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TiliK225 [7]
3 years ago
12

The line plot below shows a number of ounces of juice Daniel poured into glasses which shows the number of ounces Daniel would h

ave poured if he had poured the same amount in each glass
Mathematics
1 answer:
Darina [25.2K]3 years ago
7 0

The question is an illustration of mean or averages.

<em>If he pours equal amount in the glasses, </em>8\frac{3}{4} oz<em> would be in each glass</em>

<em>I've added as an attachment, the missing line plot.</em>

The data on the line plot can be represented as follows:

\left[\begin{array}{cccccccc}x&7&7\frac 12&8&8\frac12&9&9\frac 12 & 10 \\f&0&0&2&1&4&1&0\end{array}\right]

Where:

<em />x \to<em> the glasses</em>

<em />f \to<em> number of ounces</em>

<em />

Glasses with no x on the line plot have a frequency of 0.

If he pours an equal amount of ounces in each glass, the amount in each glass is the mean.

The mean is then calculated as:

\bar x = \frac{\sum fx}{\sum f}

So, we have:

\bar x = \frac{0 \times 7 + 7\frac 12 \times 0 + 8 \times 2 + 8\frac 12 \times 1 + 9 \times 4 + 9\frac 12 \times 1 + 10 \times 1}{0 + 0 + 2+1+4+1+0}

\bar x = \frac{0 + 0 + 16 + 8\frac 12 + 36 + 9\frac 12+ 10}{8}

\bar x = \frac{70}{8}

Simplify

\bar x = 8\frac{3}{4}

<em>Hence, if he pours equal amount in the glasses, </em>8\frac{3}{4} oz<em> would be in each glass</em>

<em />

Read more about mean at:

brainly.com/question/2018505

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