A set of data has a normal distribution with a mean of 5.1 and standard deviation of 0.9. Find the percent of data between 6.0 and 6.9

The percent data between 6.0 and 6.9 would be 13.59%. Here’s the complete solution for this specific problem.

z = (X - Mean) / SD

z1 = (6 - 5.1) / 09 = + 1

z2 = (6.9 - 5.1) / 09 = + 2

Required Percent = P (6 < X < 6.9) * 100

= P (1 < z < 2) * 100

= [P (z < 2) - P (z < 1) ]*100

= [0.9772 - 0.8413]*100

= 0.1359*100

= 13.59%

I am hoping that this has answered your query.