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Question 16.3.4: Find the median of the following weights (in pounds). (a) 30......

Find the median of the following weights (in pounds).

(a) 30 lb, 25 lb, 28 lb, 23 lb, 24 lb

(b) 14 lb, 18 lb, 17 lb, 10 lb, 15 lb, 19 lb, 18 lb, 20 lb

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(a) First list the numbers from smallest to largest.

23, 24, 25, 28, 30   ordered array

There are 5 numbers, so divide 5 by 2 to get 2.5. The next larger whole number is 3, so the median is the third number, or 25. The numbers 23 and 24 are less than 25, and the numbers 28 and 30 are greater than 25.

(b) First list the numbers from smallest to largest.

10, 14, 15, 17, 18, 18, 19, 20   ordered array

There are 8 numbers, so divide 8 by 2 to get 4. The median is the mean of the numbers in the fourth and fifth positions.

Median = \frac{\mathbf{17\ +\ 18}}{\mathbf{2}} = 17.5

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