Question

the judge at a cake contest made note of how much sugar was used in each cake.
amount of sugar (cups)
$1\frac{3}{4}$ $1\frac{3}{4}$ $1\frac{1}{2}$ $1\frac{7}{8}$ $1\frac{7}{8}$ $1\frac{7}{8}$ $1$ $1\frac{7}{8}$ $1\frac{5}{8}$
use the data in the list to complete the line plot below.
click to select the xs. to clear a column, click on the number line below it.
amount of sugar
x x x x x x x x
x x x x x x x x
x x x x x x x x
x x x x x x x x
← 1 $1\frac{1}{8}$ $1\frac{1}{4}$ $1\frac{3}{8}$ $1\frac{1}{2}$ $1\frac{5}{8}$ $1\frac{3}{4}$ $1\frac{7}{8}$ →
cups
submit

Explanation:

Step1: Count the frequency of each value

• For \(1\): occurs \(1\) time.
• For \(1\frac{2}{4}=1\frac{1}{2}\): occurs \(1\) time.
• For \(1\frac{3}{4}\): occurs \(2\) times.
• For \(1\frac{1}{2}\): occurs \(1\) time.
• For \(1\frac{7}{8}\): occurs \(3\) times.
• For \(1\frac{3}{8}\): occurs \(1\) time.
• For \(1\frac{7}{8}\): occurs \(3\) times (again, but we already counted once, total \(3\) times).
• For \(1\): occurs \(1\) time (already counted).
• For \(1\frac{7}{8}\): occurs \(3\) times (already counted).
• For \(1\frac{5}{8}\): occurs \(1\) time.

Step2: Place X's on the line - plot

• At \(1\): place \(1\) X.
• At \(1\frac{1}{2}\): place \(1\) X.
• At \(1\frac{3}{4}\): place \(2\) X's.
• At \(1\frac{7}{8}\): place \(3\) X's.
• At \(1\frac{3}{8}\): place \(1\) X.
• At \(1\frac{5}{8}\): place \(1\) X.

Answer:

Follow the above - step frequency - based placement of X's on the given line - plot.