You and a group of friends want to know how many students in your school prefer science. There are $900$ students in your school. Each person randomly surveys $20$ students. The table shows the results. Which subject do students at your school prefer?

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Solution

Step 1: Number of students who prefer science $= 6 + 7 + 8 + 5 + 2 = 28$
Mean of number of students who prefer science $= 6 + 7 + 8 + 5 + 2 \div 5 = 28 \div 5 = 5.6$
Step 2: Variation of the estimate
$= {(6 - 5.6)}^{2} + {(7 - 5.6)}^{2} + {(8 - 5.6)}^{2} + {(5 - 5.6)}^{2} + {(2 - 5.6)}^{2} \div 5 = {(- 0.4)}^{2} + {(1.4)}^{2} + {(2.4)}^{2} + {(0.6)}^{2} + {(- 3.6)}^{} \div 5 = 0.16 + 1.96 + 5.76 + 0.36 + 12.96 \div 5 = 21.2 \div 5 = 4.24$
Final Answer: Number of students who prefer science = $28$
Mean = $5.6$
Variation of the estimate = $4.24$

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You and a group of friends want to know how many students in your school prefer science. There are 900 students in your school. Each person randomly surveys 20 students. The table shows the results. Which subject do students at your school prefer?

You and a group of friends want to know how many students in your school prefer science. There are $900$ students in your school. Each person randomly surveys $20$ students. The table shows the results. Which subject do students at your school prefer?