Can there be more than one such ‘centre’? In other words, is there any other value such that the sum of the distances Class 8

Can there be more than one such ‘centre’? In other words, is there any other value such that the sum of the distances Class 8

Question 1.

Can there be more than one such ‘centre’? In other words, is there any other value such that the sum of the distances to the values lower than it and the values higher than it will still be equal? Class 8

Solution:

No.

Question 2.

What happens to the mean when an existing value is removed? Class 8

When will the mean increase, decrease, or stay the same?

Solution:

If the removed value is less than the mean, then the new mean will increases, if it is greater the mean, then the new mean will decrease and if it is equal to the mean, then the mean will remain the same.

Question 3.

What happens to the mean if a value equal to the mean is included or removed? Class 8

Solution:

Mean will remain the same.