Given:
The depth, d , of a lake is 57 m, rounded to the nearest integer.
To find:
The error interval for d in the form a ≤ d < b.
Solution:
The depth, d , of a lake is 57 m, rounded to the nearest integer.
If the depths of the lake is 56.5m or greater than this up to 57 m, then the depth, d , of a lake is 57 m, rounded to the nearest integer.
[tex]56.5\leq d\leq 57[/tex] ...(i)
If the depths of the lake is 57m or greater than this up to 57.5 m but not 57.5 m, then the depth, d , of a lake is 57 m, rounded to the nearest integer.
[tex]57\leq d<57.5[/tex] ...(ii)
Using (i) and (ii), we get
[tex]56.5\leq d<57.5[/tex]
Therefore, the error interval for d is [tex]56.5\leq d<57.5[/tex].
