Graphing Activity #9

Base your answers to questions 1 through 3 on the information below and on your knowledge of biology.

A science class was studying various human physical characteristics in an investigation for a report on human genetics. As part of the investigation, the students measured the arm span of the class members. The data table below summarizes the class results.

\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{Arm Span of the Students} \\
\hline Student Arm Span (cm) & Number of Students \\
\hline [tex]$136-140$[/tex] & 1 \\
\hline [tex]$141-145$[/tex] & 2 \\
\hline [tex]$146-150$[/tex] & 0 \\
\hline [tex]$151-155$[/tex] & 4 \\
\hline [tex]$156-160$[/tex] & 5 \\
\hline [tex]$161-165$[/tex] & 8 \\
\hline [tex]$166-170$[/tex] & 5 \\
\hline [tex]$171-175$[/tex] & 5 \\
\hline [tex]$176-180$[/tex] & 3 \\
\hline [tex]$181-185$[/tex] & 1 \\
\hline
\end{tabular}

Directions (1-3): Using the information in the data table, construct a bar graph on the grid provided, following the directions below.

1. Mark an appropriate scale on the axis labeled "Number of Students." [1]
2. Construct vertical bars to represent the data. Shade in each bar. [1]



Answer :

Sure! Let's break this down step by step:

### 1. Mark an Appropriate Scale on the Axis Labeled "Number of Students."

We need to create a scale for the "Number of Students" axis on our bar graph. To do this properly, let's analyze the data:

- The minimum number of students in any arm span category is 0.
- The maximum number of students in any arm span category is 8.

Given this range (0 to 8), we can choose a scale that allows us to represent each possible number of students clearly. Each unit (1) on the vertical axis can represent 1 student. You might label the vertical axis from 0 to 8 at intervals of 1.

### 2. Construct Vertical Bars to Represent the Data. Shade in Each Bar.

Next, we'll draw the bars according to our scale and shade them. Here's how the categories and their corresponding bars look:

- 136-140 cm: 1 student
- 141-145 cm: 2 students
- 146-150 cm: 0 students
- 151-155 cm: 4 students
- 156-160 cm: 5 students
- 161-165 cm: 8 students
- 166-170 cm: 5 students
- 171-175 cm: 5 students
- 176-180 cm: 3 students
- 181-185 cm: 1 student

Each bar will be constructed with its height corresponding to the number of students in that arm span category:

- Draw a vertical bar above "136-140 cm" extending up to 1 on the number-of-students scale. Shade it in.
- Draw a vertical bar above "141-145 cm" extending up to 2 on the number-of-students scale. Shade it in.
- Draw a vertical bar above "146-150 cm" extending up to 0 on the number-of-students scale. Shade it in.
- Draw a vertical bar above "151-155 cm" extending up to 4 on the number-of-students scale. Shade it in.
- Draw a vertical bar above "156-160 cm" extending up to 5 on the number-of-students scale. Shade it in.
- Draw a vertical bar above "161-165 cm" extending up to 8 on the number-of-students scale. Shade it in.
- Draw a vertical bar above "166-170 cm" extending up to 5 on the number-of-students scale. Shade it in.
- Draw a vertical bar above "171-175 cm" extending up to 5 on the number-of-students scale. Shade it in.
- Draw a vertical bar above "176-180 cm" extending up to 3 on the number-of-students scale. Shade it in.
- Draw a vertical bar above "181-185 cm" extending up to 1 on the number-of-students scale. Shade it in.

Your bar graph should have each bar labeled at its base with the corresponding arm span category, and the height of each bar should match the number of students measured in that category.

### Final Graph:
Please ensure that the graph has clear, consistent labeling of the arm spans on the horizontal axis and the number of students on the vertical axis. Each bar should be neat, of equal width, and properly shaded to represent the given data accurately.