This is an easy question, if you remember the definition. Let x_1, ..., x_322 be

Question

This is an easy question, if you remember the definition. Let x_1, ..., x_322 be list of numbers, arranged in increasing order. Suppose x_160 = 20.7.x x_161 = 20.9, x_162 = 21.3 and x_163 = 21.4. What is the median of this list? This is an easy question, if you remember the definition. Let x_1, ..., x_485 be a list of numbers, arranged in increasing order. Suppose x_241 = 20.7. x_242 = 20.9, x_243 = 21.3 and x_244 = 21.4. What is the median of this list? Many questionnaires use a five point scale. We practice Chapter 1 ideals on a hypothetical list created from such a question. The scores to a hypothetical question of this kind, collated from 84 tests, are in the following table.

Explanation / Answer

1. Arrange data in ascending order

20.7,20.9,21.3,21.4

Since there arev even no of observations, we take mean of 2 middle terms ie (20.9+21.3)/2 = 21.1

Median value is 21.1 or approximately 162th observation gives the median value.

2 Same as part 1.

Median value is 21.1 or approximately 242nd or 243 rd observation gives the median value.

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