by BlastRoom
Computing the standard deviation of a small data set, and reasoning about how it responds to the data.
#probability_and_statistics

40 questions
One question set, multiple game modes. Tap any game to see it in action. Not sure which to pick?
Answer to place stones and capture territory.
Outrun the snow together.
Earn blasts, then hunt the other team.
Answer to earn energy, then climb.

The class blasts through walls together.
Bid on mystery lots. Most money wins.
Sell tours. Nice, standard, or a total scam.
Answer, restock, and serve the rush.
More correct answers pulls the rope your way.
Answer, then shoot down the alien wave.
Answer, then tap to leap the frozen ridge.
A barista counts espresso shots in five consecutive hours: 4, 7, 8, 10, 11. Compute the sample standard deviation , rounded to two decimal places.
A clinic records patient wait times in minutes: 12, 15, 15, 18, 20, 22. Compute the sample standard deviation , rounded to two decimal places.
A greenhouse measures seedling heights in centimeters: 24, 26, 27, 29, 30. Compute the sample standard deviation , rounded to two decimal places.
A recycling club weighs paper collected over six days in kilograms: 8, 10, 13, 14, 15, 18. Compute the sample standard deviation , rounded to two decimal places.
A track coach records five sprint times in seconds: 51, 53, 54, 58, 59. Compute the sample standard deviation , rounded to two decimal places.
A city surveys household water use in liters for six homes: 110, 115, 117, 119, 124, 125. Compute the sample standard deviation , rounded to two decimal places.
A soccer team records goals scored in five matches: 0, 1, 2, 2, 5. Compute the sample standard deviation , rounded to two decimal places.
A weather station records rainfall in millimeters over six days: 3, 4, 6, 7, 10, 12. Compute the sample standard deviation , rounded to two decimal places.
A teacher records six quiz scores in points: 6, 7, 7, 9, 11, 14. Compute the sample standard deviation , rounded to two decimal places.
A shipping clerk weighs five parcels in grams: 480, 490, 500, 510, 520. Compute the sample standard deviation , rounded to two decimal places.
A transit office records bus arrival delays in minutes: 1, 2, 2, 4, 6, 6, 7. Compute the sample standard deviation , rounded to two decimal places.
A biologist measures six fish lengths in centimeters: 18, 20, 21, 22, 25, 26. Compute the sample standard deviation , rounded to two decimal places.
A quality inspector reports that cereal box fill weights in a sample have variance grams squared. What is the sample standard deviation, to one decimal place?
A clinic reports that a sample of body temperature errors has standard deviation °C. What is the sample variance, to two decimal places?
An orchard sample has apple mass variance grams squared. What is the sample standard deviation, to one decimal place?
A science fair team finds that model-car jump lengths have sample standard deviation cm. What is the sample variance, to two decimal places?
A factory reports that bolt length errors in a sample have variance millimeters squared. What is the sample standard deviation?
A lifeguard records swim time standard deviation seconds for a sample of swimmers. What is the sample variance, to two decimal places?
A school nurse reports that backpack masses in a sample have variance kilograms squared. What is the sample standard deviation?
A delivery company finds standard deviation km for a sample of route distances. What is the sample variance, to one decimal place?
Two soccer teams record shots on goal in five games. Falcons: 6, 7, 8, 9, 10. Tigers: 2, 5, 8, 11, 14. Both means are 8 shots. Which team has the larger sample standard deviation?
Two plant trays have seedling heights in centimeters. Tray A: 10, 10, 12, 14, 14. Tray B: 8, 11, 12, 13, 16. Both means are 12 cm. Which tray has the larger sample standard deviation?
Two bus routes record morning rider counts. Route A: 26, 28, 30, 30, 32, 34. Route B: 20, 25, 30, 30, 35, 40. Both means are 30 riders. Which route varies more?
Two swimmers record lap times in seconds. Swimmer A: 36, 38, 40, 42, 44. Swimmer B: 32, 39, 40, 41, 48. Both means are 40 seconds. Which swimmer has the larger sample standard deviation?
Two robots travel distances in centimeters. Robot A: 20, 25, 30, 35, 40. Robot B: 27, 29, 30, 31, 33. Both means are 30 cm. Which robot has the larger sample standard deviation?
A farm compares egg masses in grams. Carton A: 52, 56, 60, 64, 68. Carton B: 58, 59, 60, 61, 62. Both means are 60 grams. Which carton has the larger sample standard deviation?
Two quiz sections have scores in points. Section A: 70, 75, 80, 85, 90. Section B: 78, 79, 80, 81, 82. Both means are 80 points. Which section has the larger sample standard deviation?
Two printers count labels per minute. Printer A: 16, 19, 19, 21, 21, 24. Printer B: 17, 17, 20, 20, 23, 23. Both means are 20 labels. Which printer has the larger sample standard deviation?
Two elevators record passenger masses in kilograms. Elevator A: 45, 48, 48, 52, 52, 55. Elevator B: 46, 46, 49, 51, 54, 54. Both means are 50 kg. Which elevator has the larger sample standard deviation?
Two delivery vans record fuel use in liters. Van A: 6, 9, 12, 15, 18. Van B: 10, 11, 12, 13, 14. Both means are 12 liters. Which van has the larger sample standard deviation?
Every student in a class has 5 points added to an exam score. The original scores have mean 74 points and standard deviation points. What is the standard deviation of the adjusted scores?
A lab doubles every measured plant height from a half-scale drawing to actual size. The original mean is 18 cm and cm. What is the new standard deviation after multiplying each height by 2?
A teacher subtracts 3 points from every project score. The original project scores have mean 86 points and standard deviation points. What is the new standard deviation?
A coach records race times in minutes, then converts each time to seconds by multiplying by 60. The original mean is 4.5 minutes and minute. What is the new standard deviation?
A cafeteria adds 0.5 liter of water to every soup pot. The original pot volumes have mean 8.0 liters and standard deviation liters. What is the new standard deviation?
A survey records rope lengths in centimeters, then converts every length to meters by multiplying by 0.01. The original mean is 250 cm and cm. What is in meters?
A packaging model triples every package mass. The original package masses have mean 12 kg and standard deviation kg. What is the standard deviation after each mass is multiplied by 3?
A thermometer correction adds 1.5 °C to every incubator temperature. The original temperatures have mean 22 °C and standard deviation °C. What is the new standard deviation?
A map scale changes every trail distance by multiplying by 0.5. The original trail distances have mean 10 km and standard deviation km. What is the new standard deviation?
A grading system converts every lab score to points. The original lab scores have mean 7.0 points and standard deviation points. What is the new standard deviation?
Crack the passcode before the zombies get in.
Answer, then swat bugs for bonus points.
Race through questions at your own speed.
Same question on every screen. Fastest wins.

Pick a tile, answer, hit bonuses and steals.
Percentiles and Quartiles
40 questions