Question

1. draw a line plot for the following data measured in inches: $1\frac{1}{2}, 2\frac{3}{4}, 3, 2\frac{3}{4}, 2\frac{1}{2}, 2\frac{3}{4}, 3\frac{3}{4}, 3, 3\frac{1}{2}, 2\frac{1}{2}, 3\frac{1}{2}$

Explanation:

Step1: List unique data values

$1\frac{1}{2}, 2\frac{1}{2}, 2\frac{3}{4}, 3, 3\frac{1}{2}, 3\frac{3}{4}$

Step2: Count frequency of each value

• $1\frac{1}{2}$: 1
• $2\frac{1}{2}$: 2
• $2\frac{3}{4}$: 3
• $3$: 2
• $3\frac{1}{2}$: 2
• $3\frac{3}{4}$: 1

Step3: Set up line plot axis

Mark the horizontal axis with the unique values in order: $1\frac{1}{2}, 2\frac{1}{2}, 2\frac{3}{4}, 3, 3\frac{1}{2}, 3\frac{3}{4}$

Step4: Plot frequencies with X's

• Above $1\frac{1}{2}$: 1 X
• Above $2\frac{1}{2}$: 2 X's
• Above $2\frac{3}{4}$: 3 X's
• Above $3$: 2 X's
• Above $3\frac{1}{2}$: 2 X's
• Above $3\frac{3}{4}$: 1 X

Answer:

A line plot with the horizontal axis labeled with $1\frac{1}{2}$, $2\frac{1}{2}$, $2\frac{3}{4}$, $3$, $3\frac{1}{2}$, $3\frac{3}{4}$ (in inches), and the corresponding number of X's above each value: 1, 2, 3, 2, 2, 1 respectively.

Visual representation outline:

       X
       X X
       X X X
       X X
       X X
       X
1 1/2 2 1/2 2 3/4    3    3 1/2 3 3/4