Question

For a population distribution with Mean = 85 and a Standard Deviation of 4, what are the upper and lower limits for 95.4% of the values?

Answer 1

Solution :

Given that ,

Mean = 85

Standard Deviation of 4

P($\mu$ - 2$\sigma$< X < $\mu$ + 2$\sigma$) = 95%

P(85 - 2 * 4< X < 85 + 2 * 4) = 95%

P(77 < X < 93) = 95%

Upper limit = 93

Lower limit = 77