Explaining score influences mean and standard deviation

Assignment Help Basic Statistics

Reference no: EM1321821

Q1) Solve following linear programming model using computer:

Minimize Z = 8x₁ + 6x₂

Subject to

4x₁ + 2x₂ ≥ 20

-6x₁ + 4x₂≤ 12

x₁ + x₂ ≥ 6

x₁, x₂ ≥ 0

Q2) Solve given linear programming model using computer:

Maximize Z = 5x₁ + 8x₂

Subject to

3x₁ + 5x₂ ≤ 50

2x₁ + 4x₂ ≤ 40

x₁ ≤ 8

x₂ ≤ 10

x₁, x₂ ≥ 0

For data in given sample: 8, 1, 5, 1 5

a) Determine the mean and standard deviation.

b) Now change te score of X=8 to X=18 and determine the new median and standard deviation.

c) Explain how one extreme score influences mean and standard deviation.

Reference no: EM1321821

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