Question

which data set matches the line plot? hours spent on chores per week data set: $\frac{2}{3},1\frac{2}{3},2\frac{1}{3}$ data set: $1,1\frac{1}{3},1\frac{2}{3},2,2\frac{1}{3},2\frac{1}{3},3$ data set: $1,1\frac{1}{3},2,2\frac{1}{3},3$ data set: $1,1,1\frac{1}{3},1\frac{1}{3},2,2,2,2,2\frac{1}{3},2\frac{1}{3},2\frac{1}{3},2\frac{1}{3},2\frac{1}{3},3,3,3$

Explanation:

Step1: Count data - points per value

Count the number of dots above each value on the line - plot. There are 2 dots above 1, 2 dots above $1\frac{1}{3}$, 5 dots above 2, 6 dots above $2\frac{1}{3}$, and 3 dots above 3.

Step2: Check each data - set

• For the first data - set $\frac{2}{3},1\frac{2}{3},2\frac{1}{3}$, it has only 3 values and does not match the counts from the line - plot.
• For the second data - set $1,1\frac{1}{3},1\frac{2}{3},2,2\frac{1}{3},2\frac{1}{3},3$, the counts of values do not match the line - plot.
• For the third data - set $1,1\frac{1}{3},2,2\frac{1}{3},3$, the counts of values do not match the line - plot.
• For the fourth data - set $1,1,1\frac{1}{3},1\frac{1}{3},2,2,2,2,2\frac{1}{3},2\frac{1}{3},2\frac{1}{3},2\frac{1}{3},2\frac{1}{3},3,3,3$, it has 2 values of 1, 2 values of $1\frac{1}{3}$, 4 values of 2, 5 values of $2\frac{1}{3}$, and 3 values of 3 which closely matches the counts from the line - plot.

Answer:

The fourth data - set: $1,1,1\frac{1}{3},1\frac{1}{3},2,2,2,2,2\frac{1}{3},2\frac{1}{3},2\frac{1}{3},2\frac{1}{3},2\frac{1}{3},3,3,3$