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
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 2
The table shows the number of pets per household: 0 pets: 2, 1 pets: 6, 2 pets: 3, 3 pets: 6, 4 pets: 2. Find the mean number of pets. Round to 2 decimal places.
Answer
Question 3
Venn diagram of 33 people: apples only 8, bananas only 20, both 4, neither 1. 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 4
How students travel to school: Year 9: cycle 34, walk 37 Year 10: cycle 22, walk 15 What proportion of all students are "Year 10 and cycles"? Give a decimal to 2 decimal places.
Answer
Question 5
Survey of streaming habits: Under 16: watch daily 26, not daily 13 16 and over: watch daily 10, not daily 13 What percentage of the under-16s watch daily? Round to the nearest whole percent.
Answer
Question 6
In a club of 57 students, 25 play chess, 29 play the guitar and 12 do neither. How many do both?
Answer
Question 7
Shoe-shop sales by size: size 4: 7, size 5: 5, size 6: 8, size 7: 7, size 8: 2. What is the modal shoe size?
Answer
Question 8
In a class of 33, 20 play guitar, 22 play piano and 10 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 9
A bag has 6 red and 6 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 10
The table shows the number of pets per household: 0 pets: 3, 1 pets: 9, 2 pets: 4, 3 pets: 2, 4 pets: 5. Find the mean number of pets. Round to 2 decimal places.
Answer
Question 11
Venn diagram of 37 people: apples only 17, bananas only 4, both 11, neither 5. A person is chosen at random. Find the probability they like apples or bananas (or both). Give a fraction in its simplest form.
Answer(as a fraction)
Question 12
How students travel to school: Year 9: cycle 27, walk 34 Year 10: cycle 10, walk 24 What proportion of all students are "Year 10 and walks"? Give a decimal to 2 decimal places.
Answer
Question 13
Survey of streaming habits: Under 16: watch daily 20, not daily 38 16 and over: watch daily 7, not daily 22 What percentage of the under-16s watch daily? Round to the nearest whole percent.
Answer
Question 14
In a club of 38 students, 23 play chess, 21 play the guitar and 1 do neither. How many do both?
Answer
Question 15
Shoe-shop sales by size: size 4: 7, size 5: 8, size 6: 2, size 7: 2, size 8: 7. What is the modal shoe size?
Answer
Question 16
In a class of 22, 16 play guitar, 9 play piano and 7 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)
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