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Math
Middle School Math

 

Name _____________________________
Date ___________________
Statistics
Complete.

1.   Sierra rode her bike around the hike and bike trail for half an hour and averaged 18 miles per hour. Ashley rode her bike around the trail and traveled 12 miles in 32 minutes. What was the difference in their average speeds? Round your answer to the nearest tenth.

2.   Four trains per day leave from Bigtown to go to Smallville. Some go nonstop while others occasionally stop to pick up and drop off passengers along the way. The A train takes 2.1 hours to make the trip. The B train takes 2.1 hours. The C train takes 1.6 hours and the D train takes 2.8 hours. What is the average speed of all the trains combined? The distance from Smallville to Bigtown is 132 miles. Round your answer to the nearest tenth.

3.   You and your classmates build little rubber band powered vehicles designed to pull a small box of 200 grams across the carpeted floor of your classrooms. On the final demonstration day, each car is wound up (30 revolutions) and allowed to pull the load. The distance pulled is measured. Here are the results, in order (in cm), for the 13 people that were there that day {3, 14, 54, 7, 48, 46, 42, 10, 12, 15, 40, 52, 41}. Calculate (a) the mode, (b) the median, (c) the mean, and (d) the range of the distance data. Round all answers, except medium, to the nearest integer.

4.   Benjamin measured the circumference of his front bicycle tire to be about 1.1 m. If the tire made 715 revolutions during a 9 minute trip, what was his average speed in m/s? Round your answer to the nearest hundredth.

5.   Isaac built a compound machine designed to lift a 1-kilogram load. He tested the machine several times using a can of sand as the load and a can of sand for the input force. He added sand to the input can until the machine lifted the load. After running the machine three times he calculates an average efficiency of 72%. If two of his calculations were 67% and 75%, what was his third calculation?

6.   Alyssa is a good pitcher for the Littleville softball team. During a recent practice she measured her pitch velocity using a radar gun. She pitched 10 balls a distance of 40 feet. The speeds measured were 46, 41, 37, 35, 44, 45, 38, 39, 47, and 48 miles per hour, respectively. What was the average time it took the balls to travel the 40 feet? Round your answer to the nearest hundredth of a second.


 


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Math
Middle School Math