Week 2 Practice assignment Question No 14

[Aswin M S]

Dear Sir/Madam,

     Please clarify why the mode remain unchanged in this question.  If the two sizes added belongs to the same size on either extremes of the size chart then the median could change. Kindly correct me if I am wrong.  Thanks for the kind attention.

Thank You.

Yours faithfully

Aswin M S

[Sanjaykumar]

Did you mean question no. 13?

Here A choses the  the most frequent Jersey size, because his physique is same as most of the players.

So, his number ads to this frequent number of Jersey size, hence the mode does not change. 

[Sanjaykumar]

Mode and Median are not sensitive to outliers, therefore when the two sizes are added to the two extremes of the size chart, median does not change. As median is at the center (measure of "central" tendency) and not at the end.

[Statistics 1 Support 1]

Hi,

The data given is unimodal and A chooses mode size while B chooses median size. hence, the count of mode observation will increase and mode will remain unchanged. For more clarification, you can refer to the solution pdf or solution video.

Thanks,

Nitin Jha

Course support team

[Aswin M S]

Thanks a lot

[Srinath Sai]

For example, if we randomly list the ordered observations under the 4 categories S, M, L, or XL as  2, 23, 10, 10,

 or in reverse order, XL, L, M, S to read as 10, 10, 23, 2, then M becomes the median either way.

So, if M becomes the mode with the highest number of observations with S having fewer observations and M also turns out to be the median if sorted in either way: S, M, L or X,  or XL, L, M, S, then can't we consider option (c) to be also true?

Kindly clarify. Thanks.

[Srinath Sai]

Question no. 11: 

I am sorry. I didn't mention the question number in my previous query. It's Question no. 11. 

It could also be that L or XL could be the mode or median or both, in which case, we cannot make a definite choice even among the given four options for the given question 'choose which jersey can he order?', as he would then be choosing only between L or XL. Kindly clarify. Thanks