GCSE Secondary Maths Age 13-17 - Probability & Statistics: Samples - Explained

Kate is organizing a party for 1200 students and needs to order pizzas. She surveys 60 students to determine their pizza preferences, finding that 20 prefer ham pizza. Using this sample, she calculates that 400 ham pizzas are needed for the entire school. The assumption is that the sample is representative of the whole school, which may not be accurate. The video explains the calculation process and discusses the potential impact of the assumption on the results.

How many students did Kate survey to determine pizza preferences?

• 60

• 50

• 80

• 70

What fraction of the surveyed students preferred ham pizza?

• 1/3

• 1/5

• 1/4

• 1/2

Based on the sample, how many ham pizzas should Kate order for the entire school?

• 450

• 350

• 300

• 400

What assumption did Kate make about the sample of students she surveyed?

• The sample is biased towards salami pizza.

• The sample is representative of the entire school.

• The sample only includes students who like vegetarian pizza.

• The sample is too small to make any conclusions.

Why might the assumption about the sample not be accurate?

• The sample size is too large.

• The sample might not include students from all grades.

• The sample only includes students who dislike pizza.

• The sample is taken from a different school.