Understanding Semilogarithmic Graphs

Chad Kenny explains how to use semilogarithmic graphs, where one axis is logarithmically spaced. He discusses the benefits of logarithmic scales for compressing data and maintaining variability. The video covers proportional spacing on logarithmic axes and provides examples. A rhyme is introduced to help with counting on these scales, followed by practical applications and advanced concepts. The video concludes with a demonstration of creating such graphs using Excel.

What is a semilogarithmic graph?

• A graph where both axes are linear

• A graph where one axis is logarithmic and the other is linear

• A graph where both axes are logarithmic

• A graph with no axes

Why do the horizontal lines on a semilogarithmic graph get closer together?

• Because the graph is shrinking

• Because the graph is expanding

• Because the logarithmic scale compresses data

• Because the linear scale expands data

What is the main advantage of using a logarithmic scale?

• It makes data harder to read

• It compresses a large range of data into a small space

• It expands a small range of data into a large space

• It makes data less variable

How are distances on a logarithmic axis spaced?

• Equally spaced

• Proportionally spaced

• Not spaced at all

• Randomly spaced

What is the rhyme used for in the context of semilogarithmic graphs?

• To remember the numbers with a 'one'

• To remember the shape of the graph

• To remember the colors of the lines

• To remember the title of the graph

What does the rhyme help you determine on a semilogarithmic graph?

• The color of the lines

• The starting point and increment for counting

• The shape of the graph

• The title of the graph

If you start counting from 0.1 by 0.1s, what is the next number after 0.3?

• 0.5

• 0.4

• 0.6

• 0.2

What is the value of the red line if it is at 0.5?

• 0.5

• 0.4

• 0.6

• 0.7

What is the value of the line if it is halfway between 10 and 20?

• 18

• 15

• 20

• 12

If a dot is between 0.1 and 0.2, what is its approximate value?

• 0.35

• 0.15

• 0.25

• 0.05