Pie Chart Examples in Statistics

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Pie Chart.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Statistics.

Concept Recap

A pie chart is a circular graph that shows how a whole is split into categories. Each sector represents a category, and the size of the sector is proportional to that category's share of the total.

A pie chart works best when you want to ask “how much of the whole belongs to each group?” The whole circle stands for 100%, and each slice shows one part of that whole.

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How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: Pie Chart organizes data so the right pattern is visible without distorting the counts or scale.

Common stuck point: Students often know a procedure related to pie chart but skip the recognition step: Am I choosing or interpreting a display that matches the type of data and the question being asked? That leads to a calculation or graph that looks reasonable but answers a different question.

Sense of Study hint: Ask: Am I choosing or interpreting a display that matches the type of data and the question being asked?

Worked Examples

Example 1

medium
A class of 3030 students: 99 chose pizza, 1212 chose burgers, 66 chose salad, 33 chose other. What are the four pie chart sector angles?

Answer

108∘,144∘,72∘,36∘108^\circ, 144^\circ, 72^\circ, 36^\circ

First step

1
Pizza: 930×360=108∘\tfrac{9}{30} \times 360 = 108^\circ.

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Example 2

medium
A pie chart of 720720 trees has sectors of 180∘180^\circ oak, 108∘108^\circ maple, and the rest pine. How many pine trees are there?

Example 3

medium
A budget pie chart: rent 40%40\%, food 20%20\%, transport 15%15\%, savings 10%10\%, other the rest. If the budget is $2{,}000, how many dollars are spent on rent?

Example 4

hard
A pie chart of 180180 books shows fiction 90∘90^\circ, mystery 60∘60^\circ, biography 45∘45^\circ, and the rest 'other.' How many other books are there?

Example 5

hard
A school pie chart of grade preferences: 99th 20%20\%, 1010th 25%25\%, 1111th 30%30\%, 1212th 25%25\%. The chart shows 99th as 80∘80^\circ. Is the chart drawn correctly?

Example 6

hard
Two pie charts represent the same survey done in two years. In year 1, 40%40\% of 200200 chose 'yes.' In year 2, 50%50\% of 300300 chose 'yes.' Did the count of 'yes' answers go up or down?

Example 7

hard
A pie chart of music genres for 480480 listeners shows pop 50%50\%, rock 25%25\%, jazz 15%15\%, classical 10%10\%. How many listeners chose jazz, and what is the jazz sector angle?

Example 8

challenge
A pie chart of 1,2001{,}200 survey responses is shown but the legend is cut off. You can see two adjacent sectors: one is exactly twice the other, and together they take up 108∘108^\circ. How many people are represented in the smaller sector?

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

easy
A pie chart shows 25% of students chose soccer. How many degrees is the soccer sector?

Example 2

easy
A pie chart sector for 'red' measures 90 degrees. What percent of the whole is red?

Example 3

easy
A pie chart of 200 people shows 50% like tea. How many people like tea?

Example 4

easy
A pie chart has three sectors: 50%, 30%, and the rest. What percent is the third sector?

Example 5

easy
A pie chart sector is exactly half the circle. What percent and how many degrees is it?

Example 6

easy
Is a pie chart appropriate for (A) parts of a budget that sum to 100%, or (B) a temperature recorded each hour?

Example 7

easy
A pie chart shows a quarter of viewers watched comedy. What is that as a fraction and as degrees?

Example 8

easy
Two pie chart sectors are 40% and 35%. Which is the larger slice?

Example 9

medium
A pie chart of 360 survey responses shows 'agree' as a 144-degree sector. How many people agreed?

Example 10

medium
A pie chart shows fruit preferences of 80 people: apple 40%, banana 25%, cherry the rest. How many chose cherry?

Example 11

medium
A pie chart sector for 'maybe' is 60 degrees. If 240 people were surveyed, how many said 'maybe'?

Example 12

medium
A pie chart shows three categories with 90, 120, and the remaining degrees. What percent is the third category?

Example 13

medium
In a pie chart, category A is 30% and category B has twice as many people as A. What percent is B, and how many degrees?

Example 14

medium
A pie chart of 500 votes shows candidate X with a 162-degree sector. How many votes did X get?

Example 15

medium
A pie chart has sectors 20%, 20%, 25%, and the rest. The total is 400 people. How many are in the largest sector?

Example 16

medium
A pie chart shows expenses: rent 50%, food 25%, other 25%. Rent is \$1000. What is the total monthly budget?

Example 17

medium
A pie chart's sectors are in the ratio 3:4:5. What is the degree measure of the largest sector?

Example 18

challenge
A pie chart shows four categories. Three sectors are 72, 108, and 90 degrees. The fourth category has 25 people. How many people are in the whole survey?

Example 19

challenge
A pie chart of 720 people has sector A double sector B, and sector C equal to A plus B. What is the degree measure of sector C?

Example 20

challenge
A pie chart shows 35% of 1200 students prefer math. Of those math students, 40% are in 8th grade. How many 8th graders prefer math, and what fraction of all 1200 is that?

Example 21

easy
A pie chart shows 10%10\% of pets are birds. How many degrees is the bird sector?

Example 22

easy
A pie chart sector measures 72∘72^\circ. What fraction of the whole is it?

Example 23

easy
A pie chart of 5050 kids shows 20%20\% chose pizza. How many kids chose pizza?

Example 24

easy
A pie chart sector is 18\frac{1}{8} of the circle. How many degrees is it?

Example 25

easy
In a pie chart, 30%30\% chose red, 30%30\% blue, 40%40\% green. Which sector is largest?

Example 26

easy
A pie chart shows 5%5\% chose other. How many degrees is the 'other' sector?

Example 27

medium
A pie chart of 120120 survey responses shows 25%25\% said 'yes'. How many people said yes?

Example 28

medium
A pie chart has sectors of 90∘90^\circ, 135∘135^\circ, 90∘90^\circ, and one more. What is the last sector's angle?

Example 29

medium
A pie chart shows hobbies: reading 35%35\%, sports 30%30\%, music 20%20\%, art the rest. What percent chose art?

Example 30

medium
A pie chart of 400400 people shows a 54∘54^\circ sector for 'undecided.' How many people were undecided?

Example 31

medium
A pie chart shows 25\frac{2}{5} of a class plays soccer. How many degrees is the soccer sector?

Example 32

medium
A pie chart has six equal sectors. What is the angle of each?

Example 33

hard
A pie chart of 250250 voters shows the 'undecided' sector is 36∘36^\circ. How many voters are undecided?

Example 34

hard
A pie chart sector for 'A' is twice the sector for 'B,' and together they take half the chart. How many degrees is sector A?

Example 35

hard
A pie chart of household spending: housing 35%35\%, food 20%20\%, transport 15%15\%, savings 10%10\%, healthcare 8%8\%, entertainment 7%7\%, other 5%5\%. How many degrees is the entertainment sector?

Example 36

hard
A pie chart of 9090 pets is split into 55 sectors. If each sector represents the same number of pets, how many degrees is each sector and how many pets per sector?
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Background Knowledge

These ideas may be useful before you work through the harder examples.

stat data representationcategorical data