The following data represent the per capita spending in thou

The following data represent the per capita spending, in thousands of dollars, of several states in 2004. 3.38 8.31 10.37 11.16 12.7 12.79 13.25 14.09 14.92 15.13 14.38 Decide whether the data appear to be approximately normal by comparing data characteristics to theoretical properties Decide whether the data appear to be approximately normal by constructing a normal probability plot Choose the best description of the distribution of the given data based on the properties of the data. The data are skewed to the right. The data appear to be normally distributed. The data are skewed to the left.

Solution

to decide whether the data is normally distributed or not we have to determine the mean ,median and mode of the data.

from the data mean=sum of all data/total data =130.48/11 =11.86

median =middle value=12.79

mode=all value

For the data to be normally distributed the mean=median=mode

As all the value is different,therefore it is not normally distributed

for the skewed distribution

if mean >median -------->then rigth skewed

median>mean then left skewed

As mdian=12.79>mean(11.86)--therefore it is skewed to the left

Your answers are perfect--thanks