The picture graph shows votes for favorite fruits. <table><tr><th>Fruit</th><th>Picture graph</th></tr><tr><td>Apples</td><td>● ● ●</td></tr><tr><td>Pears</td><td>● ●</td></tr><tr><td>Grapes</td><td>● ● ● ●</td></tr></table> Key: ● = \(2\) votes How many students voted for pears?

A picture graph records the number of stickers collected in three colors. <table><tr><th>Color</th><th>Picture graph</th></tr><tr><td>Red</td><td>★ ★</td></tr><tr><td>Blue</td><td></td></tr><tr><td>Green</td><td>★ ★ ★</td></tr></table> Key: ★ = \(3\) stickers Which color has a value of \(0\)? How many green stickers are shown?

On a picture graph, each ★ stands for \(5\) votes. A row has ★ ★. How many votes does that row show?

The picture graph shows how many shells two friends found. Each ● stands for \(3\) shells. <table><tr><th>Friend</th><th>Shells</th></tr><tr><td>Ada</td><td>● ● ●</td></tr><tr><td>Nico</td><td>● ●</td></tr></table> How many more shells did Ada find than Nico?

A music room counted its rhythm instruments. <table><thead><tr><th>Instrument</th><th>Number</th></tr></thead><tbody><tr><td>Drums</td><td>\(12\)</td></tr><tr><td>Shakers</td><td>\(18\)</td></tr><tr><td>Triangles</td><td>\(9\)</td></tr><tr><td>Wood blocks</td><td>\(15\)</td></tr></tbody></table> A scaled picture graph uses the key “one music-note symbol represents \(3\) instruments.” How many symbols should appear in each row?

A scaled picture graph uses the key “one symbol represents \(6\) items.” Three rows represent \(12\), \(18\), and \(30\) items. How many full symbols are needed in each row, and how many symbols are needed altogether?

A picture graph will show the numbers of reading badges earned in four themes. One symbol represents \(3\) badges. <table><thead><tr><th>Theme</th><th>Badges</th></tr></thead><tbody><tr><td>Robots</td><td>\(0\)</td></tr><tr><td>Animals</td><td>\(9\)</td></tr><tr><td>Space</td><td>\(15\)</td></tr><tr><td>Sports</td><td>\(6\)</td></tr></tbody></table> How many symbols should appear in each row? Explain how the zero category should be shown.

In a picture graph, one symbol represents \(3\) donated board games. A row originally represented \(12\) games. Then \(6\) more games were donated to that category. How many symbols should the updated row contain?

A picture graph uses one full symbol to represent \(4\) items. Half symbols may be used. How many full symbols and half symbols are needed to represent \(14\) items?

A picture graph uses the key “one full symbol represents \(6\) items.” Half symbols may be used. How should rows representing \(9\), \(12\), and \(15\) items be shown?

A picture graph uses the key “one symbol represents \(6\) items.” Its rows contain \(2\), \(4\), and \(6\) full symbols. What data value belongs with each row?

A picture-graph row contains \(6\) symbols, with one symbol representing \(5\) items. The row is split into two new categories: the first gets \(2\) of the symbols, and the second gets the other \(4\) symbols. How many items does each new category represent?

A picture graph uses the key “one full symbol represents \(6\) items.” One row contains \(2\) full symbols and \(1\) half symbol. Another row contains \(4\) full symbols. What value belongs with each row?

A class is making a picture graph titled “Recess Equipment Choices” from this table. <table><tr><th>Equipment</th><th>Students</th></tr><tr><td>Balls</td><td>\(20\)</td></tr><tr><td>Jump ropes</td><td>\(10\)</td></tr><tr><td>Chalk</td><td>\(15\)</td></tr><tr><td>Hula hoops</td><td>\(0\)</td></tr></table> Use only whole ★ symbols. Choose the key from these three choices that works for **every** category: ★ = \(2\) students, ★ = \(5\) students, or ★ = \(10\) students. Then write the completed picture-graph row for each category using ★ symbols; write “no symbols” for a zero row.

A pet survey has these results: dogs \(8\), cats \(4\), fish \(12\). The key is ● = \(4\) votes. Which candidate picture graph represents the data correctly? <table><tr><th>Candidate</th><th>Dogs</th><th>Cats</th><th>Fish</th></tr><tr><td>A</td><td>● ●</td><td>●</td><td>● ● ●</td></tr><tr><td>B</td><td>● ●</td><td>● ●</td><td>● ● ●</td></tr><tr><td>C</td><td>● ● ● ●</td><td>●</td><td>● ● ●</td></tr></table>

In a bird-count picture graph, four ● symbols stand for \(12\) robins. The same key is used for sparrows, which have two ● symbols. How many birds does one symbol mean? How many sparrows were counted?

