Statistics: Measures of Central Tendency · Class 11 · CBSE · Commerce Economics
A set of seven observations is 4, 6, 8, 10, 12, 14 and 16. If the largest observation is replaced by 100, which statement is correct?
Practice question from Statistics: Measures of Central Tendency (Class 11 · CBSE · Commerce Economics), with the correct answer and a step-by-step solution.
hard · MCQ · Q-58BEC7
A set of seven observations is 4, 6, 8, 10, 12, 14 and 16. If the largest observation is replaced by 100, which statement is correct?
- A.The mean remains 10.
- B.The median becomes 12.
- C.The median remains 10, while the mean increases.Correct answer
- D.The mode becomes 100.
Solution
After replacement, the ordered observations are 4, 6, 8, 10, 12, 14 and 100, so the median remains 10. The large value increases the arithmetic mean, while there is no mode because no value occurs more than once.
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