The marks obtained by 10 students in a Statistics test are 24, 47, 18, 32, 19, 15, 21, 35, 50 and 41. What is the variance of the largest five observations?
Answer
The correct answer is D: 46.8. Largest five observations: 50, 47, 41, 35, 32. Mean = 41.
A.14.6
B.21.8
C.25.2
D.46.8✓ Correct
Explanation
Largest five observations: 50, 47, 41, 35, 32. Mean = 41. Squared deviations: (50-41)²=81, (47-41)²=36, (41-41)²=0, (35-41)²=36, (32-41)²=81. Sum = 234. Variance = 234/5 = 46.8.
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