Descriptive Statistics Weight Gas Mileage City Gas Mileage H

Descriptive Statistics: Weight, Gas Mileage City, Gas Mileage Highway

Variable              Mean StDev Median Range Skewness Kurtosis

Weight 3359   1019    3358   5463      1.03      3.76

Gas Mileage City     24.93   7.25   25.00 38.00      1.50      4.78

Gas Mileage Highway 32.97   6.26   34.00 30.00     -0.23      0.42

QUESTION USING DATA ABOVE:

Decide not only whether the data are symmetric or skewed, but whether the data are sufficiently symmetric to make the assumption of normality. Give your reasoning as well as stating your decision about the shape of the data.

**Please use as much wording as possible. Thanks

Solution

Gas Mileage Highway is symmetric and it is normal because, the mean, median and rage are similar and it is more that mesokurtic because the kurtosis aproximily 0.

Gas Milage City Gas Mileage Highway is symmetric and it is normal because the mean, median and rage are similar and it is  leptokurtic because the kurtosis>0.

Weight is is symmetric and it is normal because the mean, median and rage are similar ans it is  leptokurtic because the kurtosis>0