Question 4 • Concepts in Probability and Statistics
Four students found the mean of the data set 26 , 31 , 39 , 30 , 16 , 16 , 18 , 38 Which student found the correct mean?
Answer
A
Daniel’s Work the fraction with numerator 26 plus 31 plus 39 plus 30 plus 16 plus 18 plus 38 and denominator 7 is equal to 198 sevenths is equal to 28 point 2 9
B
Ashrita’s Work the fraction with numerator 26 plus 31 plus 39 plus 30 plus 16 plus 16 plus 18 plus 38 and denominator 8 is equal to 214 eighths is equal to 26 point 7 5
C
Collette’s Work the fraction with numerator 26 plus 38 and denominator 2 is equal to 64 halves is equal to 32
D
Lora’s Work the fraction with numerator 30 plus 16 and denominator 2 is equal to 46 halves is equal to 23
Explanation
To find the mean, add all eight data values and divide by 8. Their sum is 26 + 31 + 39 + 30 + 16 + 16 + 18 + 38 = 214, and 214 ÷ 8 = 26.75. Ashrita’s work gives the correct mean, 26.75.
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