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Discuss the relative advantages and disadvantages of stem-and leaf diagrams versus frequency histograms.

Short Answer

Expert verified

The advantage of a stem leaf diagram is it gives a concise representation of data.

The advantage of a frequency histogram is, that it is visually strong.

Histograms are usually preferable to stem and leaf diagrams in large data sets.

The disadvantage of a stem leaf diagram is not visual.

The disadvantage of histogram frequency is cannot read exact values because data is grouped into categories.

Step by step solution

01

Concept introduction

A histogram is a data representation that looks like a bar graph that buckets a variety of outcomes into columns along the x-axis.

02

Advantages of stem leaf diagram and frequency histogram

The advantage of a stem leaf diagram:

  • Data presented in a clear and concise manner
  • Range, minimum and maximum values, gaps and clusters, and outliers are all plainly visible.

The advantages of frequency hostogram:

  • Visually appealing
  • The vertical axis is usually a tally of how many items fall into each category.
  • In big data sets, histograms are frequently preferred over stem and leaf diagrams.
03

The disadvantages of stem leaf diagram and frequency diagram

The disadvantages of stem leaf diagram

  • It doesn't look good.
  • For huge data sets, it is difficult to determine measurements of centrality.
  • Not useful with large data sets and awkward with data containing many digits.

The disadvantages of frequency diagram

  • Because the data is organised into groups, it is impossible to read exact values.
  • Comparing two data sets is more challenging.
  • Only use this method with continuous data.

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