If the mean of a normal distribution is

Abdul Ghani

Abdul Ghani

Answered question

2022-08-20

If the mean of a normal distribution is 20 and its standard deviation is 5 then 95 percent of the data lie within which range

Answer & Explanation

xleb123

xleb123

Skilled2023-06-02Added 181 answers

In a normal distribution with a mean of μ and a standard deviation of σ, approximately 95% of the data lies within the range of μ±2σ.
Given that the mean is μ=20 and the standard deviation is σ=5, we can calculate the range as follows:
Lower bound: μ2σ=202(5)=2010=10
Upper bound: μ+2σ=20+2(5)=20+10=30
Therefore, approximately 95% of the data lies within the range of 10 to 30.
In summary, the range within which 95% of the data lies is 10X30, where X represents the data values.

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