Data representation is the process of organizing and displaying data using charts, graphs, or tables so that patterns, trends, and comparisons become easier to see and understand at a glance.
Raw data is like puzzle pieces scattered on a table - hard to make sense of. When you organize it into charts, graphs, or tables, the picture becomes clear. A bar chart of ice cream preferences instantly shows which flavor wins, while a list of 100 names wouldn't.
Showing a random 20 of 50 problems.
Example 1
hard
A line graph shows monthly sales for 6 months: 30, 45, 50, 42, 60, 55. What is the largest month-to-month increase?What is the largest month-to-month increase in sales?
Example 2
easy
Which display best shows categorical data: a bar graph or a number line? Answer 1 for bar graph, 2 for number line.
Example 3
medium
A pictograph uses a key of 1 symbol = 5. A row has 4 full symbols and 1 half symbol. How many items does the row show?
Example 4
easy
Which display best shows numerical data spread over a range: a dot plot or a pie chart of categories? Answer 1 for dot plot, 2 for pie chart.
Example 5
easy
A graph display must clearly label the categories or axes. If two of the four axes/labels are missing, what fraction of labels are missing?
Example 6
easy
A class recorded the number of pets owned by each student: 0, 1, 1, 2, 3, 1, 0, 2, 4, 1. Organise this data into a frequency table.
Example 7
easy
A pictograph key says one symbol = 3. There are 7 symbols. How many items total?
Example 8
easy
Which type of graph would be most appropriate to display the favourite ice-cream flavours of 30 students: a bar graph, a line graph, or a scatter plot? Explain.
Example 9
medium
A frequency table shows counts 18, 12, 24. What scale step (the largest whole number that divides all three) lets bar tops sit exactly on gridlines?
Example 10
medium
A dot plot has dots at values 3, 4, 4, 5, 6, 6, 6. How many dots are on value 6?
Example 11
medium
A pie chart shows that math is 30% of subject preference among 40 students. How many students chose math?If 40 students total, how many chose math?
Example 12
easy
A cafeteria records the number of sandwiches sold each day for six weeks. Which display would best show the overall trend over time: a line graph, a bar graph, or a pie chart? Explain.
Example 13
hard
A line graph runs from 0 to 100 on the y-axis with 5 evenly spaced gridlines after 0. What value does each gridline step represent?
Example 14
hard
A bar graph using y-axis ticks of 5 starts at 0. Bars are at heights 17, 23, 8, 12. How many bars land exactly on a gridline?
Example 15
easy
A frequency table has counts 5, 5, 5, 5, 5. What is the total?
Example 16
easy
A bar graph shows bars of heights 5, 8, 3. What is the total represented?What is the total represented by all three bars?
Example 17
medium
A display shows 5 categories. If 2 categories are each 10 and the other 3 are each 4, what is the grand total?
Example 18
easy
A display should always have its axes labeled. If a graph has 0 labeled axes out of 2, how many labels are missing?
Example 19
challenge
A pictograph must show 27 items with a key where each symbol = 4. How many full symbols and what fraction of a symbol are needed? Give the fraction part.
Example 20
easy
To show change over time, which is more appropriate: a line graph or a pie chart? Answer 1 for line graph, 2 for pie chart.