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

Given:

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.

$$\begin{gathered} \mathrm{So},\mathrm{median}=\frac{1}{2}\left[\left(\frac{10}{2}\right)\mathrm{th}\mathrm{observation}+\left(\frac{10}{2}+1\right)\mathrm{th}\mathrm{observation}\right] \\ =\frac{1}{2}\left[5\mathrm{th}\mathrm{observation}+\left(5+1\right)\mathrm{th}\mathrm{observation}\right] \\ =\frac{1}{2}\left[5\mathrm{th}\mathrm{observation}+6\mathrm{th}\mathrm{observation}\right] \\ =\frac{1}{2}\left[70+80\right] \\ =\frac{150}{2} \\ =75 \end{gathered}$$

Find the median of the weights of tomatoes is 75 grams.