Question

In a basket there are 10 tomatoes. The weight of each of these tomatoes in grams is as follows:

60, 70, 90, 95, 50, 65, 70, 80, 85, 95.

Find the median of the weights of tomatoes.

Answer 1

The weight of 10 tomatoes in a basket in grams in ascending order is as follows:

50, 60, 65, 70, 70, 80, 85, 90, 95, 95

Since, the number of observations is 10, which is even.

So, median

= `1/2 xx [(10 / 2)^"th" "observation" + ( 10/2 +1)^"th" "observation"]`

= `1/2 xx [5^"th" "observation" + ( 5 + 1)^"th" "observation"]`

= `1/2 xx [5^"th" "observation" + 6^"th" "observation"]`

= `1/2 xx [70 +80]`

= `150/2`

= 75

The median of the weights of tomatoes is 75 grams.