Question

John's Science book has ten chapters. The number of pages in each chapter is given as: $24,12,9,18,22,23,16,13,29,13$

If a new chapter with $60$ pages is added in the book, what would be the effect on median of the dataset?

• A. will increase
• B. will decrease
• C. will be same

Answer 1

The correct option is A will increase

Data set in increasing order without including $60$ : $9,12,13,13,16,18,22,23,24,29$

The median of data set $=$ mean of $5^{th}\&6^{th}$ position $=\frac{16+18}{2}=17$

Data set in increasing order including $60$ : $9,12,13,13,16,18,22,23,24,29,60$
The median of data set $=18$

We can see on including $60$ , median of the dataset increased.

In the data set : $9,12,13,13,16,18,22,23,24,29,60$

$\Rightarrow 60$ is outlier.