Question

In this assignment, you will share your thoughts on the following questions:

Discuss circumstances under which it is preferable to use relative frequency distributions instead of frequency distributions?

Why shouldn’t classes overlap when one summarizes continuous data?

Discuss the advantages and disadvantages of histograms versus stem-and-leaf plots.

Answer 1

1. Condition that indicate use of relative frequency distribution instead of frequency distribution are

• use relative frequency distribution if we focus on comparing diffrent classes to the whole
• use frequency distribution if we focus on comparing diffrent classes

2. class should'nt overlap so there is no confusion as to which class an observation belong.

3. stem and leaf plot is a graph that is similar to histogram but it display more information.The plot can be constructed using pencil and paper in case of stem and leaf. value of each individual point can be recovered from a plot.

ADVANTAGE OF STEM AND LEAF

• It is convnient to use on determining mode and median of set of data quickly
• it is used to quickly organise large list of data values
• outliners, data clusters or graph are easily visible

DISADVANTAGE OF STEM AND LEAF

• a stem and leaf plot is less informative for small set of data

ADVANTAGE OF HISTOGRAM

• A histogram provide a way to display frequency of data occurrences along with interval

DISADVANTAGE OF HISTOGRAM

• The use of interval prevents the calculation of an exact measure of central tendency