Combine regions of a normal curve with the 68–95–99.7 rule
11th grade (Year 12 in England) · 16 questions · Common Core: HSS.ID.A.4 · England: A-level Statistics
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Question 1
A quantity is normally distributed with mean 52 and standard deviation 7. What percentage of values lie between 45 and 52?
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Question 2
A factory fills 2000 bottles. Volumes are normally distributed with mean 330 ml and standard deviation 19 ml. About how many bottles hold less than 311 ml?
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Question 3
A quantity is normally distributed with mean 47 and standard deviation 4. What percentage of values lie between 47 and 55?
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Question 4
A factory fills 400 bottles. Volumes are normally distributed with mean 424 ml and standard deviation 27 ml. About how many bottles hold more than 451 ml?
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Question 5
A quantity is normally distributed with mean 75 and standard deviation 2. What percentage of values lie between 77 and 79?
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Question 6
A factory fills 600 bottles. Volumes are normally distributed with mean 307 ml and standard deviation 40 ml. About how many bottles hold less than 227 ml?
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Question 7
A quantity is normally distributed with mean 68 and standard deviation 5. What percentage of values lie between 73 and 78?
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Question 8
A factory fills 400 bottles. Volumes are normally distributed with mean 384 ml and standard deviation 26 ml. About how many bottles hold less than 332 ml?
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Question 9
A quantity is normally distributed with mean 71 and standard deviation 6. What percentage of values lie between 71 and 83?
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Question 10
A factory fills 2000 bottles. Volumes are normally distributed with mean 294 ml and standard deviation 30 ml. About how many bottles hold more than 354 ml?
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Question 11
A quantity is normally distributed with mean 31 and standard deviation 9. What percentage of values lie between 40 and 49?
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Question 12
A factory fills 800 bottles. Volumes are normally distributed with mean 395 ml and standard deviation 12 ml. About how many bottles hold more than 419 ml?
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Question 13
A quantity is normally distributed with mean 64 and standard deviation 2. What percentage of values lie between 58 and 66?
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Question 14
A factory fills 200 bottles. Volumes are normally distributed with mean 150 ml and standard deviation 45 ml. About how many bottles hold less than 60 ml?
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Question 15
A quantity is normally distributed with mean 42 and standard deviation 8. What percentage of values lie between 50 and 58?
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Question 16
A factory fills 2000 bottles. Volumes are normally distributed with mean 456 ml and standard deviation 17 ml. About how many bottles hold less than 422 ml?
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