating the mean one observation was by mistake taken as -8 instead of +8 . F ...
2. The mean of 10 observations is 35 . While calculating the mean two observations were by mistake taken as 35 instead of 25 and ...
3. The mean of 15 observations is 16.4 . If we remove one observation from it then the mean of remaining observations is 17 , th ...
4. The sum of 15 observation is 343 . If we remove two observation 18 and 26 , then find out the mean of remaining observations.
5. The mean of 5 observations is 20 . If we add one new observation then the new mean of the observations is 25 . So find out ne ...
6. The mean of observation is 10 . If we add 2 and then multiply or divide by 3 in each observation, then find the new mean ?
Problem 5 of 6
5. The mean of
observations is
. If we add one new observation then the new mean of the observations is
. So find out new added observation.
Solution
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Statistics Wording Problem
5. The mean of 5 observations is 20 . If we add one new observation then the new mean of the observations is 25 . So find out new added observation.
Here `n = 5`, Mean
X
`= 20`
The sum of `5` observation is =
X
× n `= 20 × 5 = 100`
After adding one new observation, the new Mean
X
`= 25`,
the sum of `6` observation = new
X
× n `= 25 × 6 = 150`
`:.` the new observation `= 150 - 100 = 50`.
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