Question

The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find any outliers and provide an explanation for them. SHOW THE WORK.

0.4 1.0 1.5 1.6 2.0

2.2 2.4 2.7 3.4 3.4

3.5 3.6 3.6 3.7 3.7

3.9 4.1 4.2 4.2 7.0

Answer 1

Here the normal monthly precipitation for August is listed for 20 different U.S. cities. Here the box plot of the data is given below

The box plot has mainly 5 points. Lower line indicates the minimum value of the data points. Lower line of the box indicates the first quartile. The first quartile (Q₁) is defined as the middle number between the smallest number and the median of the data set. Line inside the box is the median of the data points. Upper line of the box is the third quartile. The third quartile (Q₃) is the middle value between the median and the highest value of the data set. the last line in the upper end is the maximum value. Here the point 7 is lies far away from the rest of the data and is the outlier in this data.an outlier is a point that differs significantly from other observations. An outlier may be due to variability in the measurement or it may be due to experimental error; the latter are sometimes excluded from the data set.

box plot is a diagram that gives a visual representation to the distribution of the data, highlighting where most values lie and those values that greatly differ from the norm, called outliers. Here the median is greater than the mean hence the data is negatively skewed.