Question

In an aquarium, there are 50 fish as per the following table.

Color of Fish	Number of Fish
Red	15
Blue	5
Yellow	30
Total	50

Which of the following pie chart shows the correct representation of the given data?

• A.
• B.
• C. None of the above.

Answer 1

The correct option is B

There are total $50$ fish in the aquarium.

Out of these $50$ fish,
$\bullet$ Number of red fish = $15$, i.e., $\frac{15}{50}=\frac{3}{10}$ fraction of the total fish in the aquarium are red in color.

$\bullet$ Number of blue fish= $5$, i.e., $\frac{5}{50}=\frac{1}{10}$ fraction of the total fish in the aquarium are blue in color.

$\bullet$ Number of yellow fish = $30$, i.e., $\frac{30}{50}=\frac{3}{5}$ fraction of the total fish in the aquarium are yellow in color.

The fractions of different fish are summarized in the table below:

Color of Fish	Number of Fish	Fraction
Red	15	$\frac{3}{10}$
Blue	5	$\frac{1}{10}$
Yellow	30	$\frac{3}{5}$
Total	501	$\frac{1}{1}$

For calculating the angular proportion of different fish in the pie chart, we multiply the respective fractions by ${360}^o$.

Color of Fish	Number of Fish	Angular Proportion
Red	15	$\frac{3}{10}\times {360}^o={108}^o$
Blue	5	$\frac{1}{10}\times {360}^o={36}^o$
Yellow	30	$\frac{3}{5}\times {360}^o={216}^o$
Total	501	$\frac{1}{1}\times {360}^o={360}^o$

For the above calculated angular proportions, the correct circle graph or pie chart of the data is

$\therefore$ Option (b.) is the correct one.