A class pet survey counted \(6\) dogs, \(4\) cats, and \(0\) fish. Make a picture graph using ● for every \(2\) pets. Write the key and the labeled rows. Should the fish row appear?

A snack poll has \(2\) votes for carrots, \(6\) for crackers, and \(4\) for apples. Make a complete picture graph using the key ● = \(2\) votes. Give a title, the key, and each labeled row as symbols.

At a farm stand, Mira sells \(6\) baskets of pears, \(9\) baskets of apples, and \(12\) baskets of peaches. She wants a picture graph with whole symbols only. Should one symbol mean \(3\) baskets or \(4\) baskets? Give the number of symbols for each fruit.

Volunteers picked up \(5\) bags of litter at the park, \(10\) bags at the river, and \(15\) bags at the playground. Make a complete picture graph using ■ = \(10\) bags. You may use half a square. Give a title, key, and labeled rows.

In a picture graph, ★ stands for \(4\) books. The reading club borrowed \(8\) books, but a student drew ★ ★ ★. How should the row be corrected?

A class counts \(4\) tulips, \(2\) roses, and \(6\) daisies. In their picture graph, ● means \(2\) flowers. A student draws: Tulips: ● ● Roses: ● ● Daisies: ● ● Which rows are wrong? Give the key and all three corrected rows.

Two classes made separate picture graphs of books they read. <table> <tr><th>Class</th><th>Picture graph</th><th>Key</th></tr> <tr><td>A</td><td>★ ★ ★ ★ ★ ★</td><td>★ = 8 books</td></tr> <tr><td>B</td><td>★ ★ ★ ★ ★ ★ ★ ★ ★</td><td>★ = 6 books</td></tr> </table> Which class read more books? Explain why comparing only the numbers of symbols would be misleading.

The picture graph shows cards in a box. Each symbol represents \(2\) cards. <table><thead><tr><th>Picture</th><th>Symbols</th></tr></thead><tbody><tr><td>Star</td><td>★ ★ ★ ★ ★</td></tr><tr><td>Moon</td><td>● ● ●</td></tr><tr><td>Sun</td><td>☀ ☀ ☀</td></tr><tr><td>Cloud</td><td>☁ ☁ ☁</td></tr></tbody></table> a) How many cards show each picture, and how many cards are there in all? b) Which picture appears most often? c) How many more star cards are there than cards of each other picture?

In a picture graph, one lantern symbol represents \(4\) lanterns. A row shows \(2\) full symbols and \(1\) half symbol. Omar says the row represents \(8\frac{1}{2}\) lanterns because a half symbol always means one-half of one item. Explain the error and find the row's value.

A picture graph must represent the data values \(9\), \(15\), and \(21\) using only full symbols. The possible keys are one symbol represents \(3\) or one symbol represents \(6\). Which key works, and how many symbols are needed for the three rows?

In a picture graph, one full symbol represents \(4\) items, and a half symbol represents \(2\) items. a) What data value is represented by \(3\) full symbols and \(1\) half symbol? b) How many full and half symbols are needed to represent \(22\) items?

A picture graph has rows of \(5\), \(7\), and \(9\) symbols with the key “one symbol represents \(2\) postcards.” The graph will be redrawn with the key “one symbol represents \(4\) postcards,” and half symbols may be used. How many full and half symbols should each new row contain so the data stay the same?

A picture graph will use one symbol to represent \(4\) craft supplies. The rows should be arranged from the fewest symbols to the most symbols. <table><thead><tr><th>Supply</th><th>Number</th></tr></thead><tbody><tr><td>Clay blocks</td><td>\(20\)</td></tr><tr><td>Ink pads</td><td>\(8\)</td></tr><tr><td>Paper sheets</td><td>\(16\)</td></tr><tr><td>Thread spools</td><td>\(12\)</td></tr></tbody></table> In what order should the rows appear, and how many symbols should each row contain?

The key is missing from a picture graph. A row with \(4\) symbols is known to represent \(28\) items. a) What does one symbol represent? b) How many items would \(6\) symbols represent?

A picture graph uses one full symbol to represent \(2\) items and a half symbol to represent \(1\) item. The three data values are \(5\), \(8\), and \(11\). a) How many full and half symbols are needed for each row? b) How many half symbols are used in the whole graph?

In a picture graph, one full symbol represents \(8\) items. Row A has \(3\) full symbols and \(1\) half symbol. Row B has \(2\) full symbols and \(1\) half symbol. How many items does each row represent, and how many more items are in Row A?

A picture graph uses one symbol to represent \(9\) items. Three categories have \(18\), \(27\), and \(45\) items. a) How many symbols belong in each row? b) How many more symbols does the largest row have than the smallest row? c) How many more items does the largest category have than the smallest category?

A picture graph must represent data values of \(16\), \(24\), and \(40\). Compare these two keys: one symbol represents \(4\), and one symbol represents \(8\). Both keys use only full symbols. Which key uses fewer symbols altogether, and how many symbols does it save?

