Practise IB Mathematics AA SL 4.1 by summarising data, modelling probability, using distributions and interpreting statistical evidence.
A supermarket analyses the shopping habits of its customers.
The number of times, X, each customer visits the supermarket in a week is given by the following probability distribution.
Find the value of a.
Write down the mode of X.
Find the mean of X.
The manager wants to know why customers come to their supermarket. They survey the first 50 customers to arrive at the supermarket on a particular day.
Identify which one of the following best describes the manager's sampling method. Circle your answer.
Simple random / Systematic / Convenience / Quota / Stratified
The following cumulative frequency graph shows the monthly income, I dollars, of 2000 families.
Find the median monthly income.
Write down the number of families who have a monthly income of 2000 dollars or less.
Find the number of families who have a monthly income of more than 4000 dollars.
The 2000 families live in two different types of housing. The following table gives information about the number of families living in each type of housing and their monthly income I.
Find the value of p.
A family is chosen at random.
Find the probability that this family lives in an apartment.
Find the probability that this family lives in an apartment, given that its monthly income is greater than 4000 dollars.
Estimate the mean monthly income for families living in a villa.