Graphically illustrate the parcel weight data by Service Used . Is the data norm

Question

Graphically illustrate the parcel weight data by Service Used. Is the data normal? Describe the variability.

Please see graph below. Please answer if the data is normal and variability description.

Many thanks

Summary Report for Parcel Weight (Kgs) Service Used Overnight Anderson-Darling Normality Test A-Squared P-Value Mean StDev Variance Skewness Kurtosis 0.40 0.300 3.6880 0.7260 0.5271 1.31084 2.00028 10 Minimum Median Maximum 2.9300 1st Quartile 3.1225 3.5550 3rd Quartile 4.1025 5.3300 95% Confidence Interval for Mean 3.1687 3.1050 0.4994 4.2073 2.4 3.2 4.0 4.8 95% Confidence Interval for Median 4.1182 95% Confidence Interval for StDev 1.3254 95% Confidence Intervals Mean Median 3.0 3.2 3.4 3.6 3.8 4.0 4.2

Explanation / Answer

Is the data normal?

Yes, the data is normal because the p - value for normality test is coming to be 0.3000 which is greater than Ho so we will not reject the null hypothesis which states that the population is normally distributed.

Hence,

The data is normal.

Variability?

The variability is quite high and although the data is approximately normal, it is slightly skewed towards the right since the right tail of boxplot is longer than its left tail.

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