The length of a cylinder is measured 10 times yielding 10 distinct values. For this set of values, consider the following statements
(a)    Five of these values will lie above the mean and five below it
(b)    Five of these values will lie above the median and five below it
(c)    At least one value will lie above the mean
(d)    At least one value will lie at the median
Which of the statements are necessarily correct ?

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