Grade 4 Practice Problems: Data, Statistics & Probability
Examples from Standards Revision and GLEs
4D-15) Answer: 20/120 or any fraction equal to 1/6
If Anna rolled one die 120 times, what fraction of the time should it come up a five? Write to help explain your best thinking using words, numbers, or pictures.
4D-14) Answer: 249 pages
Lane read 5 books during his spring break. In order, he read books that were the following lengths: 125 pages, 278 pages, 97 pages, 114 pages, and 346 pages. What was the range of pages that he read? Write to help explain your best thinking using words, numbers, or pictures.
4D-13) Answer: 356 milliliters
Bonnie went to the grocery store to buy some soda pop. She noticed that different brand’s cans contained varying amounts of pop. GatorDew cans contained 355 milliliters, SweetCola came in 360 milliliter cans, OkraCola was sold in 352 ml cans, and SugarUp came in 357 ml cans. What was the average size the four cans? Write to help explain your best thinking using words, numbers, or pictures.
4D-12) Answer: 32° F
Hans checked the temperature in his apple orchard at 10:00 P.M. His thermometer read 37°F. Hans kept checking his thermometer every hour for the next 8 hours and got these readings: 37°, 35°, 33°, 32°, 30°, 30°, 29°, 30°. What was the median temperature during this 8 hour period? Write to help explain your best thinking using words, numbers, or pictures.
4D-11) Answer: 34,33,37,39,43,44,47,49,73,74,77,79,93,94,97,99
List all of the two digit numbers that can be made using the numbers 3,4,7,and 9. Write to help explain your best thinking using words, numbers, or pictures.
4D-10) Answer: R-G, R-W, R-B, Y-G, Y-W, Y-B
Julia is dressing her new Barbie doll. She has 2 blouses, a red and a yellow. She has 3 skirts, a green one, a white one, and a blue one. She can dress Barbie in 6 ways. List the ways on your paper. Write to help explain your best thinking using words, numbers, or pictures.
4D-9) Answer: 24
Betty was dealing out the cards for Ned. After she dealt out 4 cards, she told Ned to turn them over. "Now," she said, "how many different four digit numbers can you arrange your cards in?" Ned had these four cards: 3, 5, 7, and 9. How many ways are there? Write to help explain your best thinking using words, numbers, or pictures.
4D-8) Answer: 192
We are going to the ball game. There are 12 different gates from the outside. Then there are 16 different stairways into the stadium. How many different ways can we go into the stadium? Write to help explain your best thinking using words, numbers, or pictures.
4D-7) Answer: 27
Josh is going to the beach. He is looking for a towel, a T-shirt, and something to play with. He finds three T-shirts: red, green, and blue. He finds three towels: striped, plaid, and dotted. He finds three things he can play with at the beach: a frisbee, a kite, and a ball. He picks out one towel, one T-shirt, and one thing to play with. What are all the different combinations of things he could choose? Write to help explain your best thinking using words, numbers, or pictures.
4D-6) Answer: 12
I need 45 cents worth of stamps to send a letter to my pen pal. I looked at the stamps my mother has, and they are all 15-cent, 10-cent, and 5-cent stamps. How many different combinations of stamps can I put on my letter? Write to help explain your best thinking using words, numbers, or pictures.
4D-5) Answer: 16 paths
Jenny and Joan are going to swim in the pool at the city park center. They can get into the building through four doors. Two of the doors open into the front locker room. The other two doors open into the back locker room. There are two different stairways from each locker room to the swimming pool. How many different paths can Jenny and Joan take from outside the city park center to the pool? Write to help explain your best thinking using words, numbers, or pictures.
4D-4) Answer: 16
Manuel and Grace can hear their friends' voices at the entrance to the cave. Manuel and Grace are exploring a small room at the back of the cave. There are four tunnels leading from the small room to the large room where water is dripping down the walls. In the large room there are four different stairways that Manuel and Grace can climb to join their friends at the entrance to the cave. How many different paths can Manuel and Grace take to get from the small room to their friends at the entrance? Write to help explain your best thinking using words, numbers, or pictures.
4D-3) Answer: (1st-2nd) 9-7; 9-5; 9-3; 7-5; 7-3; 7-9; 5-3; 5-9; 5-7; 3-9; 3-7; 3-5
There are four fire trucks in Fast Fire Station: truck number 9, truck number 7, truck number 5, and truck number 3. When the station gets a fire call, two trucks leave the station. One of the trucks goes out first, the other one goes out second. For example, number 9 goes out first and number 7 goes out second; or number 7 goes out first and number 9 goes out second. What are all the different ways in which the four numbered trucks could come out of the station? Write to help explain your best thinking using words, numbers, or pictures.
4D-2) Answer: 17 combinations
How many different combinations of coins total exactly 31 cents? Write to help explain your best thinking using words, numbers, or pictures.
4D-1) Answer: 9 combinations
If you have 3 hats and 3 jackets, how many different combinations of a hat and a jacket can you wear? Write to help explain your best thinking using words, numbers, or pictures.
Given a set of data or a line plot, describe the distribution of the data using median, mode, and range. Describe the chance of an event occurring as being certain, impossible, likely, or unlikely, and compare two events as equally likely or not equally likely. Probabilities that represent likely events are close to 1, while probabilities that represent unlikely events are close to 0. Determine a simple probability from a context that includes a picture. Students might be asked to determine the probability of drawing a white marble using a picture that shows a box filled with clearly visible marbles. Display the results of probability experiments in a clear and organized way, and interpret the results. Displays may include tallies, frequency tables, graphs, pictures, or fractions. |
Examples of Probability and Statistics from the 2006 GLEs – Grade 4
Predict the likelihood of events and use the vocabulary of probability. Explain why some outcomes are equally likely or more or less likely to happen than others. Explain why events are certain or uncertain. Place events in order based on their likelihood of occurrence. Identify and describe possible and impossible events. Determine and explain which events are more likely, less likely, or equally likely to happen, given an area model. Construct a spinner game or situation to produce a given outcome. Develop appropriate questions and identify populations to obtain information about a topic. Determine which of several questions is most likely to give the needed information. Select data collection methods, including conducting a survey, using observations, or measuring. Make and explain a plan to collect, record, and organize data. Explain what the median represents and how to find it for a set of data. Determine the mode and median for a set of data. Explain whether the mode or median better describes a set of data. Determine data points that would result in a given median. Use pictures to illustrate median. Complete a set of data based on a given mode or median and a partial set of data. Read and interpret data from line plots. Describe a trend from a given line plot. Summarize text and data in a given table, chart, line plot, pictograph, or bar graph. Describe the completeness and accuracy of data in a graph, given a set of data. Explain whether the components of a graph are appropriate. Explain whether a line plot, pictograph, table, chart, or bar graph is more appropriate for a given situation or to answer a question most effectively. Read and interpret data from a pictograph where the scale is more than one unit. |