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Exam:
40 quizzes
The chance of a snowy day is 0.15. If each day's weather did not depend on the day before, what would be the chance of two snowy days in a row? New
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
AP, IB
StemPy LabStemPy Lab
Hard
In the hill town, the 3 snowy days had a mean highest temperature of 8.7 °C, and the other 17 days 12.5 °C. What may a report say? New
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
AP, IB
StemPy LabStemPy Lab
Medium
Kiran flips a coin four times for a game. If the coin is fair, how likely is she to see tails at least once? New
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and Chance
AP, IB
StemPy LabStemPy Lab
Hard
A drawer has 3 black and 5 white socks. Two socks are taken without looking, and the first is not put back. What is the probability that both are black? New
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and Chance
AP, IB
StemPy LabStemPy Lab
Hard
The box plot shows the times that a group of students took to finish a puzzle. What is the interquartile range? New
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of Data
AP, IB
StemPy LabStemPy Lab
Medium
The values 2, 5, 8, 11 and 14 have a mean of 8. What is their variance? New
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of Data
AP, IB
StemPy LabStemPy Lab
Hard
The lengths of some ribbons have a standard deviation of 6 cm. A shop adds 4 cm to every ribbon. What is the new standard deviation? New
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of Data
AP, IB
StemPy LabStemPy Lab
Medium
The masses of some bags of rice have a standard deviation of 2.5 kg. A shop sells them in pairs, so every mass is doubled. What is the standard deviation of the pairs? New
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of Data
AP, IB
StemPy LabStemPy Lab
Hard
Every value in a list is multiplied by 3. The median of the list was 7. What is the new median? New
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
AP, IB
StemPy LabStemPy Lab
Medium
A juice company checks the sugar in 50 bottles taken from a batch of 10,000 bottles. In this study, what is the population? New
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Data and Sampling
AP, IB
StemPy LabStemPy Lab
Medium
A month has a few days of an unusual heat wave, and most days are close to 25 °C. Which pair describes a typical day best?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
AP, IB
StemPy LabStemPy Lab
Medium
In a weather record, the cloudy days were cooler on average than the sunny days. A student writes: \"Clouds make the days cooler.\" What is the best comment?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
AP, IB
StemPy LabStemPy Lab
Medium
The chance of a dry day in a month was 0.6. If the days were separate, two dry days in a row would have a chance of 0.36. In fact, 14 of the 29 pairs of days in a row were both dry, a share of 0.48. What does this suggest?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
AP, IB
StemPy LabStemPy Lab
Hard
Asif tosses a coin 10 times and gets 7 heads. Bina tosses the same coin 2000 times and gets 1012 heads. Whose estimate of the chance of heads should you trust more?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and Chance
AP, IB
StemPy LabStemPy Lab
Medium
A die has shown no six in its last 10 rolls. Raj says that a six is now more likely than 1/6 on the next roll. What is his mistake?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and Chance
AP, IB
StemPy LabStemPy Lab
Medium
A fair coin has landed tails 4 times in a row. What is the probability of tails on the next toss?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and Chance
AP, IB
StemPy LabStemPy Lab
Medium
In a raffle, 4 of the 10 tickets in a hat win a prize. Raju draws two tickets, one after the other, and keeps the first. What is the chance that both of his tickets win?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and Chance
AP, IB
StemPy LabStemPy Lab
Hard
Which result gives the best estimate of the chance that a paper cup lands upside down?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and Chance
AP, IB
StemPy LabStemPy Lab
Medium
A report says that the interquartile range of the heights of a class is 12 cm. What does this tell you?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of Data
AP, IB
StemPy LabStemPy Lab
Medium
The distances of five values from their mean are -3, -1, 0, 1 and 3. Why can their plain mean not measure the spread?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of Data
AP, IB
StemPy LabStemPy Lab
Medium
Six parcels each have a mass of 2.5 kg. What is the standard deviation of their masses?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of Data
AP, IB
StemPy LabStemPy Lab
Easy
Karan says that the marks 61, 62, 63, 64 and 98 are very spread out, because their range is 37. What is misleading about this?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of Data
AP, IB
StemPy LabStemPy Lab
Medium
What is the interquartile range of 3, 7, 8, 12, 15, 18, 21, 24, 29?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of Data
AP, IB
StemPy LabStemPy Lab
Medium
A list of house prices in a street gains one mansion worth ten times the others. Which measure of spread changes the least?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of Data
AP, IB
StemPy LabStemPy Lab
Easy
Two batsmen have the same mean score. Batsman P's scores have a standard deviation of 3 runs, and batsman Q's 25 runs. Which statement is true?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of Data
AP, IB
StemPy LabStemPy Lab
Easy
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