CTET 2 Math and Science 21 Jan 2024 Paper

To find the median of the original data set and the modified data set,
let's first arrange the numbers in ascending order:
Original data set: $3,7,8,15,17,21,23,24,29,30$
Modified data set: $7,18,15,17,21,23,24,29,30,33$
Now, let's find the median for each set:
For the original data set:
Since the number of observations is even (10), the median is the average of the 5th and 6th numbers when arranged in ascending order.
Median $\left(\mathit{x}\right)=\left(17+21\right)∕2=19$
For the modified data set:
Since the number of observations is still even (10), the median is the average of the 5th and 6th numbers when arranged in ascending order.
Median $\left(\mathit{y}\right)=\left(21+23\right)∕2=22$
Now, let's find the difference between y and x :
Difference $=\mathit{y}-\mathit{x}$
$=22-19$
$=3$