Chapter 1, Problem T1.11SPT

a.

To determine

To construct: The histogram for the provided data set. Also, check whether the data set is skewed to the right.

Explanation of Solution

Given:

The data set is given.

Graph:

The histogram is constructed as:

  

Interpretation:

Here, most of the data is lying on the right side of the graph. Thus, it is skewed to the right.

b.

To determine

To find: Whether there any outlier exists.

Explanation of Solution

From the above constructed histogram, it is clear that there is one value which is on distance of the other values.

The outlier is 151.

c.

To determine

To explain: Whether mean and standard deviation or IQR and median should be used in the provided distribution.

Explanation of Solution

From the above part, it is clear that the outlier exists in the data set. Thus, the IQR and median should be calculated here because these both are least affected by the extreme values.