Question

The following are the weights,in pounds, of some dogs at a kennel: 36,45,29,39,51,49.

find median:
suppose one of the weights were given in kilograms.Can you still find median.

Answer 1

Median = 42 pounds

Explanation:

It is given that the following are the weights,in pounds, of some dogs at a kennel: 36,45,29,39,51,49.

Arrange the data in ascending order.

29, 36, 39, 45, 49, 51

Total number of terms = 6 (even)

So, the formula for median is

`Median=\frac{(n)/(2)\text{th term}+((n)/(2)+1)\text{th term}}{2}`

`Median=\frac{(6)/(2)\text{th term}+((6)/(2)+1)\text{th term}}{2}`

`Median=\frac{3\text{rd term}+4\text{th term}}{2}`

`Median=(39+45)/(2)`

`Median=42`

Hence, the median weight is 42 pounds.

To find the median, units of the data should be same. If one of the weights were given in kilograms, then we cannot find median.