# Advance Mathematics Quiz – 1

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QUESTION 1

a) Use the statistical function of your non-programmable scientific calculator to find correct to two decimal places the

i) mean

###### Tangazo

ii) variance

iii) standard deviation, from the frequency distribution table below:

QUESTION 2

b) Of 100 people who voted in the 2010 elections 5 have voted for all three parties, 10 for CUF and CHADEMA, 15 for CCM and CHADEMA and 7 for CUF and CCM. 10 have voted for CHADEMA only and equal numbers have voted for CCM only and for CUF only. Use a Venn diagram to find how many have voted for:-

i. CHADEMA or CUF but not CCM

ii. CCM and CHADEMA but not CUF

iii. CUF altogether

iv. Just one party

v. At most two parties

QUESTION 3

b)  (i) Test the validity of the following argument by using the properties of logic: “If Tanzania is a democratic country, then all leaders are obtained through fair elections. Leaders are obtained through unfair election in Tanzania. Therefore Tanzania is not a democratic country”

QUESTION 4

QUESTION 5

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