Suppose that Motorola has a sample of 24 delivery times, with sample average del

Question

Suppose that Motorola has a sample of 24 delivery times, with sample average delivery time = 5 weeks and sample median delivery time = 5 weeks. An additional order is sampled with delivery time = 4 weeks. From this you know that: The mean and median must both be less than 5 weeks (neither could equal 5 weeks). The mean must be less than 5 weeks (could not equal 5 weeks) and the median must be less than or equal to 5 weeks. The median must be less than 5 weeks (could not equal 5 weeks) and the mean must be less than or equal to 5 weeks. The mean and median must both be less than or equal to 5 weeks (either could equal 5 weeks) Unable to determine with the information given.

Explanation / Answer

Here adding one more observation in the left will definitely affect mean and the mean will become less than 5 but it is not necessary that it would affect median.

Hence,

The mean must be less than 5 weeks (could not equal 5 weeks) and the median must be less than or equal to 5 weeks.

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