Question

Find the median of the observations 328,322,346,364,286,224,259,307,299,346.Also find the new median if 307 is replaced by 207

Answer 1

Median is = 314.5
when 307 is replaced by 207
then
median is 264.5

Answer 2

To find the median , We have to arrange the numbers in either ascending order or descending order, and find the middle value,

If there are odd no.of terms then middle value is Median,
If there are even no.of terms then average of middle numbers is median,

If we arrange your numbers in ascending order, then the order is,
224,259,286,299,307,322,328,346,346,364 , In your question there are  two 346, So we have to write it 2 times,

And now we can see that, There even no.of terms, So the median is average of 307 and 322 ,

=> Median = (307+322)/2 = 314.5,

Now if we replace the 307 with 207, Then the new ascending order is,
207,224,259,286,299,322,328,346,346,364 , Now again there are even no.of terms, So The median is average of 299 and 322,

=> New median = (299+322)/2 = 310.5,

Therefore the median if the numbers contain 307 is 314.5, and the Median if 207 is present instead of 307 is 310.5,

Hope you understand, Have a great day !