Question

Assume that the following table of observation in a dataset represents a sample of physician incomes from hospital. create box plot for data. A.118, B.136, C.129, D.131, E.141, F.138, G.134, H.124, I.193, J.119, K.128, L.128.

A) calculate a 5-point summary for the data.

B) create a box plot for the data.

C) Are their any outliers? If so, indicate how you determined them in your calculation.

Answer 1

(A) 5 point summary is:

Minimum Value = 118

1st Quantile = 127

Median = 130

Mean = 134.9

3rd Quantile = 136.5

Maximum Value = 193

(B) Box Plot is given below which is obtained from R Studio using the function boxplot()

(C) Yes, there are outliers present in the data. The box plot is the perfect way to find the possible outliers in the dataset. The dotted point represented at 193 alongside the x-axis in the above boxplot is the outlier. Outliers in the boxplot are shown by such dotted points.