A bar graph is a chart that uses rectangular bars of different heights or lengths to compare quantities across distinct categories. Each bar represents one category, and the bar's length is proportional to the value it represents.
Think of bar graphs as a competition where categories show off their numbers by how tall their bars stand. The taller the bar, the bigger the number. You can instantly see the winner without doing any math!
Showing a random 20 of 50 problems.
Example 1
medium
A double bar graph compares boys vs. girls choosing sports: soccer 10/8, basketball 7/9, tennis 4/5. In how many sports do girls outnumber boys?
Example 2
easy
A bar graph must start its value axis at zero to be honest. If a bar reaches 12 on a zero-based axis, what value does it show?
Example 3
easy
A bar graph shows 5 and 10 for two categories. What is the combined total?What is the combined total of both bars?
Example 4
medium
A bar graph shows total 50 across 5 bars, with four bars at 8, 12, 10, and 11. What is the fifth bar's height?Four bars are known (8, 12, 10, 11) and the total is 50. What is the fifth bar?
Example 5
medium
On a bar graph with gridlines every 4 units, a bar reaches the 6th gridline. What value does it show?
Example 6
hard
A bar graph shows scores rounded to nearest 5: A=20,B=25,C=15,D=30. After a 20% increase in all bars, what is the new total?After a 20% increase in all bars, what is the new total?
Example 7
medium
A bar graph of 5 bars totals 60; four bars are 10, 14, 12, and 13. What is the fifth bar's height?Four bars are known (10, 14, 12, 13) and the total is 60. What is the fifth bar?
Example 8
easy
A bar graph shows votes for class president: A 10, B 7, C 3. Walk through how to find the total votes.What is the total number of votes?
Example 9
medium
A bar graph shows monthly rainfall (cm): Jan 4, Feb 6, Mar 8, Apr 2. What is the mean monthly rainfall?What is the mean monthly rainfall?
Example 10
easy
To compare hobby counts across 5 separate clubs, would you use a bar graph or a histogram?
Example 11
challenge
A bar graph's axis wrongly starts at 10. A bar drawn from 10 to 40 appears to be 3 times another bar from 10 to 20. What is the true ratio of their values (taller to shorter)?
Example 12
hard
A stacked bar graph shows total revenue for a store as products: A \$120, B \$80, C \$200, with returns reducing A by \$30 and C by \$20. What is the net revenue?
Example 13
easy
A bar graph shows category counts 7, 2, 6, 5. What is the smallest value?What is the smallest value?
Example 14
medium
Two bars are in ratio 3:5 and the taller is 25. What is the shorter bar's height?
Example 15
medium
A bar graph shows visits: Mon 40, Tue 50, Wed 60, Thu 50, Fri 80. What is the median?What is the median of the daily visit counts?
Example 16
challenge
A bar graph of 5 bars has total 50 and median (after sorting) 11. If the smallest two bars are equal, the fourth bar is 12, and the largest is 15, what is the value of each of the two smallest bars?
Example 17
challenge
A bar graph shows categories A, B, C where B is 4 more than A and C is double B. If the total is 40, what is C?
Example 18
medium
A bar graph of 4 bars has heights 10, 14, 8, 12. What is the mean height?What is the mean height of the four bars?
Example 19
medium
A bar graph of 40 surveys shows 14 people picking 'pizza'. What percent of respondents chose pizza?
Example 20
easy
A bar graph has bars 3, 3, 3, 3. What is the total of all bars?What is the total of all four bars?