9th grade statistics and probability
9th grade (Year 10 in England) · 16 questions · Common Core: HSS.ID.A.2, HSS.CP.A.2, HSS.CP.B.7, HSS.ID.B.5 · England: GCSE Foundation Statistics, GCSE Higher Statistics, GCSE Foundation Probability
Name
Date
Score/ 16
Question 1
Shoe-shop sales by size: size 4: 2, size 5: 4, size 6: 9, size 7: 6, size 8: 8. What is the modal shoe size?
Answer
Question 2
How students travel to school: Year 9: cycle 23, walk 24 Year 10: cycle 6, walk 31 What proportion of all students are "Year 10 and cycles"? Give a decimal to 2 decimal places.
Answer
Question 3
A bag has 4 red and 3 blue counters. Two are taken without replacement. What is the probability both are red? Give a fraction in simplest form.
Answer(as a fraction)
Question 4
In a class of 19, 8 play guitar, 7 play piano and 3 play both. One student is chosen at random. What is the probability they play guitar or piano (or both)? Simplest form.
Answer(as a fraction)
Question 5
Venn diagram of 33 people: apples only 10, bananas only 10, both 4, neither 9. A person is chosen at random. Find the probability they like both apples and bananas. Give a fraction in its simplest form.
Answer(as a fraction)
Question 6
Survey of streaming habits: Under 16: watch daily 10, not daily 24 16 and over: watch daily 11, not daily 6 What percentage of the 16-and-overs watch daily? Round to the nearest whole percent.
Answer
Question 7
The table shows the number of pets per household: 0 pets: 6, 1 pets: 2, 2 pets: 8, 3 pets: 5, 4 pets: 5. Find the mean number of pets. Round to 2 decimal places.
Answer
Question 8
In a club of 29 students, 14 play chess, 17 play the guitar and 6 do neither. How many do both?
Answer
Question 9
Shoe-shop sales by size: size 4: 2, size 5: 4, size 6: 6, size 7: 5, size 8: 1. What is the modal shoe size?
Answer
Question 10
How students travel to school: Year 9: cycle 35, walk 10 Year 10: cycle 14, walk 30 What proportion of all students are "Year 10 and walks"? Give a decimal to 2 decimal places.
Answer
Question 11
A bag has 5 red and 4 blue counters. Two are taken with replacement. What is the probability both are red? Give a fraction in simplest form.
Answer(as a fraction)
Question 12
In a class of 29, 8 play guitar, 17 play piano and 2 play both. One student is chosen at random. What is the probability they play both? Simplest form.
Answer(as a fraction)
Question 13
Venn diagram of 54 people: apples only 20, bananas only 19, both 14, neither 1. A person is chosen at random. Find the probability they like apples but not bananas. Give a fraction in its simplest form.
Answer(as a fraction)
Question 14
Survey of streaming habits: Under 16: watch daily 35, not daily 39 16 and over: watch daily 8, not daily 35 What percentage of the under-16s watch daily? Round to the nearest whole percent.
Answer
Question 15
The table shows the number of pets per household: 0 pets: 3, 1 pets: 3, 2 pets: 3, 3 pets: 6, 4 pets: 7. Find the mean number of pets. Round to 2 decimal places.
Answer
Question 16
In a club of 47 students, 30 play chess, 28 play the guitar and 3 do neither. How many do both?
Answer
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