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Mean and variance of normal distribution are 20 and 9 respectively. Find Q,, Q2 and.

Answer»

Mean = μ = 20, variance = σ2 = 9. 

∴ σ = 3.

We know that Q1 = μ – 0.6745 σ = 20 – (0.6745 × 3) 

= 17.9765 = 18. 

For a Normal distribution: Q

= μ + 0.6745 σ = 20. + (0.6745 × 3) 

= 22.02 = 22

And θ2/ p = Median = mode 

= 20 = θ2.



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