A picture graph uses one full symbol to represent \(10\) items. Row A shows \(3\) full symbols and \(1\) half symbol. Row B must represent \(10\) more items than Row A, but the designer says Row B may use only full symbols. Is that possible without changing the key? Explain what must change.

A picture graph uses one full symbol to represent \(4\) items and a half symbol to represent \(2\) items. A row is shown with \(1\) full symbol and \(3\) half symbols. a) How many items does the row represent? b) Rewrite the row using the fewest symbol pieces.

A display board has room for at most \(12\) picture-graph symbols altogether. The data values are \(8\), \(12\), and \(20\). Compare the keys “one symbol represents \(4\) items” and “one symbol represents \(2\) items.” Which graph fits the board?

A picture graph uses one full symbol to represent \(8\) items. Row A shows \(3\) full symbols. Row B shows \(2\) full symbols and \(2\) half symbols. Which row represents more items, or do they represent the same amount? Explain why counting the number of symbol pieces gives the wrong comparison.

A scaled picture graph uses the key: one visitor symbol represents \(10\) visitors. Monday has \(3\) full symbols and \(1\) half symbol. Tuesday has \(2\) full symbols. How many more visitors would Tuesday need so its row represents the same number as Monday's row?

A picture graph uses one key for every row. Row A has \(4\) full bird symbols and is labeled \(24\) sightings. Row B also has \(4\) full symbols but is labeled \(30\) sightings. Can both rows be correct? Explain, and correct Row B while keeping Row A unchanged.

A scaled picture graph uses the key “one ballot symbol represents \(5\) votes.” A row has \(6\) full symbols. After \(10\) votes are disqualified, Leah claims that \(10\) symbols should be removed. Explain Leah's unit error and give the correct number of symbols for the row.

The key on a picture graph is smudged. It says that one full symbol represents either \(4\) items or \(6\) items. Row A has \(4\) full symbols and is labeled \(24\) items. Row B has \(2\) full symbols and \(1\) half symbol and is labeled \(15\) items. Which key is correct? Show that it works for both rows.

A scaled picture graph uses the key: one ribbon symbol represents \(8\) ribbons. The green row has \(3\) full symbols and \(1\) half symbol. The blue row represents \(12\) more ribbons than the green row. How many full symbols should the blue row have?

A scaled picture graph uses the key: one kite symbol represents \(6\) kites. The first row has \(2\) full symbols and \(1\) half symbol. The second row has \(4\) full symbols, and the third row has \(3\) full symbols. How many kites are represented altogether?

A scaled picture graph uses the key: one flag symbol represents \(4\) flags. The shorter row has \(3\) full symbols, and the longer row has \(6\) full symbols. a) How many flags does each row represent? b) How many more flags does the longer row represent?

A scaled picture graph uses the key: one canoe symbol represents \(10\) canoes. One row has \(4\) full symbols and \(1\) half symbol. Another row has \(2\) full symbols and \(1\) half symbol. If the categories are combined, how many full symbols should the combined row have?

A scaled picture graph uses the key: one leaf symbol represents \(8\) leaves. A row has \(5\) full symbols. The data for that category are reduced to exactly half of the original amount. How many full and half symbols should the new row show?

A scaled picture graph uses the key: one badge symbol represents \(4\) badges. The three rows show \(2\) full symbols and \(1\) half symbol, \(3\) full symbols and \(1\) half symbol, and \(4\) full symbols and \(1\) half symbol. How many full symbols and half symbols appear altogether, and how many badges do all three rows represent?

An incomplete picture graph represents \(40\) bicycles altogether. <table><tr><th>Color</th><th>Picture graph</th></tr><tr><td>Red</td><td>★ ★ ★</td></tr><tr><td>Blue</td><td>★ ★ ★ ★</td></tr><tr><td>Green</td><td>\(\square\)</td></tr></table> Key: ★ = \(4\) bicycles How many green bicycles are there, and how many ★ symbols should complete the row?

A picture graph key says one full symbol represents \(4\) items. A row contains \(3\) full symbols but is labeled \(10\) items. Explain why the row and label do not match. Give two possible corrections.

A scaled picture graph uses the key: one drum symbol represents \(4\) drums. All rows together contain the equivalent of \(15\) full symbols. One row containing \(3\) full symbols and \(1\) half symbol is removed. How many drums are represented by the remaining rows?

A picture graph must represent \(28\) postcards. Give two correct row designs: one using the key “one symbol represents \(8\) postcards” with half symbols allowed, and one using a different key so the row uses only full symbols.

A scaled picture graph uses the key: one marble symbol represents \(8\) marbles. Row A has \(4\) full symbols, and Row B has \(3\) full symbols and \(1\) half symbol. Four marbles are moved from category A to category B. What should the two rows show after the move?