Grade 5 Practice Problems: Data, Statistics & Probability
Examples from Standards Revision and GLEs
5D-10) Answer: 12/15 or 4/5
A bag contains 3 purple, 4 green, 4 blue, and 4 white marbles. What is the probability of taking a marble that is not purple out of the bag? Write to help explain your best thinking using words, numbers, or pictures.
5D-9) Answer: score of 154
In three bowling games, Alice scores 139, 143, and 144. What score will Alice need in a fourth game in order to have an average score of 145 for all four games? Write to help explain your best thinking using words, numbers, or pictures.
5D-8) Answer: 192 different ways
Tanya and Jane were going to a musical show at the county fair. First they could go through 8 different gates to get into the fair. Once inside there were 6 ticket booths. Past the ticket booths were 4 different paths to the musical show. How many different ways could Tanya and Jane get from outside the fair to the musical show? Write to help explain your best thinking using words, numbers, or pictures.
5D-7) Answer: 15 different ways
When Merilee goes to the building where her mother works, she can go through 3 different doors into the lobby. Then she can go to the 7th floor by taking 3 different elevators or 2 different stairways. How many different ways can Merilee get from outside the building to her mother's office on the 7th floor? Write to help explain your best thinking using words, numbers, or pictures.
5D-6) Answer: 16 different 2-digit numbers
Joe is typing up a list of 2-digit numbers, but he has a problem. He is using a very old typewriter and a lot of the keys are stuck. The only numerals that will type are 1, 4, 6, and 8. How many different 2-digit numbers could he make with these numerals? Write to help explain your best thinking using words, numbers, or pictures.
5D-5) Answer: B-W-Y-P-R; R-Y-B-W-P; W-R-P-Y-B; P-B-W-R-Y; Y-P-R-B-W
Mary, Anna, Sonia, Rita, and Paula were at summer camp. One day they decided to exchange T-shirts for the next 5 days. Together they had a brown, a white, a yellow, a pink, and a red T-shirt. They decided that no girl could wear a T-shirt more than one day, so they would have to exchange shirts each day. How could they arrange the shirts for the next 5 days? Write to help explain your best thinking using words, numbers, or pictures.
5D-4) Answer: 27 different sandwiches
On Saturday Megan liked to go to Sandwich Heaven. Megan could choose the bread, filling, and topping for her sandwich. She could choose between wheat, rye, or white bread. She could have chicken salad, turkey, or ham for the filling. She could also have lettuce, tomato, or sprouts on top. How many different sandwiches could Megan order? Write to help explain your best thinking using words, numbers, or pictures.
5D-3) Answer: 18 different combinations
Rod and Lucas were painting scenery for the school play. They had to decide what color to paint the house, the car, and some flowers. For the house they could choose between blue and green. For the car they could pick silver, black, or brown. For the flowers they could choose red, pink, or yellow. How many different combinations of colors could they choose? Write to help explain your best thinking using words, numbers, or pictures.
5D-2) Answer: 8 different combinations
For dessert you can choose apple, cherry, blueberry, or peach pie to eat, and milk or juice to drink. How many different combinations can you choose from? Write to help explain your best thinking using words, numbers, or pictures.
5D-1) Answer: 24 outfits
Meg has a choice of 3 blouses, 4 skirts, and 2 pairs of shoes as she plans her outfit for a school dance. How many different outfits are possible? Write to help explain your best thinking using words, numbers, or pictures.
Find and interpret the whole-number mean of a small-sized data set of whole numbers. Problems are selected so that the mean will be a whole number. Example:
Construct and analyze line graphs. Line graphs are used to display change in data over time. |
Examples of Probability and Statistics from the 2006 GLEs – Grade 5
Predict and test how likely it is that a certain outcome will occur. Given a fair game, create an advantage for one of the players. Explain whether a game for two people is fair. Create a spinner, game, or situation that would produce a fair outcome or make it more or less likely for an event to happen. Explain why some outcomes are equally likely or more or less likely to happen than others. Determine whether a real life event has zero probability, 50% probability, or 100% probability of occurring. List and/or count possible outcomes of simple experiments. Use strategies, including pictures, lists, and tree diagrams, to show the possible outcomes of a simple experiment. Write questions needed to obtain data about a specific topic. Explain how different data collection methods, including phone survey, internet search, and person to person survey, affect the data set for a given question. Describe an appropriate sample for a given question. Describe the appropriate sample for a given population. Explain how different samples, populations, or questions can affect the data Explain how to determine the mean of a set of data and explain the significance of the mean. Determine the mean of a given set of data using objects or pictures. Determine and explain whether mean, median, or mode is the most appropriate measure of central tendency in a given situation. Explain why the mean, median, or mode may be greater than or less than the other measures for a given set of data. Determine the mean for two samples from the same population and explain why they may not be the same. Read and interpret data from text and circle graphs in terms of patterns. Explain the completeness and accuracy of data presented in circle graphs. Explain whether line plots, pictographs, tables, charts, bar or circle graphs are more appropriate for a given set of data, particular situation, or purpose, or answers a question most effectively. Summarize data presented in a circle graph or text. Describe trends or patterns in data represented in a line plot or pictograph. |