Describe how the presence of possible outliers might be identified on the follow

ID: 3068735 • Letter: D

Question

Describe how the presence of possible outliers might be identified on the following.

(a) histograms

higher center bar than surrounding bars

higher far left or right bar than surrounding bars

large group of bars to the left or right of a gap

gap between the first bar and the rest of bars or between the last bar and the rest of bars

gap around the center of the histogram

b) dotplots

large groups of data to the left or right of a gap

large gap around the center of the data

large gap between data on the far left side or the far right side and the rest of the data

large group of data on the left or right of the dotplot

large group of data in the center of the dotplot

large group of data in the center stems

large group of data near a gap

large group of data in stems on one of the far sides of the stem-and-leaf display

several empty stems after stem including the lowest values or before stem including the highest values

several empty stems in the center of the stem-and-leaf display

(d) box-and-whisker plots

data within the fences placed at Q1 1.5(IQR) and at Q3 + 1.5(IQR)

data beyond the fences placed at Q1 1.5(IQR) and at Q3 + 1.5(IQR)

data beyond the fences placed at Q1 2(IQR) and at Q3 + 2(IQR)

data within the fences placed at Q1 2(IQR) and at Q3 + 2(IQR)

data beyond the fences placed at Q1 1(IQR) and at Q3 + 1(IQR)

Answers: Correct options are as follows:

(a)Histogram:

Gap between the first bar and the rest of bars or between the last bar and the rest of bars

(b)Dotplot:

Large gap between data on the far left side or the far right side and the rest of the data.

Several empty stems after stem including the lowest values or before stem including the highest values.

(d) Box and whisker plots:

Data beyond the fences placed at Q1 1.5(IQR) and at Q3 + 1.5(IQR)