9th grade statistics and probability

Question 1

Shoe-shop sales by size: size 4: 6, size 5: 6, size 6: 5, size 7: 7, size 8: 6. What is the modal shoe size?

Answer 

Question 2

How students travel to school: Year 9: cycle 37, walk 19 Year 10: cycle 16, walk 24 What proportion of all students are "Year 9 and walks"? Give a decimal to 2 decimal places.

Answer 

Question 3

In a class of 28, 7 play guitar, 17 play piano and 3 play both. One student is chosen at random. What is the probability they play both? Simplest form.

Answer (as a fraction)

Question 4

A bag has 3 red and 2 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 5

In a club of 46 students, 27 play chess, 31 play the guitar and 2 do neither. How many do both?

Answer 

Question 6

The table shows the number of pets per household: 0 pets: 8, 1 pets: 2, 2 pets: 3, 3 pets: 3, 4 pets: 6. Find the mean number of pets. Round to 2 decimal places.

Answer 

Question 7

Venn diagram of 38 people: apples only 6, bananas only 13, both 14, neither 5. 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 8

Survey of streaming habits: Under 16: watch daily 33, not daily 28 16 and over: watch daily 39, not daily 15 What percentage of the under-16s watch daily? Round to the nearest whole percent.

Answer 

Question 9

Shoe-shop sales by size: size 4: 3, size 5: 6, size 6: 3, size 7: 4, size 8: 7. What is the modal shoe size?

Answer 

Question 10

How students travel to school: Year 9: cycle 14, walk 37 Year 10: cycle 29, walk 14 What proportion of all students are "Year 10 and cycles"? Give a decimal to 2 decimal places.

Answer 

Question 11

In a class of 25, 14 play guitar, 14 play piano and 9 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 12

A bag has 3 red and 5 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 13

In a club of 38 students, 15 play chess, 23 play the guitar and 12 do neither. How many do both?

Answer 

Question 14

The table shows the number of pets per household: 0 pets: 3, 1 pets: 8, 2 pets: 3, 3 pets: 3, 4 pets: 8. Find the mean number of pets. Round to 2 decimal places.

Answer 

Question 15

Venn diagram of 39 people: apples only 20, bananas only 4, both 6, 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 16

Survey of streaming habits: Under 16: watch daily 34, not daily 8 16 and over: watch daily 40, not daily 40 What percentage of the under-16s watch daily? Round to the nearest whole percent.

Answer