Question

For each part below, use a complete sentence to comment on how the value obtained from the data compares to the theoretical value you expected from the distribution X ~ U(0, 1).

For reference, the empirical data is as follows: Mean = .5503 Standard Deviation = .2729, 1st Quartile = .3525 Median = .6106, 3rd Quartile = .7276

minimum value:

third quartile:

1st quartile:

maximum value:

median:

width of IQR:

overall shape:

Answer 1

minimum value:0 (obtained from therotical distr)

third quartile=Q3= 0.7276 (obtained from empirical data)

1st quartile:Q1= 0.3525     (obtained from empirical data)

maximum value:1    (obtained from therotical distr)

median:=0.6106    (obtained from empirical data)

width of IQR:Q3-Q1=0.7276-0.3525 =0.3751 (calculated from empirical data

overall shape:negative skew

since mean value is less than median

negatively skewed(negatively skewed)

skewed to left.