Question 1) Find the mean, median, mode, variance and standard deviation for the following data set:

5, 7, 5, 3, 4, 4, 2, 3, 7, 5, 10

Question 2) A survey was taken amongst people about their food preferences the results were:

37 like pizza
33 like ice cream
34 like eclairs
20 like pizza and éclairs
18 like pizza and ice cream
14 like ice cream and eclairs
8 like all 3
15 preferred different choices

a) Draw and fill out a Venn diagram that represents this problem?

b) Based on your Venn diagram, how many people liked exactly 1 of the offered choices?

c) If a person were picked at random, what is the probability that they like at least 2 of the choices offered?