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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

Â  Â  Â i) mean

Â  Â  Â ii) variance

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

Â  Â  Â  Â i. CHADEMA or CUF but not CCM

Â  Â  Â  Â ii. CCM and CHADEMA but not CUF

Â  Â  Â  iii. CUF altogether

Â  Â  Â  iv. Just one party

Â  Â  Â  v. At most two partiesÂ

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QUESTION 3

b) Â (i) Test the validity of the following argument by using the properties of logic:Â “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”Â

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QUESTION 4

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QUESTION 5

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