Lower and Upper Boundary of the 95% Confidence Interval for the mean, separated by a space. This might be a new term to some. However, it is an important concept with a simple, formulaic solution. Look it up!
Other than the modal values (which should all be integers) the answers should be in decimal form till one place of decimal (0.0 format). An error margin of +/- 0.1 will be tolerated for the standard deviation and the confidence interval boundaries. The mean, mode and median values should match the expected answers exactly.
Assume that these numbers were sampled from a normal distribution; the sample is a reasonable representation of the distribution; a user can approximate that the population standard deviation =~ standard deviation computed for the given points- with the understanding that assumptions of normality are convenient approximations. Some relevant Youtube videos:
Mean, Median and Mode
Confidence Intervals: Getting a bit more serious!
The first line contains the number of integers.
The second line contains space separated integers for which you need to find the mean, median, mode, standard deviation and confidence interval boundaries.
10 <= N <= 2500
0 < xi <= 105
A total of five lines are required.
Mean (format:0.0) on the first line
Median (format: 0.0) on the second line
Mode(s) (Numerically smallest Integer in case of multiple integers)
Standard Deviation (format:0.0)
Lower and Upper Boundary of Confidence Interval (format: 0.0) with a space between them.